|  History of Relativistic Gravity | 
In General
  > s.a. general relativity / mach's principle;
  tests of general relativity; tests
  with orbiting bodies.
  * Einstein: Einstein arrived at his
    field equations for gravitation partly by a physical strategy including the Newtonian
    limit, the electromagnetic analogy, and energy conservation; He first found them
    in 1913, but he initially thought they must be wrong, because of the hole argument
    and because of some incorrect calculations on the Newtonian limit; He settled on
    the field equations, and checked that they gave the correct perihelion advance for
    Mercury, during a series of four weekly lectures to the Prussian Academy of Sciences
    in Berlin culminating in the final lecture of November 25, 2015.
  * Early work: The first few decades
    saw calculations of the simplest physical consequences, like propagation of light,
    correction to planet orbits, simple cosmologies; The formulation in terms of modern
    differential geometry came with @ Lichnerowicz 55.
  * Lie group methods: Introduced
    into cosmology by Gödel (> see gödel
    solution) and Taub (> see Taub-NUT solution).
  * 1980s: Links were developed with
    astrophysics, gauge theory, particle physics; General relativity became a more
    balanced (but also chaotic) field, and more confidence in the classical theory
    made it less necessary to look for alternatives before quantizing.
  @ General references: Mehra 74;
    Chandrasekhar AJP(79)mar;
    Torretti 83;
    Hickman IJTP(84) [and electrodynamics];
    Pyenson 85;
    Stachel in(86);
    Glick ed-87; Ray 87;
    Bergmann in(89);
    Howard & Stachel ed-89;
    Eisenstaedt & Kox ed-92;
    Earman et al 93;
    Hu HSPBS(04) [criticism in China];
    Kox & Eisenstaedt ed-05;
    Dadhich phy/05 [and the future];
    Crelinsten 06;
    Eisenstaedt 06;
    Renn 07;
    Ellis in-a1509,
    news sn(15)oct [100 years];
    Goenner GRG(17)-a1607 [remarks];
    Dadhich fs(17)-a1609;
    Debono & Smoot Univ(16)-a1609 [status and future directions];
    Ni ch(16)-a1612;
    Kiefer a1812-conf [62 years after GR0, Bern 1955];
    Bodziony a1901;
    Blum & Brill a1905-in [Wheeler's contribution];
    Petkov ed-20.
  @ After 1915: Schutz in(12)-a1203 [isolation during the 1930s-1950s and subsequent reinvigoration];
    Ashtekar GRG(14)-a1312 [advances 1962-2013];
    Wazeck 14 [1920s opposition];
    Will APS(15) [re centennial];
    Trimble a1711,
    a1807 [the impact of World War I];
    Lalli 17 [cold war, 1955-1974].
  @ Dynamics: Logunov et al PU(04)phy [field equations];
    Ostermann gq/04 [variational principle];
    Ebner phy/06 [Hilbert's derivation of the field equation];
    Choquet-Bruhat a1410 [Cauchy problem, early work];
    Deser PS(15)-a1501,
    a2103 [ADM formulation];
    Choquet-Bruhat CQG+(15) [initial-value formulation].
  @ Differing views: Coleman phy/05 [Synge on Whitehead's 1922 Principle of Relativity],
    a0704 [Whitehead's theory];
    Arciniega PT(19)jul [Einstein-Graef debate].
  @ Quantum gravity: Rüger HSPS(88) [quantum spacetime];
    Gorelik in(92);
    Rovelli gq/00-MG9;
    DeWitt GRG(09)-a0805;
    Misner GRG(09) [Wheeler];
    Gorelik PU(05)
    + webpage [Bronstein];
    Rocci JPCS(13)-a1309 [first speculations, 1916-1930];
    Pullin CQG(15)-a1505 [the ADM papers and loop quantum gravity];
    Peruzzi & Rocci EPJH(18)-a1802 [Léon Rosenfeld];
    Salisbury a1909-in [Syracuse 1949-1962];
    > s.a. history of quantum theory [field theory in curved spacetime].
