The Net Advance of Physics:
GENERAL RELATIVITY
GENERAL RELATIVITY:
General: Encyclopædic:
GRWiki
[Founded by David Brown, NCSU]
General: Handbooks:
Handbook of Space Astronomy and Astrophysics
(3rd edition)
by Martin V. Zombeck [Cambridge University Press, 2007] Classic reference work. The
Supplementary Web Links
section lists a large number of additional sites of interest for cosmology and relativity.
General: Definitions:
Weisstein 98/06;
General: Introductory:
Baez 96/02;
Léon 98;
Space Time Travel: Visualization of the Theory of Relativity
Educational homepage of Ute Kraus and Corvin Zahn (Universität Hildesheim)
An easy journey from Galilean to General Relativity
by Stephane Fay [2015/11]
General: Textbooks:
Modern Relativity Page;
Brown no date;
Carroll 97/12;
Siegel 99/12;
The Universe in Problems: Equations of General Relativity
by Yu. L. Bolotin and I. V. Tanatarov [Problems for students of general relativity.]
The Universe in Problems: Weak field limit
by Yu. L. Bolotin and I. V. Tanatarov [Problems for students of general relativity.]
Gravitation: From Newton to Einstein
by Pierre Fleury [2019/02] 100 pp.; 30-hour review course.
Treatise on Differential Geometry and Its Role in Relativity Theory
by Subenoy Chakraborty [2019/08] 231 pp.
Mathematical relativity
by J. Natário [2020/03] 160 pp. Advanced text.
Advanced general relativity notes
by M. Le Delliou [2022/08] 164 pp.
Relativity
by C. Arias Abad et al. [2023/01] 328 pp., covers both special and general theories.
General:
Brown (homepage);
Bicak 2000/04;
Baez 2001/03;
Alvarez-G. and Vazquez-M. 2005/05;
Malament 2005/06;
General Relativity
by V. Canuto and Itzhak Goldman [
Enciclopedia delle Scienze Fisiche 4,
784 (1994)]
General Relativity Notes
by Edmund Bertschinger [MIT] [1999]
General Relativity Today
by Thibault Damour [2006/10]
Non-Inertial Frames in Special and General Relativity
by Luca Lusanna [2009]
Catalogue of Spacetimes
by Thomas Müller and Frank Grave [2009/04]
Spacetime and fields
by Nikodem J. Poplawski [2009/11] 114 pp. Classical field theory.
Mathematical general relativity: a sampler
by Piotr T. Chruściel et al. [2010/04]
The Classical Two-Component Spinor Formalisms for General Relativity
by Jorge G. Cardoso [2010/04]
Cosmology and Gravitation: the grand scheme for High-Energy Physics
by P. Binétruy [2012/06]
Einstein's Equations, Cosmology and Astrophysics
by Paul S. Wesson [2012/08]
The Last 50 Years of General Relativity and Gravitation: From GR3 to GR20 Warsaw Conferences
by Abhay Ashtekar [2013/12]
General Relativity and Gravitation: A Centennial Perspective
by Abhay Ashtekar et al. [2014/05]
Was Einstein Right? A Centenary Assessment
by Clifford M. Will [2014/09]
The Status of the Einstein's Theory of Gravitation in Its Centennial Year
by Lorenzo Iorio [2015/04]
Dynamical and Hamiltonian formulation of General Relativity
by Domenico Giulini [2015/05]
100 Years of General Relativity
by George F. R. Ellis [2015/09]
General relativity and cosmology
by Martin Bucher and Wei-Tou Ni [2015/09]
Lectures on General Theory of Relativity
by Emil T. Akhmedov [2016/01]
General Relativity for Pedestrians -- First 6 lectures
by Patrick Das Gupta [2016/04]
How Einstein Got His Field Equations
by Sam Walters [2016/08]
Velocity, acceleration and gravity in Einstein's relativity
by Marek A. Abramowicz [2016/08]
Lecture Notes on Mathematical Methods of Classical Physics
by Vicente Cortés and Alexander S. Haupt [2016/12] 105 pp.
Lectures on gravitation
by Pietro Menotti [2017/03] 205 pp.
Open problems in mathematical physics
by Alan A. Coley [
Physics Scripta 92
, 093003 (2017)] Mostly but not exclusively in cosmology and gravitation.
Gravity and Unification: A Review [of four-dimensional theories]
by Kirill Krasnov and Roberto Peracci [2017/12]
Advanced Lectures in General Relativity
by Geoffrey Compère and Adrien Fiorucci [2018/01] 124 pp.
