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Author : Vivek Venkatraman Iyer
Publisher :
ISBN 13 :
Total Pages : 80 pages
Book Rating : 4.:/5 (371 download)
Download or read book Lagrangian Perfect Fluids and Black Hole Mechanics written by Vivek Venkatraman Iyer and published by . This book was released on 1996 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yvonne Choquet-Bruhat
Publisher : Oxford University Press
ISBN 13 : 0199666458
Total Pages : 300 pages
Book Rating : 4.1/5 (996 download)
Download or read book Introduction to General Relativity, Black Holes, and Cosmology written by Yvonne Choquet-Bruhat and published by Oxford University Press. This book was released on 2015 with total page 300 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.
Author : Paul Ramond
Publisher : Springer Nature
ISBN 13 : 3031179641
Total Pages : 408 pages
Book Rating : 4.0/5 (311 download)
Download or read book The First Law of Mechanics in General Relativity & Isochrone Orbits in Newtonian Gravity written by Paul Ramond and published by Springer Nature. This book was released on 2023-06-01 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: The thesis tackles two distinct problems of great interest in gravitational mechanics — one relativistic and one Newtonian. The relativistic one is concerned with the "first law of binary mechanics", a remarkably simple variational relation that plays a crucial role in the modern understanding of the gravitational two-body problem, thereby contributing to the effort to detect gravitational-wave signals from binary systems of black holes and neutron stars. The work reported in the thesis provides a mathematically elegant extension of previous results to compact objects that carry spin angular momentum and quadrupolar deformations, which more accurately represent astrophysical bodies than mere point particles. The Newtonian problem is concerned with the isochrone problem of celestial mechanics, namely the determination of the set of radial potentials whose bounded orbits have a radial period independent of the angular momentum. The thesis solves this problem completely in a geometrical way and explores its consequence on a variety of levels, in particular with a complete characterisation of isochrone orbits. The thesis is exceptional in the breadth of its scope and achievements. It is clearly and eloquently written, makes excellent use of images, provides careful explanations of the concepts and calculations, and it conveys the author’s personality in a way that is rare in scientific writing, while never sacrificing academic rigor.
Author : Dieter Lüst
Publisher : Springer
ISBN 13 : 3030109194
Total Pages : 116 pages
Book Rating : 4.0/5 (31 download)
Download or read book Black Hole Information and Thermodynamics written by Dieter Lüst and published by Springer. This book was released on 2019-01-25 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on Prof. Lüst's Masters course at the University of Munich, this book begins with a short introduction to general relativity. It then presents black hole solutions, and discusses Penrose diagrams, black hole thermodynamics and entropy, the Unruh effect, Hawking radiation, the black hole information problem, black holes in supergravity and string theory, the black hole microstate counting in string theory, asymptotic symmetries in general relativity, and a particular quantum model for black holes. The book offers an up-to-date summary of all the pertinent questions in this highly active field of physics, and is ideal reading for graduate students and young researchers.
Author : Noel Doughty
Publisher : CRC Press
ISBN 13 : 0429973160
Total Pages : 436 pages
Book Rating : 4.4/5 (299 download)
Download or read book Lagrangian Interaction written by Noel Doughty and published by CRC Press. This book was released on 2018-03-08 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to Lagrangian mechanics, starting with Newtonian physics and proceeding to topics such as relativistic Lagrangian fields and Lagrangians in General Relativity, electrodynamics, Gauge theory, and relativistic gravitation. The mathematical notation used is introduced and explained as the book progresses, so it can be understood by students at the undergraduate level in physics or applied mathmatics, yet it is rigorous enough to serve as an introduction to the mathematics and concepts required for courses in relativistic quantum field theory and general relativity.