  @ Conceptual:
    Renn Isis(04) [and historical epistemology];
    Lombardi in(07)-a0705 [and conception of reality].
  @ Specific topics: Halpern 04 [higher dimensions];
    Ravndal a1309 [5th dimension];
    Pitts SHPMP(16)-a1604 [Einstein, symmetries, conservation laws, and particle physics],
    a1909-proc [insights from particle physics];
    > s.a. kerr metric; singularities.
  > Online resources: see
    St-Andrews University page;
    Perimeter Institute June 2015 lecture by Jürgen Renn.
Milestones
  [@ see Will CQG(15)]
  > s.a. history of relativistic cosmology.
  * 1859: Precursor,
    Le Verrier discovers the Mercury perihelion advance anomaly.
  * 1870: Precursor,
    Clifford tried to show that matter curves space with an observation
    on light polarization.
  * 1915: Publication
    of Einstein's paper on general relativity.
  * 1919: Measurement
    of the deflection of light by the Sun
    [@ Will CQG(15)-a1409].
  * 1929: Hubble's observation of the expansion of the universe
    [@ MacCallum CQG(15)].
  * 1952: Yvonne Choquet-Brouhat's work on the initial value problem
    [@ Ringström CQG(15)].
  * 1955: The Bern conference that later became known as GR0. 
  * 1959: The Arnowitt-Deser-Misner (ADM) paper
    [@ Pullin CQG(15)].
  * 1963: The Wheeler-DeWitt equation
    [@ Rovelli CQG(15)];
    The Kerr metric [@ Teukolsky CQG(15)].
  * 1965: Discovery of the cosmic background radiation
    [@ Durrer CQG(15)];
    The singularity theorems [@ Senovilla & Garfinkle CQG(15)].
  * 1970: Joe Weber's 'announcement' of gravitational-wave detection.
  * 1973: First developments in black-hole thermodynamics.
  * 1974: Discovery of the binary pulsar by Hulse & Taylor
    [@ Damour CQG(15)].
  * 1997:
    Einstein/Hilbert paternity suit settled by paper proofs [@ Corry et al
    Sci(97)nov];
    Frame dragging observation [@ news pn(97)nov].
  * 1998: The AdS/CFT correspondence
    [@ Hubeny CQG(15)].
  * 2000: The interferometric
    gravitational wave detectors began their runs to accumulate data.
  * 2005: Numerical
    relativity breakthrough for binary black holes [@ Sperhake
    CQG(15)].
  * 2016: LIGO announces
    the first direct detections of gravitational waves; MICROSCOPE
    satellite launched; LISA Pathfinder demonstrates key technologies.
  * 2019: First
    (radio) image of a black hole, the core of M87, released.
Specific People, Places and Events
  @  Places, events: Almassi SHPMP(09) [Eddington's expedition and British acceptance];
    Gangui & Ortiz RBHC-a1203 [Argentina in the 1920s];
    Janis GRG(11) [Syracuse in the mid-1950s];
    van Besouw & van Dongen a1311-fs [reception in the Netherlands];
    Dadhich CS-a1511 [post-independence India];
    Goenner EPJH(17)-a1607 [Germany from 1915 to the 1990s];
    Robinson a1811 [King's College London 1955-1980];
    Kiefer a1812 [GR0, Bern 1955];
    ten Hagen a2002 [Belgium, 1910s and 1920s].
  @ Precursors: Galindo & Cervantes-Cota RMF-a1807 [Clifford's gravitation hypothesis];
    Anjum & Mishra a2011 [early history].