Basics of general theory of relativity for beginners
by S. M. Bilenky [2020/10]
Weyl geometry and cosmological particle creation
by V. A. Berezin and V. I. Dokuchaev [2022/08] Includes very succinct overview of standard general relativity.
General: ALGEBRAIC COMPUTING:
Lake 98/03;
Toussaint 2001/05;
General: ANALOGUES:
Relatively Complicated? Using Models to Teach General Relativity at Different Levels
by Markus Pössel [2017/03]
General: EXPERIMENTAL/OBSERVATIONAL:
Will 98/11;
Damour 99/04;
Bennett 2005/03;
Bertolami et al. 2006/02;
Tests of Relativistic Gravity in Space: Recent Progress and Future Directions
by Slava G. Turyshev [2007]
Experimental Tests of General Relativity
by Slava G. Turyshev [2008/06]
Tests of General Relativity on Astrophysical Scales
by Jean-Philippe Uzan [2009/09]
Equivalence Principles, Lense-Thirring Effects, and Solar-System Tests of Cosmological Models
by Wei-Tou Ni [2011/12]
The experimental status of Special and General Relativity
by Orfeu Bertolami and Jorge Páramos [2012/12]
The Confrontation between General Relativity and Experiment
by Clifford M. Will [2014/03]
Observations of General Relativity at strong and weak limits
by Gene Byrd et al. [2014/11]
Testing General Relativity with Present and Future Astrophysical Observations
by Emanuele Berti et al. [2015/01] 186 pp.
Testing General Relativity
by Angelo Tartaglia [2015/03]
Einstein ¿sigue teniendo razón?
by Nicolás Yunes [2015/10]
Sgr A* and General Relativity
by Tim Johannsen [2015/12]
Tests of General Relativity: A Review
by Estelle Asmodelle [2017/05]
Search for New Physics with Atoms and Molecules
by M. S. Safronova et al. [2017/10] 112 pp.
An Undergraduate Test of Gravitational Time Dilation
by Brian Patterson et al. [2017/10]
Precision gravity tests and the Einstein equivalence principle
by G. M. Tino et al. [2020/02]
General: EXPERIMENTAL/OBSERVATIONAL:
GRAVITATIONAL RADIATION;
General: EXPERIMENTAL/OBSERVATIONAL: Re: BLACK HOLES:
Black Hole Based Tests of General Relativity
by Kent Yagi and Leo C. Stein [
Class. Quant. Grav. 33
, 054001 (2016)]
Tests of general relativity using black-hole X-ray data
by D. Ayzenberg and C. Bambi [2021/11]
Gravitational waves: The theorist's Swiss knife
by M. Sakellariadou [2022/02]
A beginner's guide to black-hole imaging and associated tests of general relativity
by A. Lupsasca et al. [2024/02]
General: EXPERIMENTAL/OBSERVATIONAL: Re: COSMOLOGY:
Testing General Relativity in Cosmology
by Mustapha Ishak [2018/06]
General: EXPERIMENTAL/OBSERVATIONAL: Re: GALAXY CLUSTERS:
Tests of Gravity with Galaxy Clusters
by Matteo Cataneo and David Rapetti [
International Journal of Modern Physics D 27
, 1848006 (2018)]
General: EXPERIMENTAL/OBSERVATIONAL: Re: NEUTRINOS:
Leung 2000/02;
General: EXPERIMENTAL/OBSERVATIONAL: Re: PULSARS:
Damour 97/11;
Probing gravitation with pulsars
by Michael Kramer [2012/11]
Gravitational Wave Tests of General Relativity with Ground-Based Detectors and Pulsar Timing Arrays
by Nicolas Yunes and Xavier Siemens [2013/04] 119 pp.