Author : Alain Jean Brizard
Publisher : World Scientific
ISBN 13 : 9812818367
Total Pages : 276 pages
Book Rating : 4.8/5 (128 download)
Download or read book An Introduction to Lagrangian Mechanics written by Alain Jean Brizard and published by World Scientific. This book was released on 2008 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Lagrangian Mechanics begins with a proper historical perspective on the Lagrangian method by presenting Fermat's Principle of Least Time (as an introduction to the Calculus of Variations) as well as the principles of Maupertuis, Jacobi, and d'Alembert that preceded Hamilton's formulation of the Principle of Least Action, from which the Euler?Lagrange equations of motion are derived. Other additional topics not traditionally presented in undergraduate textbooks include the treatment of constraint forces in Lagrangian Mechanics; Routh's procedure for Lagrangian systems with symmetries; the art of numerical analysis for physical systems; variational formulations for several continuous Lagrangian systems; an introduction to elliptic functions with applications in Classical Mechanics; and Noncanonical Hamiltonian Mechanics and perturbation theory.This textbook is suitable for undergraduate students who have acquired the mathematical skills needed to complete a course in Modern Physics.
Author : Eric Poisson
Publisher : Cambridge University Press
ISBN 13 : 1139451995
Total Pages : 253 pages
Book Rating : 4.1/5 (394 download)
Download or read book A Relativist's Toolkit written by Eric Poisson and published by Cambridge University Press. This book was released on 2004-05-06 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2004 textbook fills a gap in the literature on general relativity by providing the advanced student with practical tools for the computation of many physically interesting quantities. The context is provided by the mathematical theory of black holes, one of the most elegant, successful, and relevant applications of general relativity. Among the topics discussed are congruencies of timelike and null geodesics, the embedding of spacelike, timelike and null hypersurfaces in spacetime, and the Lagrangian and Hamiltonian formulations of general relativity. Although the book is self-contained, it is not meant to serve as an introduction to general relativity. Instead, it is meant to help the reader acquire advanced skills and become a competent researcher in relativity and gravitational physics. The primary readership consists of graduate students in gravitational physics. It will also be a useful reference for more seasoned researchers working in this field.
Author : Anadijiban Das
Publisher : Springer Science & Business Media
ISBN 13 : 1461436583
Total Pages : 694 pages
Book Rating : 4.4/5 (614 download)
Download or read book The General Theory of Relativity written by Anadijiban Das and published by Springer Science & Business Media. This book was released on 2012-06-26 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: The General Theory of Relativity: A Mathematical Exposition will serve readers as a modern mathematical introduction to the general theory of relativity. Throughout the book, examples, worked-out problems, and exercises (with hints and solutions) are furnished. Topics in this book include, but are not limited to: tensor analysis the special theory of relativity the general theory of relativity and Einstein’s field equations spherically symmetric solutions and experimental confirmations static and stationary space-time domains black holes cosmological models algebraic classifications and the Newman-Penrose equations the coupled Einstein-Maxwell-Klein-Gordon equations appendices covering mathematical supplements and special topics Mathematical rigor, yet very clear presentation of the topics make this book a unique text for both university students and research scholars. Anadijiban Das has taught courses on Relativity Theory at The University College of Dublin, Ireland, Jadavpur University, India, Carnegie-Mellon University, USA, and Simon Fraser University, Canada. His major areas of research include, among diverse topics, the mathematical aspects of general relativity theory. Andrew DeBenedictis has taught courses in Theoretical Physics at Simon Fraser University, Canada, and is also a member of The Pacific Institute for the Mathematical Sciences. His research interests include quantum gravity, classical gravity, and semi-classical gravity.
Author : Tai L. Chow
Publisher : Springer Science & Business Media
ISBN 13 : 038773631X
Total Pages : 285 pages
Book Rating : 4.3/5 (877 download)
Download or read book Gravity, Black Holes, and the Very Early Universe written by Tai L. Chow and published by Springer Science & Business Media. This book was released on 2007-10-24 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here it is, in a nutshell: the history of one genius’s most crucial work – discoveries that were to change the face of modern physics. In the early 1900s, Albert Einstein formulated two theories that would forever change the landscape of physics: the Special Theory of Relativity and the General Theory of Relativity. Respected American academic Professor Tai Chow tells us the story of these discoveries. He details the basic ideas of Einstein, including his law of gravitation. Deftly employing his inimitable writing style, he goes on to explain the physics behind black holes, weaving into his account an explanation of the structure of the universe and the science of cosmology.
