Elements Of General Relativity

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Elements of General Relativity

Author : Piotr T. Chruściel
Publisher : Springer Nature
ISBN 13 : 3030284166
Total Pages : 285 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Elements of General Relativity by : Piotr T. Chruściel

Download or read book Elements of General Relativity written by Piotr T. Chruściel and published by Springer Nature. This book was released on 2020-03-19 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the mathematics and physics of general relativity, its basic physical concepts, its observational implications, and the new insights obtained into the nature of space-time and the structure of the universe. It introduces some of the most striking aspects of Einstein's theory of gravitation: black holes, gravitational waves, stellar models, and cosmology. It contains a self-contained introduction to tensor calculus and Riemannian geometry, using in parallel the language of modern differential geometry and the coordinate notation, more familiar to physicists. The author has strived to achieve mathematical rigour, with all notions given careful mathematical meaning, while trying to maintain the formalism to the minimum fit-for-purpose. Familiarity with special relativity is assumed. The overall aim is to convey some of the main physical and geometrical properties of Einstein's theory of gravitation, providing a solid entry point to further studies of the mathematics and physics of Einstein equations.

Elements of General Relativity

Author : Piotr T. Chruściel
Publisher : Birkhäuser
ISBN 13 : 9783030284152
Total Pages : 283 pages
Book Rating : 4.2/5 (841 download)

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Book Synopsis Elements of General Relativity by : Piotr T. Chruściel

Download or read book Elements of General Relativity written by Piotr T. Chruściel and published by Birkhäuser. This book was released on 2020-03-20 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the mathematics and physics of general relativity, its basic physical concepts, its observational implications, and the new insights obtained into the nature of space-time and the structure of the universe. It introduces some of the most striking aspects of Einstein's theory of gravitation: black holes, gravitational waves, stellar models, and cosmology. It contains a self-contained introduction to tensor calculus and Riemannian geometry, using in parallel the language of modern differential geometry and the coordinate notation, more familiar to physicists. The author has strived to achieve mathematical rigour, with all notions given careful mathematical meaning, while trying to maintain the formalism to the minimum fit-for-purpose. Familiarity with special relativity is assumed. The overall aim is to convey some of the main physical and geometrical properties of Einstein's theory of gravitation, providing a solid entry point to further studies of the mathematics and physics of Einstein equations.

General Relativity

Author : Michael J W Hall
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681748843
Total Pages : 122 pages
Book Rating : 4.6/5 (817 download)

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Book Synopsis General Relativity by : Michael J W Hall

Download or read book General Relativity written by Michael J W Hall and published by Morgan & Claypool Publishers. This book was released on 2018-03-23 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on a set of 18 class-tested lectures delivered to fourth-year physics undergraduates at Griffith University in Brisbane, and the book presents new discoveries by the Nobel-prize winning LIGO collaboration. The author begins with a review of special relativity and tensors and then develops the basic elements of general relativity (a beautiful theory that unifies special relativity and gravitation via geometry) with applications to the gravitational deflection of light, global positioning systems, black holes, gravitational waves, and cosmology. The book provides readers with a solid understanding of the underlying physical concepts; an ability to appreciate and in many cases derive important applications of the theory; and a solid grounding for those wishing to pursue their studies further. General Relativity: An Introduction to Black Holes, Gravitational Waves, and Cosmology also connects general relativity with broader topics. There is no doubt that general relativity is an active and exciting field of physics, and this book successfully transmits that excitement to readers.

Group Theory and General Relativity

Author : Moshe Carmeli
Publisher : World Scientific
ISBN 13 : 9781860942341
Total Pages : 416 pages
Book Rating : 4.9/5 (423 download)

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Book Synopsis Group Theory and General Relativity by : Moshe Carmeli

Download or read book Group Theory and General Relativity written by Moshe Carmeli and published by World Scientific. This book was released on 2000 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the only book on the subject of group theory and Einstein's theory of gravitation. It contains an extensive discussion on general relativity from the viewpoint of group theory and gauge fields. It also puts together in one volume many scattered, original works, on the use of group theory in general relativity theory. There are twelve chapters in the book. The first six are devoted to rotation and Lorentz groups, and their representations. They include the spinor representation as well as the infinite-dimensional representations. The other six chapters deal with the application of groups -- particularly the Lorentz and the SL(2, C) groups -- to the theory of general relativity. Each chapter is concluded with a set of problems. The topics covered range from the fundamentals of general relativity theory, its formulation as an SL(2, C) gauge theory, to exact solutions of the Einstein gravitational field equations. The important Bondi-Metzner-Sachs group, and its representations, conclude the book The entire book is self-contained in both group theory and general relativity theory, and no prior knowledge of either is assumed. The subject of this book constitutes a relevant link between field theoreticians and general relativity theoreticians, who usually work rather independently of each other. The treatise is highly topical and of real interest to theoretical physicists, general relativists and applied mathematicians. It is invaluable to graduate students and research workers in quantum field theory, general relativity and elementary particle theory.