Pulsars and Gravity
by R. N. Manchester [2015/02]
Tests of Gravitational Symmetries with Radio Pulsars
by Lijing Shao and Norbert Wex [2016/04]
General: EXPERIMENTAL/OBSERVATIONAL: Re: SOLAR SYSTEM: (see also
Pioneer Effect
):
Tests of general relativity in the solar system
by Serge Reynaud and Marc-Thierry Jaekel [2007/07]
Lunar laser ranging: the millimeter challenge by Thomas W. Murphy Jr. [
Reports on Progress in Physics 76
, 076901 (2013)]
Solar-system tests of the relativistic gravity
by Wei-Tou Ni [2016/11]
General: MATHEMATICAL:
Thirty years of studies of integrable reductions of Einstein's field equations
by G. A. Alekseev [2009/07]
The Initial-Boundary Value Problem in General Relativity
by Oscar Reula and Olivier Sarbach [2010/09]
General: ANALOGUES:
Visser 2001/11;
Surprising Connections Between General Relativity and Condensed Matter
by Gary T. Horowitz [2010/10]
The fluid/gravity correspondence
by Veronika E. Hubeny et al. [2011/07]
Survey of analogue spacetimes
by Matt Visser [2012/06]
General: CANONICAL FORMULATIONS:
Different canonical formulations of Einstein's theory of gravity
by V. A. Franke [
Teor. Mat. Fiz. 148
, 143 (2006)]
General: FIELD EQUATIONS:
Chrusciel 98/03;
Frank 2002/03;
Bicak 2006/04;
How Einstein Got His Field Equations
by Sam Walters [2016/08]
General: FIELD EQUATIONS: EXACT SOLUTIONS:
Exact solutions and their interpretation
by José M. M. Senovilla [2007/10]
Thirty years of studies of integrable reductions of Einstein's field equations
by G. A. Alekseev [2009/07]
General: FIELD EQUATIONS: EXISTENCE THEOREMS:
Rendall 98/01;
General: FIELD EQUATIONS: HYPERBOLIC METHODS:
Reula 98/01;
General: FIELD EQUATIONS: LARGE-D:
The Large-D Limit of Einstein's Equations
by R. Emparan and C. P. Herzog [2020/03]
General: INTEGRATION:
DeBenedictis 98/02;
Thirty years of studies of integrable reductions of Einstein's field equations
by G. A. Alekseev [2009/07]
General: NUMERICAL RELATIVITY:
Anninos et al. 95;
Anninos 98/01;
Winicour 98/03;
Seidel 98/06;
Seidel and Suen 99/04;
Novak 2001/02;
Lehner 2001/06;
From Geometry to Numerics: interdisciplinary aspects in mathematical and numerical relativity
by J. L. Jaramillo et al. [2006/11]
Numerical Relativity and Astrophysics
by Luis Lehner and Frans Pretorius [2014/05]
Exploring New Physics Frontiers Through Numerical Relativity
by Victor Cardoso et al. [2014/09] 154 pp.
Probing Strong Field Gravity Through Numerical Simulations
by Matthew W. Choptuik et al. [2015/02]
Numerical Methods for Finding Stationary Gravitational Solutions
by Oscar J. C. Dias et al. [2015/10] 153 pp.
Numerical Relativity Beyond Astrophysics
by David Garfinkle [2016/06]
Numerical Relativity and the Discovery of Gravitational Waves
by Robert A. Eisenstein [2018/04]
Solving the Einstein equations numerically
by D. Hilditch [2024/05]
General: NUMERICAL RELATIVITY: Re: BLACK HOLES:
Masso 94/12;
Numerical Relativity Beyond Astrophysics
by David Garfinkle [2016/06]
General: NUMERICAL RELATIVITY: Re: HYDRODYNAMICS:
Font 2000/03;
General: NUMERICAL RELATIVITY: INITIAL DATA:
Cook 2000/07;
General: POST-NEWTONIAN APPROXIMATION:
A Review on Post-Newtonian Theory
by G. Cho [2019/11]
Types:
FIVE-DIMENSIONAL;
Type: ADM:
The legacy of ADM
by Stanley Deser [2015/01]
The ADM papers and part of their modern legacy: loop quantum gravity
by Jorge Pullin [2015/05]
Type: BONDI-SACHS:
The Bondi-Sachs Formalism
by Thomas Mädler and Jeffrey Wincour [2016/09]
Type: COMPLEX:
Esposito 99/11;
Type: GEOMETRODYNAMICS:
Matter from Space
by Domenico Giulini [2008/09]
Introduction to Einstein-Maxwell equations and the Rainich conditions
by Wytler Cordeiro dos Santos [2016/06]
Geometrodynamics: The Nonlinear Dynamics of Curved Spacetime
by Mark A. Scheel and Kip S. Thorne [