Author :
Publisher :
ISBN 13 :
Total Pages : 836 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (317 download)
Download or read book Ideal Black Hole Fluid written by and published by . This book was released on 1989 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yvonne Choquet-Bruhat
Publisher : Oxford University Press, USA
ISBN 13 : 0199666466
Total Pages : 301 pages
Book Rating : 4.1/5 (996 download)
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: A precise yet simple introduction to the foundations and main consequences of General Relativity. The first five chapters from Choquet-Bruhat's General Relativity and the Einstein Equations (2008) have been updated with new sections and chapters on black holes, gravitational waves, singularities and more to form this textbook.
Author : Demetrios Christodoulou
Publisher : European Mathematical Society
ISBN 13 : 9783037190685
Total Pages : 608 pages
Book Rating : 4.1/5 (96 download)
Download or read book The Formation of Black Holes in General Relativity written by Demetrios Christodoulou and published by European Mathematical Society. This book was released on 2009 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1965 Penrose introduced the fundamental concept of a trapped surface, on the basis of which he proved a theorem which asserts that a spacetime containing such a surface must come to an end. The presence of a trapped surface implies, moreover, that there is a region of spacetime, the black hole, which is inaccessible to observation from infinity. Since that time a major challenge has been to find out how trapped surfaces actually form, by analyzing the dynamics of gravitational collapse. The present monograph achieves this aim by establishing the formation of trapped surfaces in pure general relativity through the focusing of gravitational waves. The theorems proved in this monograph constitute the first foray into the long-time dynamics of general relativity in the large, that is, when the initial data are no longer confined to a suitable neighborhood of trivial data. The main new method, the short pulse method, applies to general systems of Euler-Lagrange equations of hyperbolic type and provides the means to tackle problems which have hitherto seemed unapproachable. This monograph will be of interest to people working in general relativity, geometric analysis, and partial differential equations.
Author : José Rachid Mohallem
Publisher : Springer Nature
ISBN 13 : 3031552024
Total Pages : 150 pages
Book Rating : 4.0/5 (315 download)
Download or read book Lagrangian and Hamiltonian Mechanics written by José Rachid Mohallem and published by Springer Nature. This book was released on with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Patrick Hamill
Publisher : Cambridge University Press
ISBN 13 : 1107042887
Total Pages : 185 pages
Book Rating : 4.1/5 (7 download)
Download or read book A Student's Guide to Lagrangians and Hamiltonians written by Patrick Hamill and published by Cambridge University Press. This book was released on 2014 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise treatment of variational techniques, focussing on Lagrangian and Hamiltonian systems, ideal for physics, engineering and mathematics students.
Author : Hüseyin Canbolat
Publisher : BoD – Books on Demand
ISBN 13 : 9535131311
Total Pages : 178 pages
Book Rating : 4.5/5 (351 download)
Download or read book Lagrangian Mechanics written by Hüseyin Canbolat and published by BoD – Books on Demand. This book was released on 2017-05-03 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lagrangian mechanics is widely used in several areas of research and technology. It is simply a reformulation of the classical mechanics by the mathematician and astronomer Joseph-Louis Lagrange in 1788. Since then, this approach has been applied to various fields. In this book, the section authors provide state-of-the-art research studies on Lagrangian mechanics. Hopefully, the researchers will benefit from the book in conducting their studies.
Author : Ulf Danielsson
Publisher : World Scientific
ISBN 13 : 9814479667
Total Pages : 107 pages
Book Rating : 4.8/5 (144 download)
Download or read book String Theory And Cosmology - Proceedings Of The Nobel Symposium 127 written by Ulf Danielsson and published by World Scientific. This book was released on 2005-08-02 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Nobel Symposium in 2003 on String Theory and Cosmology was a gathering of many of the most active and distinguished scientists in the world, including Stephen Hawking, 2004 Nobel Prize winner David Gross, and Andrei Linde. The experts, comprising both theoreticians and experimentalists, were given the opportunity to discuss the present status of their respective subjects. Throughout the symposium, special attention was given to the connections between the fields: the questions posed ranged from ”Can cosmology be used to test string theory?” to ”Can string theory answer deep questions about cosmology?” The symposium marked a new era in the understanding of the science of the very small and the very large. This book is a unique document that reflects upon the state of fundamental physics at a historically important moment in time.
