e-books in General Theory of Relativity category
Mathematical Relativityby José Natário - arXiv , 2020
These are lecture notes written for a one-semester course in mathematical relativity aimed at mathematics and physics students. Not meant as an introduction to general relativity, but rather as a complementary, more advanced text.
(993 views)
Treatise on Differential Geometry and its role in Relativity Theoryby Subenoy Chakraborty - arXiv.org , 2022
These notes will be helpful to undergraduate and postgraduate students in theoretical physics and in applied mathematics. Modern terminology in differential geometry has been discussed in the book with the motivation of geometrical way of thinking.
(3226 views)
The Mathematical Theory of Relativityby Arthur Stanley Eddington - Cambridge University Press , 1923
Sir Arthur Eddington here formulates mathematically his conception of the world of physics derived from the theory of relativity. The argument is developed in a form which throws light on the origin and significance of the great laws of physics.
(6096 views)
Light Rays, Singularities, and All Thatby Edward Witten - arXiv.org , 2019
This article is an introduction to causal properties of General Relativity. Topics include the Raychaudhuri equation, singularity theorems of Penrose and Hawking, the black hole area theorem, topological censorship, and the Gao-Wald theorem.
(4538 views)
Dynamical and Hamiltonian Formulation of General Relativityby Domenico Giulini - arXiv.org , 2015
This text introduces the reader to the reformulation of Einstein's field equations of General Relativity as a constrained evolutionary system of Hamiltonian type and discusses some of its uses, together with some technical and conceptual aspects.
(5838 views)
Metric Relativity and the Dynamical Bridge: highlights of Riemannian geometry in physicsby Mario Novello, Eduardo Bittencourt - arXiv , 2015
We present an overview of recent developments concerning modifications of the geometry of space-time to describe various physical processes of interactions among classical and quantum configurations. We concentrate in two main lines of research...
(5778 views)
Schwarzschild and Kerr Solutions of Einstein's Field Equation: an introductionby Christian Heinicke, Friedrich W. Hehl - arXiv , 2015
Starting from Newton's gravitational theory, we give a general introduction into the spherically symmetric solution of Einstein's vacuum field equation, the Schwarzschild solution, and into one specific stationary solution, the Kerr solution.
(8236 views)
The Geometry of General Relativityby Tevian Dray - Oregon State University , 2014
The manuscript emphasizes the use of differential forms, rather than tensors, which are barely mentioned. The focus is on the basic examples, namely the Schwarzschild black hole and the Friedmann-Robertson-Walker cosmological models.
(11339 views)
The Confrontation between General Relativity and Experimentby Clifford M. Will - arXiv , 2014
The status of experimental tests of general relativity and of theoretical frameworks for analyzing them are reviewed and updated. Tests of general relativity have reached high precision, including the light deflection, the Shapiro time delay, etc.
(7661 views)
A No-Nonsense Introduction to General Relativityby Sean M. Carroll , 2001
General relativity has a reputation of being extremely difficult. This introduction is a very pragmatic affair, intended to give you some immediate feel for the language of GR. It does not substitute for a deep understanding -- that takes more work.
(8897 views)
Space - Time - Matterby Hermann Weyl - Methuen & Co. , 1922
A classic of physics -- the first systematic presentation of Einstein's theory of relativity. Long one of the standard texts in the field, this excellent introduction probes deeply into Einstein's general relativity, gravitational waves and energy.
(9943 views)
Foundations of Tensor Analysis for Students of Physics and Engineering With an Introduction to the Theory of Relativityby Joseph C. Kolecki - Glenn Research Center , 2005
Tensor analysis is useful because of its great generality and compact notation. This monograph provides a conceptual foundation for students of physics and engineering who wish to pursue tensor analysis as part of their advanced studies.
(11142 views)
General Relativity Without Calculusby Jose Natario - Springer , 2012
This book was written as a guide for a one week course aimed at exceptional students in their final years of secondary education. The course was intended to provide a quick but nontrivial introduction to Einstein's general theory of relativity.
(10860 views)
Advanced General Relativityby Neil Lambert - King's College London , 2009
Contents: Introduction; Manifolds and Tensors; General Relativity (Derivation, Diffeomorphisms as Gauge Symmetries, Weak Field Limit, Tidal Forces, ...); The Schwarzchild Black Hole; More Black Holes; Non-asymptotically Flat Solutions.
