Non-Inertial Frames and Dirac Observables in Relativity

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Publisher : Cambridge University Press
ISBN 13 : 110857419X
Total Pages : 339 pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis Non-Inertial Frames and Dirac Observables in Relativity by : Luca Lusanna

Download or read book Non-Inertial Frames and Dirac Observables in Relativity written by Luca Lusanna and published by Cambridge University Press. This book was released on 2019-07-04 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interpreting general relativity relies on a proper description of non-inertial frames and Dirac observables. This book describes global non-inertial frames in special and general relativity. The first part covers special relativity and Minkowski space time, before covering general relativity, globally hyperbolic Einstein space-time, and the application of the 3+1 splitting method to general relativity. The author uses a Hamiltonian description and the Dirac–Bergmann theory of constraints to show that the transition between one non-inertial frame and another is a gauge transformation, extra variables describing the frame are gauge variables, and the measureable matter quantities are gauge invariant Dirac observables. Point particles, fluids and fields are also discussed, including how to treat the problems of relative times in the description of relativistic bound states, and the problem of relativistic centre of mass. Providing a detailed description of mathematical methods, the book is perfect for theoretical physicists, researchers and students working in special and general relativity.

2001: A Relativistic Spacetime Odyssey

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Publisher : World Scientific
ISBN 13 : 9814487988
Total Pages : 524 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis 2001: A Relativistic Spacetime Odyssey by : Ignazio Ciufolini

Download or read book 2001: A Relativistic Spacetime Odyssey written by Ignazio Ciufolini and published by World Scientific. This book was released on 2003-01-16 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers a comprehensive overview of our understanding of gravity at both the experimental and the theoretical level. Critical reviews by experts cover topics ranging from astrophysics (anisotropies in the cosmic microwave background, gamma ray bursts, neutron stars and astroparticles), cosmology, the status of gravitational wave sources and detectors, verification of Newton's law at short distances, the equivalence principle, gravito-magnetism, measurement theory, time machines and the foundations of Einstein's theory, to string theory and loop quantum gravity. Contents:Foundations and Classical General Relativity:Space–Time, General Covariance, Dirac–Bergmann Observables and Non-Inertial Frames (L Lusanna)Physics in the Presence of a Time Machine (I D Novikov)Frame-Dragging and Gravitomagnetism: Theory and Experiment (I Ciufolini)New Tests of the Strong Equivalence Principle and of the Inverse Square Law (E G Adelberger)Cosmology:The Inflationary Universe (A Riotto)Imaging the Early Universe with the BOOMERANG Experiment (P De Bernardis et al.)Gravitational Waves:Gravitational Radiation: A Tool for Testing General Relativity (C M Will)What Gravitational Signals Say about the Structure and the Evolution of Astrophysical Sources (V Ferrari)Astrophysics:Computational Relativity: Collisions of Black Holes (R Matzner)Gamma Ray Bursts: Some Facts and Ideas (G Ghisellini)Quantum Gravity:Spin Foams as Feynman Diagrams (M Reisenberger & C Rovelli)Physics with Large Extra Dimensions (I Antoniadis)Field Theories on Canonical and Lie-Algebra Noncommutative Spacetimes (G Amelino-Camelia et al.)and other papers Readership: Quantum, astro-, high-energy and theoretical physicists. Keywords:

Formulations of General Relativity

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Publisher : Cambridge University Press
ISBN 13 : 1108481647
Total Pages : 391 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Formulations of General Relativity by : Kirill Krasnov

Download or read book Formulations of General Relativity written by Kirill Krasnov and published by Cambridge University Press. This book was released on 2020-11-26 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Carefully documenting the different formulations of general relativity, the author reveals valuable insight into the nature of the gravitational force and its interaction with matter. This book will interest graduate students and researchers in the fields of general relativity, gravitational physics and differential geometry.

General Relativity Research Trends

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Publisher : Nova Publishers
ISBN 13 : 9781594543234
Total Pages : 238 pages
Book Rating : 4.5/5 (432 download)

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Book Synopsis General Relativity Research Trends by : Albert Reimer

Download or read book General Relativity Research Trends written by Albert Reimer and published by Nova Publishers. This book was released on 2006 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: General Relativity Research Trends

Noether Symmetries in Theories of Gravity

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Publisher : Cambridge University Press
ISBN 13 : 100920873X
Total Pages : 452 pages
Book Rating : 4.0/5 (92 download)

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Book Synopsis Noether Symmetries in Theories of Gravity by : Francesco Bajardi

Download or read book Noether Symmetries in Theories of Gravity written by Francesco Bajardi and published by Cambridge University Press. This book was released on 2022-11-24 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume summarizes the many alternatives and extensions to Einstein's General Theory of Relativity, and shows how symmetry principles can be applied to identify physically viable models. The first part of the book establishes the foundations of classical field theory, providing an introduction to symmetry groups and the Noether theorems. A quick overview of general relativity is provided, including discussion of its successes and shortcomings, then several theories of gravity are presented and their main features are summarized. In the second part, the 'Noether Symmetry Approach' is applied to theories of gravity to identify those which contain symmetries. In the third part of the book these selected models are tested through comparison with the latest experiments and observations. This constrains the free parameters in the selected models to fit the current data, demonstrating a useful approach that will allow researchers to construct and constrain modified gravity models for further applications.

