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]
    • Testing general relativity with gravitational waves: An overview by N. V. Krishnendu and F. Ohme [2022/01]

  • 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)]
    • Black holes in General Relativity and beyond by Enrico Barausse [2019/01]
    • 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]
    • X-ray tests of general relativity with black holes by C. Bambi [2023/05]
    • 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]

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