Spacetime and Geometry

Author : Sean M. Carroll
Publisher : Cambridge University Press
ISBN 13 : 1108488390
Total Pages : 529 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Spacetime and Geometry by : Sean M. Carroll

Download or read book Spacetime and Geometry written by Sean M. Carroll and published by Cambridge University Press. This book was released on 2019-08-08 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications.

The Perfect Theory

Author : Pedro G. Ferreira
Publisher : HMH
ISBN 13 : 0547554907
Total Pages : 309 pages
Book Rating : 4.5/5 (475 download)

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Book Synopsis The Perfect Theory by : Pedro G. Ferreira

Download or read book The Perfect Theory written by Pedro G. Ferreira and published by HMH. This book was released on 2014-02-04 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: “One of the best popular accounts of how Einstein and his followers have been trying to explain the universe for decades” (Kirkus Reviews, starred review). Physicists have been exploring, debating, and questioning the general theory of relativity ever since Albert Einstein first presented it in 1915. This has driven their work to unveil the universe’s surprising secrets even further, and many believe more wonders remain hidden within the theory’s tangle of equations, waiting to be exposed. In this sweeping narrative of science and culture, an astrophysicist brings general relativity to life through the story of the brilliant physicists, mathematicians, and astronomers who have taken up its challenge. For these scientists, the theory has been both a treasure trove and an enigma. Einstein’s theory, which explains the relationships among gravity, space, and time, is possibly the most perfect intellectual achievement of modern physics—yet studying it has always been a controversial endeavor. Relativists were the target of persecution in Hitler’s Germany, hounded in Stalin’s Russia, and disdained in 1950s America. Even today, PhD students are warned that specializing in general relativity will make them unemployable. Still, general relativity has flourished, delivering key insights into our understanding of the origin of time and the evolution of all the stars and galaxies in the cosmos. Its adherents have revealed what lies at the farthest reaches of the universe, shed light on the smallest scales of existence, and explained how the fabric of reality emerges. Dark matter, dark energy, black holes, and string theory are all progeny of Einstein’s theory. In the midst of a momentous transformation in modern physics, as scientists look farther and more clearly into space than ever before, The Perfect Theory exposes the greater relevance of general relativity, showing us where it started, where it has led—and where it can still take us.

General Relativity and Gravitational Waves

Author : Joseph Weber
Publisher : Courier Corporation
ISBN 13 : 0486438872
Total Pages : 210 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis General Relativity and Gravitational Waves by : Joseph Weber

Download or read book General Relativity and Gravitational Waves written by Joseph Weber and published by Courier Corporation. This book was released on 2004-01-01 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: An internationally famous physicist and electrical engineer, the author of this text was a pioneer in the investigation of gravitational waves. Joseph Weber's General Relativity and Gravitational Waves offers a classic treatment of the subject. Appropriate for upper-level undergraduates and graduate students, this text remains ever relevant. Brief but thorough in its introduction to the foundations of general relativity, it also examines the elements of Riemannian geometry and tensor calculus applicable to this field. Approximately a quarter of the contents explores theoretical and experimental aspects of gravitational radiation. The final chapter focuses on selected topics related to general relativity, including the equations of motion, unified field theories, Friedman's solution of the cosmological problem, and the Hamiltonian formulation of general relativity. Exercises. Index.