The Large Scale Structure of Space-Time

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Publisher : Cambridge University Press
ISBN 13 : 1009253182
Total Pages : 414 pages
Book Rating : 4.0/5 (92 download)

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Book Synopsis The Large Scale Structure of Space-Time by : Stephen W. Hawking

Download or read book The Large Scale Structure of Space-Time written by Stephen W. Hawking and published by Cambridge University Press. This book was released on 2023-02-16 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1973, this influential work discusses Einstein's General Theory of Relativity to show how two of its predictions arise: first, that the ultimate fate of many massive stars is to undergo gravitational collapse to form 'black holes'; and second, that there was a singularity in the past at the beginning of the universe. Starting with a precise formulation of the theory, including the necessary differential geometry, the authors discuss the significance of space-time curvature and examine the properties of a number of exact solutions of Einstein's field equations. They develop the theory of the causal structure of a general space-time, and use it to prove a number of theorems establishing the inevitability of singularities under certain conditions. A Foreword contributed by Abhay Ashtekar and a new Preface from George Ellis help put the volume into context of the developments in the field over the past fifty years.

Semiclassical and Stochastic Gravity

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Publisher : Cambridge University Press
ISBN 13 : 0521193575
Total Pages : 615 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis Semiclassical and Stochastic Gravity by : Bei-Lok B. Hu

Download or read book Semiclassical and Stochastic Gravity written by Bei-Lok B. Hu and published by Cambridge University Press. This book was released on 2020-03-05 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of semi-classical gravity theory and stochastic gravity as theories of quantum gravity in curved space-time.

Tau Functions and their Applications

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Publisher : Cambridge University Press
ISBN 13 : 1108637213
Total Pages : 549 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Tau Functions and their Applications by : John Harnad

Download or read book Tau Functions and their Applications written by John Harnad and published by Cambridge University Press. This book was released on 2021-02-04 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tau functions are a central tool in the modern theory of integrable systems. This volume provides a thorough introduction, starting from the basics and extending to recent research results. It covers a wide range of applications, including generating functions for solutions of integrable hierarchies, correlation functions in the spectral theory of random matrices and combinatorial generating functions for enumerative geometrical and topological invariants. A self-contained summary of more advanced topics needed to understand the material is provided, as are solutions and hints for the various exercises and problems that are included throughout the text to enrich the subject matter and engage the reader. Building on knowledge of standard topics in undergraduate mathematics and basic concepts and methods of classical and quantum mechanics, this monograph is ideal for graduate students and researchers who wish to become acquainted with the full range of applications of the theory of tau functions.

Timeless Quantum Mechanics and the Early Universe

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Publisher : Springer Nature
ISBN 13 : 3030944484
Total Pages : 254 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Timeless Quantum Mechanics and the Early Universe by : Leonardo Chataignier

Download or read book Timeless Quantum Mechanics and the Early Universe written by Leonardo Chataignier and published by Springer Nature. This book was released on 2022-04-04 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is based on the author's PhD thesis, which deals with the concept of time in quantum gravity and its relevance for the physics of the early Universe. It presents a consistent and complete new relational formulation of quantum gravity (more specifically, of quantum mechanics models with diffeomorphism invariance), which is applied to potentially observable cosmological effects. The work provides answers to the following questions: How can the dynamics of quantum states of matter and geometry be defined in a diffeomorphism-invariant way? What is the relevant space of physical states and which operators act on it? How are the quantum states related to probabilities in the absence of a preferred time? The answers can provide a further part of the route to constructing a fundamental theory of quantum gravity. The book is well-suited to graduate students as well as professional researchers in the fields of general relativity and gravitation, cosmology, and quantum foundations.