Physics Uspekhi 57
, 342 (2014)]
Type: HOLOMORPHIC:
Esposito 99/11;
Type: LOWER DIMENSIONAL:
Carlip 95/03;
3D Gravity, Chern-Simons and Higher Spins: A Mini Introduction
by K. Surya Kiran et al. [2014/12]
Type: MACDOWELL-MANSOURI:
Gravity and Unification: A Review [of four-dimensional theories]
by Kirill Krasnov and Roberto Peracci [2017/12]
Type: TIME INDEPENDENT:
Beig and Schmidt 2000/05;
Aspects:
ASHTEKAR'S FORMULATION;
BLACK HOLES;
COSMOLOGICAL CONSTANT;
GRAVITATIONAL LENSING;
GRAVITOMAGNETISM;
GRAVITATIONAL RADIATION;
QUANTIZATION;
SCHWARZSCHILD SOLUTION;
SINGULARITIES;
WORM-HOLES;
Aspects: CAUSALITY:
Light Rays, Singularities, and All That
by Edward Witten [2019/01]
Aspects: CONTINUITY:
Struggles with the Continuum
by John C. Baez [2016/09]
Aspects: ENERGY:
Energy-Momentum of the Gravitational Field: Crucial Point for Gravitation Physics and Cosmology
by Yu. V. Baryshev [2008/06]
A review of total energy-momenta in GR with a positive cosmological constant
by L´szló B. Szabados and Paul Tod [2018/08]
Energy conditions in general relativity and quantum field theory
by E.-A. Kontou and K. Sanders [2020/03]
Aspects: EXOTIC SOLUTIONS:
Exotic solutions in General Relativity
by Francisco S. N. Lobo [2007/10]
Aspects: FLRW METRIC:
The Friedman--Lemaître--Robertson--Walker Metric: A Centennial Review
by R. Barnes [2022/01]
Aspects: FRAME DRAGGING:
Frame dragging: Meaning, myths, and misconceptions
by L.F.O. Costa and J. Natário [2021/09]
Aspects: NON-GEOMETRICAL INTERPRETATION:
Straumann 2000/06;
Aspects: MASS:
A Survey on Extensions of Riemannian Manifolds and the Bartnik Mass Estimate
by Armando J. Cabrera Pacheco and Carla Cederbaum [2019/04]
Aspects: PLEBANSKI FORMULATION:
Plebanski Formulation of General Relativity: A Practical Introduction
by Kirill Krasnov [2009/04]
Aspects: REGGE CALCULUS:
Introduction to Regge Calculus for Gravitation
by R. R. Cuzinatto et al. [2019/04]
Aspects: SELF-FORCE:
Motion of small objects in curved spacetimes: An introduction to gravitational self-force
by Adam Pound [2015/06]
Self-force and radiation reaction in general relativity
by Leor Barack and Adam Pound [2018/05]
Aspects: SELF-SIMILAR SOLUTIONS:
Bernardeau 98/04 (in French);
Aspects: TRAPPED SURFACE FORMULATION:
A concise introduction to trapped surface formation in general relativity
by Donato Bini and Giampiero Esposito [2017/05]
Re: ÆTHER:
Brans 98/01;
Re: ANGULAR MOMENTUM:
Mass and Angular Momentum in General Relativity
by J. L. Jaramillo and E. Gourgoulhon [2008/06]
Rotation and Spin in Physics
by R. F. O'Connell [2010/09]
Geometrical inequalities bounding angular momentum and charges in General Relativity
by Sergio Dain and María Eugenia Gabach-Clement [2017/10]
Re: CELESTIAL MECHANICS:
On the foundations of general relativistic celestial mechanics
by Emmanuele Battista et al. [2017/07]
Re: CHARGE:
Geometrical inequalities bounding angular momentum and charges in General Relativity
by Sergio Dain and María Eugenia Gabach-Clement [2017/10]
Re: CONFORMAL TRANSFORMATIONS:
Faraoni et al. 98/11;
Re: DIRAC EQUATION:
The Dirac Equation in General Relativity: A Guide for Calculations
by Peter Collas and David Klein [2018/09]
Re: EFFECTIVE FIELD THEORY:
Donoghue 97/12;
Re: MASS:
Mass and Angular Momentum in General Relativity
by J. L. Jaramillo and E. Gourgoulhon [2008/06]
Re: NEUTRON STARS:
Kluzniak 2000/12;
Re: OPTICS:
Shore 2003/04;
Re: OSCILLATIONS:
A relativistic gravity train
by Edward Parker [2017/04]
Re: ROTATION:
Ryder and Mashhoon 2001/02;
Re: SPIN:
Ryder and Mashhoon 2001/02;
Re: SYMBOLIC PROGRAMMING:
Vulcanov 2000/10;
Re: TIME ASYMMETRY:
The Nature and Origin of Time-asymmetric Spacetime Structures
by H. D. Zeh [2010/12]
THE NET ADVANCE OF PHYSICS