Topics in the Foundations of General Relativity and Newtonian Gravitation Theory

Author : David B. Malament
Publisher : University of Chicago Press
ISBN 13 : 0226502473
Total Pages : 363 pages
Book Rating : 4.2/5 (265 download)

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Book Synopsis Topics in the Foundations of General Relativity and Newtonian Gravitation Theory by : David B. Malament

Download or read book Topics in the Foundations of General Relativity and Newtonian Gravitation Theory written by David B. Malament and published by University of Chicago Press. This book was released on 2012-04-02 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Topics in the Foundations of General Relativity and Newtonian Gravitation Theory, David B. Malament presents the basic logical-mathematical structure of general relativity and considers a number of special topics concerning the foundations of general relativity and its relation to Newtonian gravitation theory. These special topics include the geometrized formulation of Newtonian theory (also known as Newton-Cartan theory), the concept of rotation in general relativity, and Gödel spacetime. One of the highlights of the book is a no-go theorem that can be understood to show that there is no criterion of orbital rotation in general relativity that fully answers to our classical intuitions. Topics is intended for both students and researchers in mathematical physics and philosophy of science.

General Relativity

Author : Robert M. Wald
Publisher : University of Chicago Press
ISBN 13 : 0226870375
Total Pages : 507 pages
Book Rating : 4.2/5 (268 download)

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Book Synopsis General Relativity by : Robert M. Wald

Download or read book General Relativity written by Robert M. Wald and published by University of Chicago Press. This book was released on 2010-05-15 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Wald's book is clearly the first textbook on general relativity with a totally modern point of view; and it succeeds very well where others are only partially successful. The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding."—S. Chandrasekhar "A tour de force: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect."—L. P. Hughston, Times Higher Education Supplement "Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come."—James W. York, Physics Today

Applied General Relativity

Author : Michael H. Soffel
Publisher : Springer Nature
ISBN 13 : 3030196739
Total Pages : 540 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Applied General Relativity by : Michael H. Soffel

Download or read book Applied General Relativity written by Michael H. Soffel and published by Springer Nature. This book was released on 2019-09-23 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the late 20th and beginning 21st century high-precision astronomy, positioning and metrology strongly rely on general relativity. Supported by exercises and solutions this book offers graduate students and researchers entering those fields a self-contained and exhaustive but accessible treatment of applied general relativity. The book is written in a homogenous (graduate level textbook) style allowing the reader to understand the arguments step by step. It first introduces the mathematical and theoretical foundations of gravity theory and then concentrates on its general relativistic applications: clock rates, clock sychronization, establishment of time scales, astronomical references frames, relativistic astrometry, celestial mechanics and metrology. The authors present up-to-date relativistic models for applied techniques such as Satellite LASER Ranging (SLR), Lunar LASER Ranging (LLR), Globale Navigation Satellite Systems (GNSS), Very Large Baseline Interferometry (VLBI), radar measurements, gyroscopes and pulsar timing. A list of acronyms helps the reader keep an overview and a mathematical appendix provides required functions and terms.

Relativity and Geometry

Author : Roberto Torretti
Publisher : Elsevier
ISBN 13 : 1483147371
Total Pages : 408 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Relativity and Geometry by : Roberto Torretti

Download or read book Relativity and Geometry written by Roberto Torretti and published by Elsevier. This book was released on 2014-05-20 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relativity and Geometry aims to elucidate the motivation and significance of the changes in physical geometry brought about by Einstein, in both the first and the second phases of relativity. The book contains seven chapters and a mathematical appendix. The first two chapters review a historical background of relativity. Chapter 3 centers on Einstein's first Relativity paper of 1905. Subsequent chapter presents the Minkowskian formulation of special relativity. Chapters 5 and 6 deal with Einstein's search for general relativity from 1907 to 1915, as well as some aspects and subsequent developments of the theory. The last chapter explores the concept of simultaneity, geometric conventionalism, and a few other questions concerning space time structure, causality, and time.

Gravitational Physics

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309172675
Total Pages : 126 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Gravitational Physics by : National Research Council

Download or read book Gravitational Physics written by National Research Council and published by National Academies Press. This book was released on 1999-11-03 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gravitational Physics assesses the achievements of the field over the past decade in both theory and experiment, identifies the most promising opportunities for research in the next decade, and describes the resources necessary to realize those opportunities. A major theme running through the opportunities is the exploration of strong gravitational fields, such as those associated with black holes. The book, part of the ongoing decadal survey Physics in a New Era, examines topics such as gravitational waves and their detection, classical and quantum theory of strong gravitational fields, precision measurements, and astronomical observations relevant to the predictions of Einstein's theory of general relativity.

A Short Course in General Relativity

Author : James A. Foster
Publisher : Springer Science & Business Media
ISBN 13 : 0387275835
Total Pages : 295 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis A Short Course in General Relativity by : James A. Foster

Download or read book A Short Course in General Relativity written by James A. Foster and published by Springer Science & Business Media. This book was released on 2010-04-30 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for a one-semester course in general relativity for senior undergraduates or beginning graduate students, this text clarifies the mathematical aspects of Einstein's theory of relativity without sacrificing physical understanding.