General Relativity and John Archibald Wheeler

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Publisher : Springer Science & Business Media
ISBN 13 : 9048137357
Total Pages : 548 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis General Relativity and John Archibald Wheeler by : Ignazio Ciufolini

Download or read book General Relativity and John Archibald Wheeler written by Ignazio Ciufolini and published by Springer Science & Business Media. This book was released on 2010-06-22 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Observational and experimental data pertaining to gravity and cosmology are changing our view of the Universe. General relativity is a fundamental key for the understanding of these observations and its theory is undergoing a continuing enhancement of its intersection with observational and experimental data. These data include direct observations and experiments carried out in our solar system, among which there are direct gravitational wave astronomy, frame dragging and tests of gravitational theories from solar system and spacecraft observations. This book explores John Archibald Wheeler's seminal and enduring contributions in relativistic astrophysics and includes: the General Theory of Relativity and Wheeler's influence; recent developments in the confrontation of relativity with experiments; the theory describing gravitational radiation, and its detection in Earth-based and space-based interferometer detectors as well as in Earth-based bar detectors; the mathematical description of the initial value problem in relativity and applications to modeling gravitational wave sources via computational relativity; the phenomenon of frame dragging and its measurement by satellite observations. All of these areas were of direct interest to Professor John A. Wheeler and were seminally influenced by his ideas.

2001, a Relativistic Spacetime Odyssey

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Publisher : World Scientific
ISBN 13 : 9789812380890
Total Pages : 528 pages
Book Rating : 4.3/5 (88 download)

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Book Synopsis 2001, a Relativistic Spacetime Odyssey by : Ignazio Ciufolini

Download or read book 2001, a Relativistic Spacetime Odyssey written by Ignazio Ciufolini and published by World Scientific. This book was released on 2003 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers a comprehensive overview of our understanding of gravity at both the experimental and the theoretical level. Critical reviews by experts cover topics ranging from astrophysics (anisotropies in the cosmic microwave background, gamma ray bursts, neutron stars and astroparticles), cosmology, the status of gravitational wave sources and detectors, verification of Newton's law at short distances, the equivalence principle, gravito-magnetism, measurement theory, time machines and the foundations of Einstein's theory, to string theory and loop quantum gravity.

Relativity and Gravitation

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Publisher : Springer
ISBN 13 : 3319067613
Total Pages : 590 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Relativity and Gravitation by : Jiří Bičák

Download or read book Relativity and Gravitation written by Jiří Bičák and published by Springer. This book was released on 2014-06-06 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: In early April 1911 Albert Einstein arrived in Prague to become full professor of theoretical physics at the German part of Charles University. It was there, for the first time, that he concentrated primarily on the problem of gravitation. Before he left Prague in July 1912 he had submitted the paper “Relativität und Gravitation: Erwiderung auf eine Bemerkung von M. Abraham” in which he remarkably anticipated what a future theory of gravity should look like. At the occasion of the Einstein-in-Prague centenary an international meeting was organized under a title inspired by Einstein's last paper from the Prague period: "Relativity and Gravitation, 100 Years after Einstein in Prague". The main topics of the conference included: classical relativity, numerical relativity, relativistic astrophysics and cosmology, quantum gravity, experimental aspects of gravitation and conceptual and historical issues. The conference attracted over 200 scientists from 31 countries, among them a number of leading experts in the field of general relativity and its applications. This volume includes abstracts of the plenary talks and full texts of contributed talks and articles based on the posters presented at the conference. These describe primarily original results of the authors. Full texts of the plenary talks are included in the volume "General Relativity, Cosmology and Astrophysics--Perspectives 100 Years after Einstein in Prague", eds. J. Bičák and T. Ledvinka, published also by Springer Verlag.

A Century of Relativity Physics

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Publisher :
ISBN 13 :
Total Pages : 706 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis A Century of Relativity Physics by : Lysiane Mornas

Download or read book A Century of Relativity Physics written by Lysiane Mornas and published by . This book was released on 2006 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the occasion of the World Year of Physics, which commemorated the centenary of the publication of several major papers by Einstein and the birth of the Theory of Relativity, this edition of the Spanish Relativity Meeting is endeavored to cover as many aspects as possible of the foundations, applications and future vistas of this branch of modern physics. Topics included are: foundations of special and general relativity, observational tests, relativistic astrophysics, gravitational waves, numerical relativity, cosmology, early universe, dark matter, exact solutions of Einstein equations, black holes, quantum gravity, string theory, discrete space-time, non-commutative geometry, relativistic statistical and nuclear physics, compact stars, and historical and philosophical perspectives.

Relativity and the Dimensionality of the World

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Publisher : Springer Science & Business Media
ISBN 13 : 1402063180
Total Pages : 283 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Relativity and the Dimensionality of the World by : Vesselin Petkov

Download or read book Relativity and the Dimensionality of the World written by Vesselin Petkov and published by Springer Science & Business Media. This book was released on 2007-10-08 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main focus of this volume is the question: is spacetime nothing more than a mathematical space (which describes the evolution in time of the ordinary three-dimensional world) or is it a mathematical model of a real four-dimensional world with time entirely given as the fourth dimension? The book contains fourteen invited papers which either directly address the main question of the nature of spacetime or explore issues related to it.

