2232:
1372:
916:
609:
168:
464:
1935:
983:
475:
1287:
1312:
210:
898:
318:
280:
923:
250:
230:
1982:
843:
2217:
2006:
1752:
1317:
41:
873:
733:
1357:
1246:
1788:
1742:
1101:
2259:
1926:
1410:
2034:
618:
in 1918. After a long history of debate on its physical correctness, observations of energy loss due to gravitational radiation in the
330:
1663:
1307:
1130:
972:
813:
670:
636:
1668:
991:
699:
868:
285:
It is useful to express the gravitational wave strain in the transverse traceless gauge, which is given by a similar formula where
1988:
1106:
1701:
1151:
961:
833:
1804:
1882:
1945:
2264:
2235:
1977:
1812:
726:
828:
823:
1799:
939:
1559:
848:
773:
2254:
1840:
1574:
1096:
1055:
999:
838:
2127:
1569:
1522:
1023:
691:
878:
858:
2157:
1783:
1464:
931:
604:{\displaystyle {\frac {dE}{dt}}=\sum _{ij}{\frac {G}{5c^{5}}}\left({\frac {d^{3}I_{ij}^{T}}{dt^{3}}}\right)^{2}}
2269:
2182:
1732:
1492:
1403:
1376:
1322:
1302:
1292:
1252:
947:
803:
719:
1911:
1833:
1327:
619:
1453:
1444:
1332:
2000:
1906:
2137:
1864:
1538:
1502:
1264:
1172:
1144:
1047:
906:
2142:
1747:
1686:
1337:
1297:
1137:
1086:
1081:
1007:
818:
798:
788:
2047:
1973:
1817:
1419:
1216:
1165:
1158:
1111:
783:
756:
176:
212:
is the spatial part of the trace reversed perturbation of the metric, i.e. the gravitational wave.
2122:
2117:
2112:
2107:
1939:
1888:
1706:
1691:
1517:
1448:
1396:
631:
2011:
641:
2187:
2087:
1869:
1850:
1844:
1795:
1737:
1646:
1564:
1482:
1459:
1427:
1179:
1063:
883:
766:
761:
28:
20:
1039:
288:
2197:
2067:
2029:
2021:
1622:
1579:
1270:
695:
666:
321:
32:
2162:
2102:
2092:
2039:
2016:
1594:
1228:
1210:
888:
255:
2177:
2152:
2077:
2072:
1955:
1916:
1878:
1822:
1696:
1632:
1258:
1240:
1190:
955:
863:
808:
778:
742:
615:
1960:
1198:
2202:
1874:
1858:
1854:
1757:
1727:
1584:
1487:
1015:
793:
235:
215:
2248:
2192:
2172:
2167:
2082:
1950:
1778:
1722:
1554:
1507:
1234:
1204:
1091:
622:
discovered in 1974 confirmed the result, with agreement up to 0.2 percent (by 2005).
2212:
2132:
2097:
1627:
1589:
1342:
1222:
163:{\displaystyle {\bar {h}}_{ij}(t,r)={\frac {2G}{c^{4}r}}{\ddot {I}}_{ij}(t-r/c),}
1996:
1965:
1512:
1347:
1031:
853:
2207:
1773:
1617:
1612:
1352:
1604:
2147:
1497:
31:
are emitted from a system of masses based on the change of the (mass)
1827:
469:
The total energy (luminosity) carried away by gravitational waves is
711:
459:{\displaystyle {I}_{ij}^{T}=\int \rho (\mathbf {x} )\leftd^{3}r,}
1808:
1392:
715:
1388:
984:
Die
Grundlagen der Einsteinschen RelativitÀts-Theorie
478:
333:
291:
258:
238:
218:
179:
44:
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1925:
1897:
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1715:
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1656:
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1280:
1189:
1120:
1074:
971:
897:
749:
603:
458:
312:
274:
244:
224:
204:
162:
917:Investigations on the Theory of Brownian Movement
688:Gravity:Newtonian, Post-Newtonian, Relativistic
686:Poisson, Eric; Will, Clifford M. (2014-05-29).
924:Relativity: The Special and the General Theory
1404:
727:
8:
665:. Pearson/Addison Wesley. pp. 300â307.
1653:
1434:
1411:
1397:
1389:
734:
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712:
595:
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559:
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146:
125:
114:
113:
100:
85:
58:
47:
46:
43:
1358:Emergency Committee of Atomic Scientists
653:
1102:Albert Einstein World Award of Science
7:
1983:TolmanâOppenheimerâVolkoff equation
1936:FriedmannâLemaĂźtreâRobertsonâWalker
1131:Albert Einstein: Creator and Rebel
844:EinsteinâInfeldâHoffmann equations
814:Einstein relation (kinetic theory)
614:The formula was first obtained by
320:is the traceless part of the mass
252:the speed of light in vacuum, and
14:
1753:HamiltonâJacobiâEinstein equation
992:The Einstein Theory of Relativity
2231:
2230:
1371:
1370:
1107:Einstein Prize for Laser Science
367:
1152:Einstein: His Life and Universe
637:Birkhoff's theorem (relativity)
282:is the mass quadrupole moment.
232:is the gravitational constant,
205:{\displaystyle {\bar {h}}_{ij}}
1560:Massâenergy equivalence (E=mc)
774:Massâenergy equivalence (E=mc)
371:
363:
187:
154:
134:
79:
67:
52:
1:
16:Formula in general relativity
2260:Gravitational-wave astronomy
27:describes the rate at which
1575:Relativistic Doppler effect
1097:Albert Einstein Peace Prize
874:Unsuccessful investigations
2286:
2046:In computational physics:
1570:Relativity of simultaneity
1024:Picasso at the Lapin Agile
962:RussellâEinstein Manifesto
834:BoseâEinstein correlations
692:Cambridge University Press
313:{\displaystyle I_{ij}^{T}}
2228:
1883:LenseâThirring precession
1465:Doubly special relativity
1366:
932:The Meaning of Relativity
661:Carroll, Sean M. (2004).
1743:Post-Newtonian formalism
1733:Einstein field equations
1669:Mathematical formulation
1493:Hyperbolic orthogonality
1323:Albert Einstein Archives
1253:Bernhard Caesar Einstein
1000:Relics: Einstein's Brain
948:The Evolution of Physics
829:BoseâEinstein statistics
824:BoseâEinstein condensate
804:Einstein field equations
1454:Galilean transformation
1445:Principle of relativity
1333:Einstein Papers Project
849:Einsteinâde Haas effect
1539:Lorentz transformation
1265:Thomas Martin Einstein
1173:Introducing Relativity
1145:Einstein for Beginners
1048:Einstein and Eddington
839:EinsteinâCartan theory
663:Spacetime and Geometry
605:
460:
314:
276:
275:{\displaystyle I_{ij}}
246:
226:
206:
164:
2007:WeylâLewisâPapapetrou
1748:Raychaudhuri equation
1687:Equivalence principle
1338:Einstein refrigerator
1328:Einstein's Blackboard
1207:(second wife; cousin)
1138:Einstein and Religion
1087:Albert Einstein Medal
1082:Albert Einstein Award
940:The World as I See It
879:Waveâparticle duality
859:BohrâEinstein debates
819:Cosmological constant
799:Equivalence principle
789:Einstein coefficients
606:
461:
315:
277:
247:
227:
207:
165:
2265:Equations of physics
2048:Numerical relativity
1889:pulsar timing arrays
1217:Hans Albert Einstein
1166:I Am Albert Einstein
1112:Einstein Prize (APS)
784:Photoelectric effect
757:Theory of relativity
694:. pp. 550â563.
476:
331:
289:
256:
236:
216:
177:
42:
35:. The formula reads
1940:Friedmann equations
1834:HulseâTaylor binary
1796:Gravitational waves
1692:Riemannian geometry
1518:Proper acceleration
1503:Maxwell's equations
1449:Galilean relativity
869:Thought experiments
632:Multipole radiation
620:HulseâTaylor binary
572:
353:
309:
29:gravitational waves
2255:General relativity
1989:ReissnerâNordström
1907:BransâDicke theory
1738:Linearized gravity
1565:Length contraction
1483:Frame of reference
1460:Special relativity
1318:Things named after
1180:Subtle is the Lord
1003:(1994 documentary)
995:(1923 documentary)
987:(1922 documentary)
884:Gravitational wave
767:General relativity
762:Special relativity
601:
555:
514:
456:
334:
310:
292:
272:
242:
222:
202:
160:
25:quadrupole formula
21:general relativity
2242:
2241:
2056:
2055:
2035:OzsvĂĄthâSchĂŒcking
1641:
1640:
1623:Minkowski diagram
1580:Thomas precession
1523:Relativistic mass
1386:
1385:
1288:Awards and honors
1271:Siegbert Einstein
1159:Einstein's Cosmos
589:
535:
502:
497:
410:
322:quadrupole moment
245:{\displaystyle c}
225:{\displaystyle G}
190:
122:
110:
55:
33:quadrupole moment
2277:
2234:
2233:
2017:van Stockum dust
1789:Two-body problem
1707:Mach's principle
1654:
1595:Terrell rotation
1435:
1413:
1406:
1399:
1390:
1374:
1373:
1273:(distant cousin)
1267:(great-grandson)
1229:Hermann Einstein
1211:Lieserl Einstein
889:Tea leaf paradox
736:
729:
722:
713:
706:
705:
683:
677:
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658:
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115:
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109:
105:
104:
94:
86:
66:
65:
57:
56:
48:
2285:
2284:
2280:
2279:
2278:
2276:
2275:
2274:
2270:Albert Einstein
2245:
2244:
2243:
2238:
2224:
2052:
1956:BKL singularity
1946:LemaĂźtreâTolman
1921:
1917:Quantum gravity
1899:
1893:
1879:geodetic effect
1853:(together with
1823:LISA Pathfinder
1762:
1711:
1697:Penrose diagram
1679:
1673:
1648:
1637:
1633:Minkowski space
1599:
1543:
1527:
1475:
1469:
1429:
1422:
1417:
1387:
1382:
1362:
1313:Religious views
1308:Political views
1276:
1261:(granddaughter)
1259:Evelyn Einstein
1247:Robert Einstein
1241:Eduard Einstein
1185:
1122:
1116:
1070:
1040:Einstein's Gift
974:
967:
908:Annus mirabilis
893:
864:Teleparallelism
809:Einstein radius
779:Brownian motion
745:
743:Albert Einstein
740:
710:
709:
702:
685:
684:
680:
673:
660:
659:
655:
650:
628:
616:Albert Einstein
578:
574:
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5:
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2200:
2195:
2190:
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2150:
2145:
2143:Choquet-Bruhat
2140:
2135:
2130:
2125:
2120:
2115:
2110:
2105:
2100:
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2051:
2050:
2043:
2042:
2037:
2032:
2025:
2024:
2019:
2014:
2009:
2004:
1995:Axisymmetric:
1992:
1991:
1986:
1980:
1969:
1968:
1963:
1958:
1953:
1948:
1943:
1934:Cosmological:
1931:
1929:
1923:
1922:
1920:
1919:
1914:
1909:
1903:
1901:
1895:
1894:
1892:
1891:
1886:
1875:frame-dragging
1872:
1867:
1862:
1859:Einstein rings
1855:Einstein cross
1848:
1837:
1836:
1831:
1825:
1820:
1815:
1802:
1792:
1791:
1786:
1781:
1776:
1770:
1768:
1764:
1763:
1761:
1760:
1758:Ernst equation
1755:
1750:
1745:
1740:
1735:
1730:
1728:BSSN formalism
1725:
1719:
1717:
1713:
1712:
1710:
1709:
1704:
1699:
1694:
1689:
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1625:
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1615:
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1601:
1600:
1598:
1597:
1592:
1587:
1585:Ladder paradox
1582:
1577:
1572:
1567:
1562:
1557:
1551:
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1544:
1542:
1541:
1535:
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1529:
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1526:
1525:
1520:
1515:
1510:
1505:
1500:
1495:
1490:
1488:Speed of light
1485:
1479:
1477:
1471:
1470:
1468:
1467:
1462:
1457:
1451:
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1094:
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1084:
1078:
1076:
1072:
1071:
1069:
1068:
1060:
1052:
1051:(2008 TV film)
1044:
1036:
1028:
1020:
1016:Young Einstein
1012:
1008:Insignificance
1004:
996:
988:
979:
977:
969:
968:
966:
965:
959:
956:Why Socialism?
952:
944:
936:
928:
920:
913:
903:
901:
895:
894:
892:
891:
886:
881:
876:
871:
866:
861:
856:
851:
846:
841:
836:
831:
826:
821:
816:
811:
806:
801:
796:
794:Einstein solid
791:
786:
781:
776:
771:
770:
769:
764:
753:
751:
747:
746:
741:
739:
738:
731:
724:
716:
708:
707:
700:
678:
672:978-0805387322
671:
652:
651:
649:
646:
645:
644:
642:PSR J0737â3039
639:
634:
627:
624:
612:
611:
598:
593:
585:
581:
577:
570:
565:
562:
558:
552:
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541:
531:
527:
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519:
512:
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501:
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492:
487:
484:
467:
466:
455:
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409:
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401:
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51:
15:
13:
10:
9:
6:
4:
3:
2:
2282:
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2266:
2263:
2261:
2258:
2256:
2253:
2252:
2250:
2237:
2227:
2221:
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2216:
2214:
2211:
2209:
2206:
2204:
2201:
2199:
2196:
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2189:
2186:
2184:
2181:
2179:
2176:
2174:
2171:
2169:
2166:
2164:
2161:
2159:
2156:
2154:
2151:
2149:
2146:
2144:
2141:
2139:
2136:
2134:
2131:
2129:
2128:Chandrasekhar
2126:
2124:
2121:
2119:
2116:
2114:
2111:
2109:
2106:
2104:
2101:
2099:
2096:
2094:
2091:
2089:
2088:Schwarzschild
2086:
2084:
2081:
2079:
2076:
2074:
2071:
2069:
2066:
2065:
2063:
2059:
2049:
2045:
2044:
2041:
2038:
2036:
2033:
2031:
2027:
2026:
2023:
2020:
2018:
2015:
2013:
2010:
2008:
2005:
2002:
1998:
1994:
1993:
1990:
1987:
1984:
1981:
1979:
1975:
1974:Schwarzschild
1971:
1970:
1967:
1964:
1962:
1959:
1957:
1954:
1952:
1949:
1947:
1944:
1941:
1937:
1933:
1932:
1930:
1928:
1924:
1918:
1915:
1913:
1910:
1908:
1905:
1904:
1902:
1896:
1890:
1887:
1884:
1880:
1876:
1873:
1871:
1870:Shapiro delay
1868:
1866:
1863:
1860:
1856:
1852:
1849:
1846:
1842:
1839:
1838:
1835:
1832:
1829:
1826:
1824:
1821:
1819:
1816:
1814:
1813:collaboration
1810:
1806:
1803:
1801:
1797:
1794:
1793:
1790:
1787:
1785:
1782:
1780:
1779:Event horizon
1777:
1775:
1772:
1771:
1769:
1765:
1759:
1756:
1754:
1751:
1749:
1746:
1744:
1741:
1739:
1736:
1734:
1731:
1729:
1726:
1724:
1723:ADM formalism
1721:
1720:
1718:
1714:
1708:
1705:
1703:
1700:
1698:
1695:
1693:
1690:
1688:
1685:
1684:
1682:
1676:
1670:
1667:
1665:
1662:
1661:
1659:
1655:
1652:
1650:
1644:
1634:
1631:
1629:
1628:Biquaternions
1626:
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1912:KaluzaâKlein
1664:Introduction
1590:Twin paradox
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1343:Einsteinhaus
1223:Pauline Koch
1201:(first wife)
1199:Mileva MariÄ
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18:
2001:KerrâNewman
1972:Spherical:
1841:Other tests
1784:Singularity
1716:Formulation
1678:Fundamental
1532:Formulation
1513:Proper time
1474:Fundamental
1348:Einsteinium
1121:Books about
1067:(2023 film)
1064:Oppenheimer
1043:(2003 play)
1035:(1994 film)
1027:(1993 play)
1019:(1988 film)
1011:(1985 film)
854:EPR paradox
2249:Categories
2153:Zel'dovich
2061:Scientists
2040:Alcubierre
1847:of Mercury
1845:precession
1774:Black hole
1657:Background
1649:relativity
1618:World line
1613:Light cone
1438:Background
1430:relativity
1420:Relativity
1353:Max Talmey
1255:(grandson)
1213:(daughter)
973:In popular
648:References
2123:Robertson
2108:Friedmann
2103:Eddington
2093:de Sitter
1927:Solutions
1805:detectors
1800:astronomy
1767:Phenomena
1702:Geodesics
1605:Spacetime
1548:Phenomena
504:∑
424:δ
400:−
361:ρ
358:∫
188:¯
141:−
120:¨
53:¯
2236:Category
2113:LemaĂźtre
2078:Einstein
2068:Poincaré
2028:Others:
2012:TaubâNUT
1978:interior
1900:theories
1898:Advanced
1865:redshift
1680:concepts
1498:Rapidity
1476:concepts
1377:Category
1303:Memorial
1249:(cousin)
1237:(sister)
1231:(father)
1225:(mother)
1123:Einstein
958:" (1949)
919:" (1905)
626:See also
2178:Hawking
2173:Penrose
2158:Novikov
2138:Wheeler
2083:Hilbert
2073:Lorentz
2030:pp-wave
1851:lensing
1647:General
1428:Special
1281:Related
975:culture
750:Physics
2219:others
2208:Thorne
2198:Misner
2183:Taylor
2168:Geroch
2163:Ehlers
2133:Zwicky
1951:Kasner
1191:Family
1075:Prizes
1056:Genius
964:(1955)
951:(1938)
943:(1934)
935:(1922)
927:(1916)
912:(1905)
910:papers
698:
669:
173:where
23:, the
2213:Weiss
2193:Bondi
2188:Hulse
2118:Milne
2022:discs
1966:Milne
1961:Gödel
1818:Virgo
1298:House
1293:Brain
1243:(son)
1219:(son)
899:Works
2148:Kerr
2098:Weyl
1997:Kerr
1857:and
1811:and
1809:LIGO
1032:I.Q.
696:ISBN
667:ISBN
2203:Yau
1828:GEO
19:In
2251::
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