A First Course in General Relativity

Author : Bernard F. Schutz
Publisher : Cambridge University Press
ISBN 13 : 9780521277037
Total Pages : 396 pages
Book Rating : 4.2/5 (77 download)

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Book Synopsis A First Course in General Relativity by : Bernard F. Schutz

Download or read book A First Course in General Relativity written by Bernard F. Schutz and published by Cambridge University Press. This book was released on 1985-01-31 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook develops general relativity and its associated mathematics from a minimum of prerequisites, leading to a physical understanding of the theory in some depth.

Elements of Modern Physics

Author : S. H. Patil
Publisher : Springer Nature
ISBN 13 : 3030701433
Total Pages : 432 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Elements of Modern Physics by : S. H. Patil

Download or read book Elements of Modern Physics written by S. H. Patil and published by Springer Nature. This book was released on 2021-03-12 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers important concepts and applications of contemporary physics. The book emphasizes logical development of the subject and attempts to maintain rigor in the analytical discussions. The text has been presented in a concise and lucid manner. A modern description of properties and interaction of particle is given along with discussions on topics such as cosmology, laser and applications. The concepts are illustrated by numerous worked examples. Selected problems given at the end of each chapter help students to evaluate their skills. The book with its simple style, comprehensive and up-to-date coverage is highly useful for physics students. The detailed coverage and pedagogical tools make this an ideal book also for the engineering students studying core courses in physics.

Introduction to General Relativity, Black Holes, and Cosmology

Author : Yvonne Choquet-Bruhat
Publisher : Oxford University Press, USA
ISBN 13 : 0199666466
Total Pages : 301 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis Introduction to General Relativity, Black Holes, and Cosmology by : Yvonne Choquet-Bruhat

Download or read book Introduction to General Relativity, Black Holes, and Cosmology written by Yvonne Choquet-Bruhat and published by Oxford University Press, USA. This book was released on 2015 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: General Relativity is a beautiful geometric theory, simple in its mathematical formulation but leading to numerous consequences with striking physical interpretations: gravitational waves, black holes, cosmological models, and so on. This introductory textbook is written for mathematics students interested in physics and physics students interested in exact mathematical formulations (or for anyone with a scientific mind who is curious to know more of the world we live in), recent remarkable experimental and observational results which confirm the theory are clearly described and no specialised physics knowledge is required. The mathematical level of Part A is aimed at undergraduate students and could be the basis for a course on General Relativity. Part B is more advanced, but still does not require sophisticated mathematics. Based on Yvonne Choquet-Bruhat's more advanced text, General Relativity and the Einstein Equations, the aim of this book is to give with precision, but as simply as possible, the foundations and main consequences of General Relativity. The first five chapters from General Relativity and the Einstein Equations have been updated with new sections and chapters on black holes, gravitational waves, singularities, and the Reissner-Nordstrom and interior Schwarzchild solutions. The rigour behind this book will provide readers with the perfect preparation to follow the great mathematical progress in the actual development, as well as the ability to model, the latest astrophysical and cosmological observations. The book presents basic General Relativity and provides a basis for understanding and using the fundamental theory.

Einstein's General Theory of Relativity

Author : Brian P. Dolan
Publisher : Cambridge University Press
ISBN 13 : 1009263714
Total Pages : 215 pages
Book Rating : 4.0/5 (92 download)

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Book Synopsis Einstein's General Theory of Relativity by : Brian P. Dolan

Download or read book Einstein's General Theory of Relativity written by Brian P. Dolan and published by Cambridge University Press. This book was released on 2023-06-30 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein's general theory of relativity can be a notoriously difficult subject for students approaching it for the first time, with arcane mathematical concepts such as connection coefficients and tensors adorned with a forest of indices. This book is an elementary introduction to Einstein's theory and the physics of curved space-times that avoids these complications as much as possible. Its first half describes the physics of black holes, gravitational waves and the expanding Universe, without using tensors. Only in the second half are Einstein's field equations derived and used to explain the dynamical evolution of the early Universe and the creation of the first elements. Each chapter concludes with problem sets and technical mathematical details are given in the appendices. This short text is intended for undergraduate physics students who have taken courses in special relativity and advanced mechanics.