Frontiers of Fundamental Physics and Physics Education Research

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Publisher : Springer Science & Business Media
ISBN 13 : 331900297X
Total Pages : 586 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Frontiers of Fundamental Physics and Physics Education Research by : Burra G. Sidharth

Download or read book Frontiers of Fundamental Physics and Physics Education Research written by Burra G. Sidharth and published by Springer Science & Business Media. This book was released on 2014-03-20 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a knowledge-based society, research into fundamental physics plays a vital role not only in the enhancement of human knowledge but also in the development of new technology that affects everyday life.The international symposium series Frontiers of Fundamental Physics (FFP) regularly brings together eminent scholars and researchers working in various areas in physics to exchange expertise, ideas, results, and new research perspectives. The twelfth such symposium, FFP12, took place at the University of Udine, Italy, and covered diverse fields of research: astrophysics, high energy physics and particle physics, theoretical physics, gravitation and cosmology, condensed matter physics, statistical physics, computational physics, and mathematical physics. Importantly, it also devoted a great deal of attention to physics education research, teacher training in modern physics, and popularization of physics. The high scientific level of FFP12 was guaranteed by the careful selection made by scientific coordinators from among 250 submissions from 28 countries across the world. During the three days of the conference, nine general talks were delivered in plenary sessions, 29 invited talks were given in specific topic areas, and 59 oral presentations were made. This book presents a selection of the best contributions at FFP12 with the aim of acquainting readers with the most important recent advances in fundamental physics and in physics education and teacher development.

Gravity: Where Do We Stand?

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Publisher : Springer
ISBN 13 : 3319202243
Total Pages : 484 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Gravity: Where Do We Stand? by : Roberto Peron

Download or read book Gravity: Where Do We Stand? written by Roberto Peron and published by Springer. This book was released on 2015-12-14 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an overview of the current understanding of gravitation, with a focus on the current efforts to test its theory, especially general relativity. It shows how the quest for a deeper theory, which would possibly incorporate gravity in the quantum realm, is more than ever an open field. The majority of the contributions deals with the manifold facets of “experimental gravitation”, but the book goes beyond this and covers a broad range of subjects from the foundations of gravitational theories to astrophysics and cosmology. The book is divided into three parts. The first part deals with foundations and Solar System tests. An introductory pedagogical chapter reviews first Newtonian gravitational theory, special relativity, the equivalence principle and the basics of general relativity. Then it focuses on approximation methods, mainly the post-Newtonian formalism and the relaxed Einstein equations, with a discussion on how they are used in treating experimental tests and in the problem of generation and detection of gravitational waves. Following this is a set of chapters describing the most recent experiments, techniques and observations on the testing of gravity theories in the laboratory, around the Earth and in the Solar System. The second part is dedicated to astrophysical topics deeply linked with the study of gravitation, namely binary pulsars and the perspective of direct detection of gravitational waves. These cases are paradigmatic in that the gravitational signals act at the same time as messengers helping us to understand the properties of important and wide classes of astrophysical objects. The third part explores the many open issues in current knowledge of gravitation machinery, especially related to astrophysical and cosmological problems and the way possible solutions to them impact the quest for a quantum theory of gravitation and unified theory. Included is a selection of the many possible paths, giving a hint to the subtleties one is called upon. Whenever possible, a close link to observational constraints and possible experimental tests is provided. In selecting the topics of the various contributions, particular care has been devoted to ensure their fit in a coherent representation of our understanding of gravitational phenomena. The book is aimed at graduate level students and will form a valuable reference for those working in the field.

Black Objects in Supergravity

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Publisher : Springer Science & Business Media
ISBN 13 : 3319002155
Total Pages : 358 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Black Objects in Supergravity by : Stefano Bellucci

Download or read book Black Objects in Supergravity written by Stefano Bellucci and published by Springer Science & Business Media. This book was released on 2013-07-20 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the sixth volume in a series of books on the general topics of supersymmetry, supergravity, black holes and the attractor mechanism. The present volume is based upon lectures held in May 2011 at the INFN-Laboratori Nazionali di Frascati School on Black Objects in Supergravity (BOSS2011), directed by Stefano Bellucci, with the participation of prestigious lecturers, including G. Lopes Cardoso, W. Chemissany, T. Ortin, J. Perz, O. Vaughan, D. Turton, L. Lusanna and S. Ferrara. All lectures were at a pedagogical, introductory level, a feature which is reflected in the specific "flavor" of this volume, which also benefited greatly from extensive discussions and related reworking of the various contributions.