  @ Einstein: Sauer AHES(99)phy/98 [Einstein-Hilbert question];
    Sauer phy/04 [Einstein 1916];
    Todorov talk-phy/05 [Einstein & Hilbert];
    Schücking a0903 [Einstein's first principle of equivalence, 1907];
    Straumann AdP(11)-a1106 [Einstein's "Zürich notebook"];
    Weinstein a1201,
    a1201,
    a1201
      [from the 1914 Einstein-Grossmann theory to Einstein's 1916 general relativity];
    Weinstein a1202 [Einstein's 1912-1913 struggles];
    Weinstein a1202 [Einstein and Levi-Civita, 1914];
    Weinstein a1204 [Grossmann's help, 1912-1914];
    Giulini a1306-conf [Einstein's "Prague field equation"];
    Weinstein a1310 [and the conservation of energy-momentum];
    Weinstein a1310 [Einstein's 1916 derivation of the field equations];
    Betancort-Rijo & Jiménez a1410 [Einstein's first field equation];
    Weinstein a1411 [Einstein and Schwarzschild, 1915-1916];
    Weinstein a1412 [and Hilbert];
    Janssen & Renn PT(15)nov;
    Weinstein a1511
      [the two-body problem as a heuristic guide for other work];
    Smolin a1512;
    Walters a1608;
    Dieks a1801 [intuition and derivations];
    Lehmkuhl SHPMP(17)-a1803 [the problem of motion];
    Peruzzi & Rocci a1811 [Kaluza-Klein higher-dimensional models];
    Weinstein a1904 [the November tensor, 1912 to 1915];
    > s.a. equivalence principle.
  @ Other personal contributions: Deser IJMPA(04)gq/03 [Dirac];
    Brading & Ryckman SHPMP(08) [Hilbert's axiomatic approach];
    Rindler AJP(09)jun [Gödel's solution and implications];
    Sauer a1312-MG13 [Marcel Grossmann];
    Milton CJP(14)-a1312 [Julian Schwinger];
    Di Mauro et al a2102 [Feynman].
Other Theories of Gravity
  > s.a. Scalar Theory; scalar-tensor theories;
  unimodular gravity.
  @ References: Norton AHES(92) [general relativity and Nordström's scalar theory];
    Pitts a1906-in
      [cosmological constant vs massive gravitons].
Tests and Phenomenology > s.a. cosmology;
  kaluza-klein theory; pulsars.
  @ General references:
    Peebles EPJH(16)-a1603 [Robert Dicke].
  @ Gravitational waves:
    Collins HSPBS(03) [LIGO];
    Saulson GRG(11) [physical reality];
    Kennefick a1407-conf [role of the binary pulsar];
    Berti Phy(16) [background to first detection];
    Weinstein a1602 [Einstein in 1916-1918];
    Holst et al BAMS-a1607
      [historical overview of gravitational-wave science]; 
    Cervantes-Cota et al Univ(16)-a1609;
    Chen et al ChJP(17)-a1610;
    news forbes(17)mar [physical reality, Feynman and the sticky bead argument];
    Salisbury a1910
      [Trautman and Robinson, and equations of motion];
    Bonolis & León a2003-ch;
    > s.a. gravitational-wave detection.
  @ Black holes: Miller 05;
    Baumgarte AIP(06)ap,
    Carter AIP(06)gq;
    Kundt GRG(09)-a0905;
    Trimble a1411-IAU [early quest];
    blog pt(15)sep [thermodynamics and information];
    Ortega-Rodríguez et al PiP(17)-a1703 [J Robert Oppenheimer];
    Herdeiro & Lemos a1811 [genesis of the name];
    news sn(19)apr [timeline];
    Lemos et al a1911 [and gravitational waves];
    Weinstein a2102 [black hole thermodynamics];
    > s.a. schwarzschild black hole.
  @ 1919 eclipse and light deflection:
    Coles ASP-ap/01;
    Kennefick a0709-proc,
    PT(09)mar;
    Will CQG(15)-a1409;
    Crispino & Kennefick nPhys(19)-a1907;
    Lemos RBEF-a1912;
    Cervantes-Cota et al Univ-a1912;
    Lemos et al a1912;
    Crispino IJMPD-a2004,
    Crispino & Paolantonio nAstr-a2004 [the 1912 attempt];
    Gilmore & Tausch-Pebody RSNR(20)-a2010.
  @ Other phenomenology: Pfister GRG(07) [Lense-Thirring effect];
    > s.a. gravitational lensing.
 main page
  – abbreviations
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  – other sites – acknowledgements
  send feedback and suggestions to bombelli at olemiss.edu – modified 2 apr 2021