Download or read book General Relativity and Gravitation written by Abhay Ashtekar and published by Cambridge University Press. This book was released on 2015-06 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explore spectacular advances in contemporary physics with this unique celebration of the centennial of Einstein's discovery of general relativity.
Download or read book Einstein Equations Local Energy Self Force and Fields in General Relativity written by Sergio Luigi Cacciatori and published by Springer Nature. This book was released on 2023-03-15 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume guides early-career researchers through recent breakthroughs in mathematics and physics as related to general relativity. Chapters are based on courses and lectures given at the July 2019 Domoschool, International Alpine School in Mathematics and Physics, held in Domodossola, Italy, which was titled “Einstein Equations: Physical and Mathematical Aspects of General Relativity”. Structured in two parts, the first features four courses from prominent experts on topics such as local energy in general relativity, geometry and analysis in black hole spacetimes, and antimatter gravity. The second part features a variety of papers based on talks given at the summer school, including topics like: Quantum ergosphere General relativistic Poynting-Robertson effect modelling Numerical relativity Length-contraction in curved spacetime Classicality from an inhomogeneous universe Einstein Equations: Local Energy, Self-Force, and Fields in General Relativity will be a valuable resource for students and researchers in mathematics and physicists interested in exploring how their disciplines connect to general relativity.
Download or read book Solved Problems in Classical Electrodynamics and Theory of Relativity written by Daniel Radu and published by CRC Press. This book was released on 2023-11-23 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for undergraduate and graduate students in physics, engineering, astronomy, applied mathematics and for researchers working in related subjects. It is an excellent study tool for those students who would like to work independently on more electrodynamics problems in order to deepen their understanding and problem solving skills. The book discusses main concepts and techniques related to Maxwell's equations, potentials and fields (including Liénard-Wiechert potentials), electromagnetic waves, and the interaction and dynamics of charged point particles. It also includes content on magnetohydrodynamics and plasma, radiation and antennas, special relativity, relativistic kinematics, relativistic dynamics and relativistic-covariant dynamics and general theory of relativity. It contains a wide range of problems, ranging from electrostatics and magnetostatics to the study of the stability of dynamical systems, field theories and black hole orbiting. The book even contains interdisciplinary problems from the fields of electronics, elementary particle theory, antenna design. Detailed, step-by step calculations are presented, meeting the need for a thorough understanding of the reasoning and steps of the calculations by all students, regardless of their level of training. Additionally, numerical solutions are also proposed and accompanied by adjacent graphical representations and even multiple methods of solving the same problem. It is structured in a coherent and unified way, having a deep didactic character, being thus oriented towards a university environment, where the transmission of knowledge in a logical, unified and coherent way is essential. It teaches students how to think about and how to approach solving electrodynamics problems. - Contains a wide range of problems and applications from the fields of electrodynamics and the theory of special relativity. - Presents numerical solutions to problems involving nonlinearities. - Details command lines specific to Mathematica software dedicated to both analytical and numerical calculations, which allows readers to obtain the numerical solutions as well as the related graphical representations.
Download or read book Advanced Classical Mechanics written by Bijan Bagchi and published by CRC Press. This book was released on 2017-05-08 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed to serve as a textbook for postgraduates, researchers of applied mathematics, theoretical physics and students of engineering who need a good understanding of classical mechanics. In this book emphasis has been placed on the logical ordering of topics and appropriate formulation of the key mathematical equations with a view to imparting a clear idea of the basic tools of the subject and improving the problem solving skills of the students. The book provides a largely self-contained exposition to the topics with new ideas as a smooth continuation of the preceding ones. It is expected to give a systematic and comprehensive coverage of the methods of classical mechanics.
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.
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.
Download or read book 3 1 Formalism in General Relativity written by Éric Gourgoulhon and published by Springer. This book was released on 2012-02-27 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level, course-based text is devoted to the 3+1 formalism of general relativity, which also constitutes the theoretical foundations of numerical relativity. The book starts by establishing the mathematical background (differential geometry, hypersurfaces embedded in space-time, foliation of space-time by a family of space-like hypersurfaces), and then turns to the 3+1 decomposition of the Einstein equations, giving rise to the Cauchy problem with constraints, which constitutes the core of 3+1 formalism. The ADM Hamiltonian formulation of general relativity is also introduced at this stage. Finally, the decomposition of the matter and electromagnetic field equations is presented, focusing on the astrophysically relevant cases of a perfect fluid and a perfect conductor (ideal magnetohydrodynamics). The second part of the book introduces more advanced topics: the conformal transformation of the 3-metric on each hypersurface and the corresponding rewriting of the 3+1 Einstein equations, the Isenberg-Wilson-Mathews approximation to general relativity, global quantities associated with asymptotic flatness (ADM mass, linear and angular momentum) and with symmetries (Komar mass and angular momentum). In the last part, the initial data problem is studied, the choice of spacetime coordinates within the 3+1 framework is discussed and various schemes for the time integration of the 3+1 Einstein equations are reviewed. The prerequisites are those of a basic general relativity course with calculations and derivations presented in detail, making this text complete and self-contained. Numerical techniques are not covered in this book.