(9600 views)
Spacetime Geometry and General Relativityby Neil Lambert - King's College London , 2011
This course is meant as introduction to what is widely considered to be the most beautiful and imaginative physical theory ever devised: General Relativity. It is assumed that you have a reasonable knowledge of Special Relativity as well as tensors.
(9713 views)
Mass and Angular Momentum in General Relativityby J.L. Jaramillo, E. Gourgoulhon - arXiv , 2010
We present an introduction to mass and angular momentum in General Relativity. After briefly reviewing energy-momentum for matter fields, first in the flat Minkowski case (Special Relativity) and then in curved spacetimes with or without symmetries.
(9519 views)
Recent Developments in Gravitational Collapse and Spacetime Singularitiesby Pankaj S. Joshi, Daniele Malafarina - arXiv , 2012
The research of recent years has provided considerable clarity and insight on stellar collapse, black holes and the nature and structure of spacetime singularities. In this text, the authors discuss several of these developments here.
(11045 views)
Vector Analysis and the Theory of Relativityby Francis Dominic Murnaghan - Johns Hopkins press , 1922
This monograph is the outcome of lectures delivered to the graduate department of mathematics of The Johns Hopkins University. Considerations of space have made it somewhat condensed in form, but the mode of presentation is sufficiently novel.
(15517 views)
General Covariance and the Foundations of General Relativityby John D Norton - University of Pittsburgh , 1993
This text reviews the development of Einstein's thought on general covariance (the fundamental physical principle of GTR), its relation to the foundations of general relativity and the evolution of the continuing debate over his viewpoint.
(10252 views)
General Relativity Notesby Edmund Bertschinger - MIT , 1999
Working with GR requires some understanding of differential geometry. In this text we will develop the essential mathematics needed to describe physics in curved spacetime. These notes assume familiarity with special relativity.
(12150 views)
Beyond partial differential equations: A course on linear and quasi-linear abstract hyperbolic evolution equationsby Horst R. Beyer - arXiv , 2011
This course introduces the use of semigroup methods in the solution of linear and nonlinear (quasi-linear) hyperbolic partial differential equations, with particular application to wave equations and Hermitian hyperbolic systems.
(14187 views)
Post-Newtonian Theory for the Common Readerby Eric Poisson - University of Guelph , 2007
From the table of contents: Preliminaries; Integration techniques; First post-Minkowskian approximation; Second post-Minkowskian approximation; Equations of motion; Gravitational waves; Energy radiated and radiation reaction.
(10270 views)
An Advanced Course in General Relativityby Eric Poisson - University of Guelph , 2002
These lecture notes are suitable for a one-semester course at the graduate level. Table of contents: Fundamentals; Geodesic congruences; hypersurfaces; Lagrangian and Hamiltonian formulations of general relativity; Black holes.
(12671 views)
Spacetime and Fieldsby Nikodem J. Poplawski - arXiv , 2009
A self-contained introduction to the classical theory of spacetime and fields. Topics: Spacetime (tensors, affine connection, curvature, metric, Lorentz group, spinors), Fields (principle of least action, action for gravitational field, matter, etc)
(10323 views)
Gravitational Wavesby Alessandra Buonanno - arXiv , 2007
Gravitational-wave (GW) science has entered a new era. Theoretically, the last years have been characterized by numerous major advances. These lectures are envisioned to be an introductory, basic course in gravitational-wave physics.
(11734 views)
General Relativityby Benjamin Crowell - lightandmatter.com , 2010
This is an undergraduate textbook on general relativity. It is well adapted for self-study, and answers are given in the back of the book for almost all the problems. The ratio of conceptual to mathematical problems is higher than in most books.
(12933 views)
Advanced General Relativityby Sergei Winitzki - Google Sites , 2007
Topics include: Asymptotic structure of spacetime, conformal diagrams, null surfaces, Raychaudhury equation, black holes, the holographic principle, singularity theorems, Einstein-Hilbert action, energy-momentum tensor, Noether's theorem, etc.
(12417 views)
Lecture Notes on General Relativityby Matthias Blau - Universitaet Bern , 2014
The first half of the book is dedicated to developing the machinery of tensor calculus and Riemannian geometry required to describe physics in a curved space time. We will then turn to various applications of General Relativity.
(13348 views)
Gravitational Waves, Sources, and Detectorsby Bernard F Schutz, Franco Ricci - arXiv , 2010
Notes of lectures for graduate students, covering the theory of linearized gravitational waves, their sources, and the prospects at the time for detecting gravitational waves. The lectures remain of interest for pedagogical reasons.
(9419 views)
Neutrosophic Methods in General Relativityby D. Rabounski, F. Smarandache, L. Borissova - Hexis , 2005
Neutrosophy is a theory developed by Florentin Smarandache in 1995, which studies the nature and properties of neutralities. This book applies neutrosophic method to the General Theory of Relativity, aiming to discover new effects hidden before.
(9155 views)
An Introduction to the Theory of Rotating Relativistic Starsby Eric Gourgoulhon - arXiv , 2010
These notes introduce the theory of rotating stars in general relativity. The focus is on the theoretical foundations, with a detailed discussion of the spacetime symmetries, the choice of coordinates and the derivation of the equations of structure.
(12338 views)
Partial Differential Equations of Physicsby Robert Geroch - arXiv , 1996
All partial differential equations that describe physical phenomena in space-time can be cast into a universal quasilinear, first-order form. We describe some broad features of systems of differential equations so formulated.
(16457 views)
Introduction to General Relativityby Gerard 't Hooft - Rinton Press , 2010
The book presents the general relativity as a scheme for describing the gravitational field and the equations it obeys. Starting from physical motivations, curved coordinates are introduced, and then the notion of an affine connection field is added.
(14806 views)
Introduction to the Theory of Black Holesby Gerard 't Hooft - Utrecht University , 2009
Contents: The Metric of Space and Time; Curved coordinates; A short introduction to General Relativity; Gravity; The Schwarzschild Solution; The Chandrasekhar Limit; Gravitational Collapse; The Reissner-Nordstrom Solution; Horizons; and more.
(25656 views)
Complex Geometry of Nature and General Relativityby Giampiero Esposito - arXiv , 1999
An attempt is made of giving a self-contained introduction to holomorphic ideas in general relativity, following work over the last thirty years by several authors. The main topics are complex manifolds, spinor and twistor methods, heaven spaces.
(16968 views)
Space, Time and Gravitation: An Outline of the General Relativity Theoryby Arthur Stanley Eddington - Cambridge University Press , 1920
The author gives an account of general relativity theory without introducing anything very technical in the way of mathematics, physics, or philosophy. It is hoped that the book may also appeal to those who have gone into the subject more deeply.
(13285 views)
Gravitational Waves and Black Holes: an Introduction to General Relativityby J.W. van Holten - arXiv , 1997
General relativity is outlined as the classical field theory of gravity, emphasizing physical phenomena rather than mathematical formalism. Dynamical solutions representing traveling waves and stationary fields of black holes are discussed.
(12729 views)
Introduction to relativistic astrophysics and cosmology through Mapleby V. L. Kalashnikov - arXiv , 2001
The author presents the pedagogical introduction to relativistic astrophysics and cosmology, which is based on computational and graphical resources of Maple 6. The knowledge of basics of general relativity and differential geometry is supposed.
(16740 views)
Lecture Notes on General Relativityby Sean M. Carroll - University of California , 1997
Lecture notes on introductory general relativity for beginning graduate students in physics. Topics include manifolds, Riemannian geometry, Einstein's equations, and three applications: gravitational radiation, black holes, and cosmology.
(15613 views)
Introduction to Differential Geometry and General Relativityby Stefan Waner , 2005
Smooth manifolds and scalar fields, tangent vectors, contravariant and covariant vector fields, tensor fields, Riemannian manifolds, locally Minkowskian manifolds, covariant differentiation, the Riemann curvature tensor, premises of general relativity.
(23184 views)
Semi-Riemann Geometry and General Relativityby Shlomo Sternberg , 2003
Course notes for an introduction to Riemannian geometry and its principal physical application, Einstein’s theory of general relativity. The background assumed is a good grounding in linear algebra and in advanced calculus.
(18648 views)