Download or read book Physics of Relativistic Objects in Compact Binaries from Birth to Coalescence written by Monica Colpi and published by Springer Science & Business Media. This book was released on 2009-03-28 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: A very attractive feature of the theory of general relativity is that it is a perfectexampleofa“falsi?able”theory:notunableparameterispresentinthe theory and therefore even a single experiment incompatible with a prediction of the theory would immediately lead to its inevitable rejection, at least in the physical regime of application of the aforementioned experiment. This fact provides additional scienti?c value to one of the boldest and most fascinating achievements of the human intellect ever, and motivates a wealth of e?orts in designing and implementing tests aimed at the falsi?cation of the theory. The ?rst historical test on the theory has been the de?ection of light gr- ing the solar surface (Eddington 1919): the compatibility of the theory with this ?rst experiment together with its ability to explain the magnitude of the perihelion advance of Mercury contributed strongly to boost acceptance and worldwideknowledge.However,technologicallimitations preventedphysicists from setting up more constraining tests for several decades after the formu- tion of the theory. In fact, a relevant problem with experimental general r- ativity is that the predicted deviations from the Newtonian theory of gravity areverysmallwhentheexperimentsarecarriedoutinterrestriallaboratories.
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1975 with total page 1090 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Conformal Methods in General Relativity written by Juan A. Valiente Kroon and published by Cambridge University Press. This book was released on 2016-07-21 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic and self-contained account, which adopts a geometric approach to study the solutions of Einstein's theory of gravity.
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1963-03 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Global Nonlinear Stability of the Minkowski Space PMS 41 written by Demetrios Christodoulou and published by Princeton University Press. This book was released on 2014-07-14 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this work is to provide a proof of the nonlinear gravitational stability of the Minkowski space-time. More precisely, the book offers a constructive proof of global, smooth solutions to the Einstein Vacuum Equations, which look, in the large, like the Minkowski space-time. In particular, these solutions are free of black holes and singularities. The work contains a detailed description of the sense in which these solutions are close to the Minkowski space-time, in all directions. It thus provides the mathematical framework in which we can give a rigorous derivation of the laws of gravitation proposed by Bondi. Moreover, it establishes other important conclusions concerning the nonlinear character of gravitational radiation. The authors obtain their solutions as dynamic developments of all initial data sets, which are close, in a precise manner, to the flat initial data set corresponding to the Minkowski space-time. They thus establish the global dynamic stability of the latter. Originally published in 1994. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Download or read book Sources of Gravitational Radiation written by Larry L. Smarr and published by CUP Archive. This book was released on 1979-09-27 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advanced Lectures on General Relativity written by Geoffrey Compère and published by Springer. This book was released on 2019-01-31 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes are intended for starting PhD students in theoretical physics who have a working knowledge of General Relativity. The four topics covered are: Surface charges as conserved quantities in theories of gravity; Classical and holographic features of three-dimensional Einstein gravity; Asymptotically flat spacetimes in four dimensions: BMS group and memory effects; The Kerr black hole: properties at extremality and quasi-normal mode ringing. Each topic starts with historical foundations and points to a few modern research directions.
Download or read book Einstein s Field Equations and Their Physical Implications written by Bernd G. Schmidt and published by Springer. This book was released on 2008-01-11 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves two purposes. The authors present important aspects of modern research on the mathematical structure of Einstein's field equations and they show how to extract their physical content from them by mathematically exact methods. The essays are devoted to exact solutions and to the Cauchy problem of the field equations as well as to post-Newtonian approximations that have direct physical implications. Further topics concern quantum gravity and optics in gravitational fields. The book addresses researchers in relativity and differential geometry but can also be used as additional reading material for graduate students.
Download or read book The Einstein Equations and the Large Scale Behavior of Gravitational Fields written by Piotr T. Chruściel and published by Springer Science & Business Media. This book was released on 2004 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accompanying DVD-ROM contains the electronic proceedings of the summer school on mathematical general relativity and global properties of solutions of Einstein's equations held at Cargèse, Corsica, France, July 20-Aug. 10, 2002.
Download or read book Physics Briefs written by and published by . This book was released on 1993 with total page 1334 pages. Available in PDF, EPUB and Kindle. Book excerpt: