Knowledge (XXG)

Taub–NUT space

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for spinning black holes in 1963, he ended up with a four-parameter solution, one of which was the mass and another the angular momentum of the central body. One of the two other parameters was the NUT-parameter, which he threw out of his solution because he found it to be nonphysical since it caused
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the metric to be not asymptotically flat, while other sources interpret it either as a gravomagnetic monopole parameter of the central mass, or a twisting property of the surrounding spacetime.
2079: 483: 1313: 756: 135: 2455: 340: 2126: 2361: 2150: 1896: 693: 503: 345: 458: 2436: 749: 1932: 1886: 371: 205: 711: 2070: 843: 410: 48: 1554: 742: 2178: 1807: 122: 1812: 148: 2132: 1420: 428: 1121: 1105:{\displaystyle g=-dt^{2}/U(t)+4l^{2}U(t)(d\psi +\cos \theta d\phi )^{2}+(t^{2}+l^{2})(d\theta ^{2}+(\sin \theta )^{2}d\phi ^{2})} 41: 1845: 1443: 335: 1948: 2026: 2089: 468: 2429: 2379: 2121: 1956: 422: 130: 488: 1943: 1703: 1984: 1718: 729: 220: 140: 850:. It may be considered a first attempt in finding the metric of a spinning black hole. It is sometimes also used in 2271: 1713: 1666: 633: 181: 433: 2460: 2301: 1927: 1608: 1233: 245: 508: 2422: 2326: 1876: 1636: 1547: 668: 658: 325: 2055: 1977: 387: 1597: 1588: 847: 653: 2144: 2050: 453: 2281: 2008: 1682: 1646: 623: 608: 215: 2286: 1891: 1830: 1489: 851: 598: 166: 1441:
Newman, E.; Tamburino, L.; Unti, T. (1963), "Empty-space generalization of the Schwarzschild metric",
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Taub, A. H. (1951), "Empty space-times admitting a three parameter group of motions",
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Taub's solution is an empty space solution of Einstein's equations with topology
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A simplified 1+1-dimensional version of the Taub–NUT spacetime is the
1971: 1502: 1371:(Lecture at the University of Canterbury, 25. May 2016). Timecode: 1952: 880:, Louis A. Tamburino, and Theodore W. J. Unti ( 1536: 834: 1532: 825: 782: 1209:{\displaystyle U(t)={\frac {2mt+l^{2}-t^{2}}{t^{2}+l^{2}}}} 813: 822: 793: 2410: 1236: 1124: 908: 816: 810: 790: 51: 831: 796: 785: 779: 2204: 2069: 2041: 1910: 1859: 1821: 1800: 1789: 1747: 1691: 1675: 1617: 1581: 1570: 881: 828: 1307: 1208: 1104: 107: 884:), whose initials form the "NUT" of "Taub–NUT". 1230:Taub's metric has coordinate singularities at 2430: 1548: 750: 8: 1421:On the physical meaning of the NUT parameter 1308:{\displaystyle U=0,t=m+(m^{2}+l^{2})^{1/2}} 819: 2437: 2423: 1797: 1578: 1555: 1541: 1533: 1401:Mohammad Nouri-Zonoz, Donald Lynden-Bell: 757: 743: 309: 199: 29: 1295: 1291: 1281: 1268: 1235: 1197: 1184: 1172: 1159: 1140: 1123: 1093: 1080: 1055: 1036: 1023: 1007: 958: 931: 925: 907: 96: 87: 75: 56: 50: 876:), and extended to a larger manifold by 1343: 868:The underlying Taub space was found by 379: 353: 312: 258: 32: 27:Exact solution to Einstein's equations 2456:Exact solutions in general relativity 7: 2391: 2389: 873: 2127:Tolman–Oppenheimer–Volkoff equation 2080:Friedmann–Lemaître–Robertson–Walker 1354:Science & Technology Dictionary 2409:. You can help Knowledge (XXG) by 1404:Gravomagnetic Lensing by NUT Space 68: 25: 1897:Hamilton–Jacobi–Einstein equation 2393: 2375: 2374: 1418:A. Al-Badawi, Mustafa Halilsoy: 806: 775: 724: 723: 710: 40: 1444:Journal of Mathematical Physics 861:formulated in the framework of 1704:Mass–energy equivalence (E=mc) 1288: 1261: 1134: 1128: 1099: 1077: 1064: 1045: 1042: 1016: 1004: 976: 973: 967: 945: 939: 1: 895:and metric (or equivalently 1719:Relativistic Doppler effect 221:Gravitational time dilation 2477: 2388: 2190:In computational physics: 1714:Relativity of simultaneity 341:Mathisson–Papapetrou–Dixon 182:Pseudo-Riemannian manifold 2372: 2027:Lense–Thirring precession 1609:Doubly special relativity 1887:Post-Newtonian formalism 1877:Einstein field equations 1813:Mathematical formulation 1637:Hyperbolic orthogonality 1227:are positive constants. 346:Hamilton–Jacobi–Einstein 326:Einstein field equations 149:Mathematical formulation 1598:Galilean transformation 1589:Principle of relativity 870:Abraham Haskel Taub 2405:-related article is a 1683:Lorentz transformation 1309: 1210: 1106: 216:Gravitational redshift 109: 2151:Weyl−Lewis−Papapetrou 1892:Raychaudhuri equation 1831:Equivalence principle 1490:Annals of Mathematics 1310: 1211: 1107: 504:Weyl−Lewis−Papapetrou 459:Kerr–Newman–de Sitter 279:Einstein–Rosen bridge 211:Gravitational lensing 167:Equivalence principle 110: 2192:Numerical relativity 2033:pulsar timing arrays 1368:Spinning Black Holes 1234: 1122: 906: 848:Einstein's equations 434:Einstein–Rosen waves 160:Fundamental concepts 49: 2084:Friedmann equations 1978:Hulse–Taylor binary 1940:Gravitational waves 1836:Riemannian geometry 1662:Proper acceleration 1647:Maxwell's equations 1593:Galilean relativity 1457:1963JMP.....4..915N 1408:arXiv:gr-qc/9812094 859:cosmological models 388:Kaluza–Klein theory 274:Minkowski spacetime 226:Gravitational waves 2133:Reissner–Nordström 2051:Brans–Dicke theory 1882:Linearized gravity 1709:Length contraction 1627:Frame of reference 1604:Special relativity 1356:: "Taub NUT space" 1305: 1206: 1102: 878:Ezra T. Newman 863:general relativity 717:Physics portal 489:Oppenheimer–Snyder 429:Reissner–Nordström 321:Linearized gravity 269:Spacetime diagrams 172:Special relativity 105: 34:General relativity 2418: 2417: 2386: 2385: 2200: 2199: 2179:Ozsváth–Schücking 1785: 1784: 1767:Minkowski diagram 1724:Thomas precession 1667:Relativistic mass 1493:, Second Series, 1465:10.1063/1.1704018 1204: 767: 766: 400: 399: 286: 285: 16:(Redirected from 2468: 2461:Relativity stubs 2439: 2432: 2425: 2397: 2390: 2378: 2377: 2161:van Stockum dust 1933:Two-body problem 1851:Mach's principle 1798: 1739:Terrell rotation 1579: 1557: 1550: 1543: 1534: 1529: 1483: 1428: 1416: 1410: 1399: 1393: 1381: 1375: 1363: 1357: 1348: 1332:Misner spacetime 1314: 1312: 1311: 1306: 1304: 1303: 1299: 1286: 1285: 1273: 1272: 1215: 1213: 1212: 1207: 1205: 1203: 1202: 1201: 1189: 1188: 1178: 1177: 1176: 1164: 1163: 1141: 1111: 1109: 1108: 1103: 1098: 1097: 1085: 1084: 1060: 1059: 1041: 1040: 1028: 1027: 1012: 1011: 963: 962: 935: 930: 929: 841: 840: 837: 836: 833: 830: 827: 824: 821: 818: 815: 812: 803: 802: 799: 798: 795: 792: 788: 787: 784: 781: 759: 752: 745: 732: 727: 726: 719: 715: 714: 499:van Stockum dust 484:Robertson–Walker 310: 200: 114: 112: 111: 106: 104: 103: 91: 83: 82: 64: 63: 44: 30: 21: 2476: 2475: 2471: 2470: 2469: 2467: 2466: 2465: 2446: 2445: 2444: 2443: 2387: 2382: 2368: 2196: 2100:BKL singularity 2090:Lemaître–Tolman 2065: 2061:Quantum gravity 2043: 2037: 2023:geodetic effect 1997:(together with 1967:LISA Pathfinder 1906: 1855: 1841:Penrose diagram 1823: 1817: 1792: 1781: 1777:Minkowski space 1743: 1687: 1671: 1619: 1613: 1573: 1566: 1561: 1503:10.2307/1969567 1486: 1440: 1437: 1432: 1431: 1417: 1413: 1400: 1396: 1386:Kerr Conference 1382: 1378: 1364: 1360: 1349: 1345: 1340: 1287: 1277: 1264: 1232: 1231: 1193: 1180: 1179: 1168: 1155: 1142: 1120: 1119: 1089: 1076: 1051: 1032: 1019: 1003: 954: 921: 904: 903: 809: 805: 789: 778: 774: 771:Taub–NUT metric 763: 722: 709: 708: 701: 700: 524: 523: 514: 513: 469:Lemaître–Tolman 414: 413: 402: 401: 393:Quantum gravity 380:Advanced theory 307: 306: 305: 288: 287: 236:Geodetic effect 197: 196: 187: 186: 162: 161: 145: 115: 92: 71: 52: 47: 46: 28: 23: 22: 18:Taub–NUT vacuum 15: 12: 11: 5: 2474: 2472: 2464: 2463: 2458: 2448: 2447: 2442: 2441: 2434: 2427: 2419: 2416: 2415: 2398: 2384: 2383: 2373: 2370: 2369: 2367: 2366: 2359: 2354: 2349: 2344: 2339: 2334: 2329: 2324: 2319: 2314: 2309: 2304: 2299: 2294: 2289: 2287:Choquet-Bruhat 2284: 2279: 2274: 2269: 2264: 2259: 2254: 2249: 2244: 2239: 2234: 2229: 2224: 2219: 2214: 2208: 2206: 2202: 2201: 2198: 2197: 2195: 2194: 2187: 2186: 2181: 2176: 2169: 2168: 2163: 2158: 2153: 2148: 2139:Axisymmetric: 2136: 2135: 2130: 2124: 2113: 2112: 2107: 2102: 2097: 2092: 2087: 2078:Cosmological: 2075: 2073: 2067: 2066: 2064: 2063: 2058: 2053: 2047: 2045: 2039: 2038: 2036: 2035: 2030: 2019:frame-dragging 2016: 2011: 2006: 2003:Einstein rings 1999:Einstein cross 1992: 1981: 1980: 1975: 1969: 1964: 1959: 1946: 1936: 1935: 1930: 1925: 1920: 1914: 1912: 1908: 1907: 1905: 1904: 1902:Ernst equation 1899: 1894: 1889: 1884: 1879: 1874: 1872:BSSN formalism 1869: 1863: 1861: 1857: 1856: 1854: 1853: 1848: 1843: 1838: 1833: 1827: 1825: 1819: 1818: 1816: 1815: 1810: 1804: 1802: 1795: 1787: 1786: 1783: 1782: 1780: 1779: 1774: 1769: 1764: 1759: 1753: 1751: 1745: 1744: 1742: 1741: 1736: 1731: 1729:Ladder paradox 1726: 1721: 1716: 1711: 1706: 1701: 1695: 1693: 1689: 1688: 1686: 1685: 1679: 1677: 1673: 1672: 1670: 1669: 1664: 1659: 1654: 1649: 1644: 1639: 1634: 1632:Speed of light 1629: 1623: 1621: 1615: 1614: 1612: 1611: 1606: 1601: 1595: 1585: 1583: 1576: 1568: 1567: 1562: 1560: 1559: 1552: 1545: 1537: 1531: 1530: 1497:(3): 472–490, 1484: 1451:(7): 915–923, 1436: 1433: 1430: 1429: 1411: 1394: 1376: 1358: 1342: 1341: 1339: 1336: 1322:developed the 1302: 1298: 1294: 1290: 1284: 1280: 1276: 1271: 1267: 1263: 1260: 1257: 1254: 1251: 1248: 1245: 1242: 1239: 1217: 1216: 1200: 1196: 1192: 1187: 1183: 1175: 1171: 1167: 1162: 1158: 1154: 1151: 1148: 1145: 1139: 1136: 1133: 1130: 1127: 1113: 1112: 1101: 1096: 1092: 1088: 1083: 1079: 1075: 1072: 1069: 1066: 1063: 1058: 1054: 1050: 1047: 1044: 1039: 1035: 1031: 1026: 1022: 1018: 1015: 1010: 1006: 1002: 999: 996: 993: 990: 987: 984: 981: 978: 975: 972: 969: 966: 961: 957: 953: 950: 947: 944: 941: 938: 934: 928: 924: 920: 917: 914: 911: 844:exact solution 765: 764: 762: 761: 754: 747: 739: 736: 735: 734: 733: 720: 703: 702: 699: 698: 691: 686: 681: 676: 671: 666: 661: 656: 651: 646: 641: 636: 631: 626: 621: 616: 611: 606: 601: 596: 591: 586: 581: 576: 571: 566: 561: 556: 551: 546: 541: 536: 531: 525: 521: 520: 519: 516: 515: 512: 511: 506: 501: 496: 491: 486: 481: 476: 471: 466: 461: 456: 451: 446: 441: 436: 431: 426: 415: 409: 408: 407: 404: 403: 398: 397: 396: 395: 390: 382: 381: 377: 376: 375: 374: 372:Post-Newtonian 369: 364: 356: 355: 351: 350: 349: 348: 343: 338: 333: 328: 323: 315: 314: 308: 304: 303: 300: 296: 295: 294: 293: 290: 289: 284: 283: 282: 281: 276: 271: 263: 262: 256: 255: 254: 253: 248: 243: 238: 233: 231:Frame-dragging 228: 223: 218: 213: 208: 206:Kepler problem 198: 194: 193: 192: 189: 188: 185: 184: 179: 174: 169: 163: 159: 158: 157: 154: 153: 152: 151: 146: 144: 143: 138: 133: 127: 125: 117: 116: 102: 99: 95: 90: 86: 81: 78: 74: 70: 67: 62: 59: 55: 45: 37: 36: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 2473: 2462: 2459: 2457: 2454: 2453: 2451: 2440: 2435: 2433: 2428: 2426: 2421: 2420: 2414: 2412: 2408: 2404: 2399: 2396: 2392: 2381: 2371: 2365: 2364: 2360: 2358: 2355: 2353: 2350: 2348: 2345: 2343: 2340: 2338: 2335: 2333: 2330: 2328: 2325: 2323: 2320: 2318: 2315: 2313: 2310: 2308: 2305: 2303: 2300: 2298: 2295: 2293: 2290: 2288: 2285: 2283: 2280: 2278: 2275: 2273: 2272:Chandrasekhar 2270: 2268: 2265: 2263: 2260: 2258: 2255: 2253: 2250: 2248: 2245: 2243: 2240: 2238: 2235: 2233: 2232:Schwarzschild 2230: 2228: 2225: 2223: 2220: 2218: 2215: 2213: 2210: 2209: 2207: 2203: 2193: 2189: 2188: 2185: 2182: 2180: 2177: 2175: 2171: 2170: 2167: 2164: 2162: 2159: 2157: 2154: 2152: 2149: 2146: 2142: 2138: 2137: 2134: 2131: 2128: 2125: 2123: 2119: 2118:Schwarzschild 2115: 2114: 2111: 2108: 2106: 2103: 2101: 2098: 2096: 2093: 2091: 2088: 2085: 2081: 2077: 2076: 2074: 2072: 2068: 2062: 2059: 2057: 2054: 2052: 2049: 2048: 2046: 2040: 2034: 2031: 2028: 2024: 2020: 2017: 2015: 2014:Shapiro delay 2012: 2010: 2007: 2004: 2000: 1996: 1993: 1990: 1986: 1983: 1982: 1979: 1976: 1973: 1970: 1968: 1965: 1963: 1960: 1958: 1957:collaboration 1954: 1950: 1947: 1945: 1941: 1938: 1937: 1934: 1931: 1929: 1926: 1924: 1923:Event horizon 1921: 1919: 1916: 1915: 1913: 1909: 1903: 1900: 1898: 1895: 1893: 1890: 1888: 1885: 1883: 1880: 1878: 1875: 1873: 1870: 1868: 1867:ADM formalism 1865: 1864: 1862: 1858: 1852: 1849: 1847: 1844: 1842: 1839: 1837: 1834: 1832: 1829: 1828: 1826: 1820: 1814: 1811: 1809: 1806: 1805: 1803: 1799: 1796: 1794: 1788: 1778: 1775: 1773: 1772:Biquaternions 1770: 1768: 1765: 1763: 1760: 1758: 1755: 1754: 1752: 1750: 1746: 1740: 1737: 1735: 1732: 1730: 1727: 1725: 1722: 1720: 1717: 1715: 1712: 1710: 1707: 1705: 1702: 1700: 1699:Time dilation 1697: 1696: 1694: 1690: 1684: 1681: 1680: 1678: 1674: 1668: 1665: 1663: 1660: 1658: 1655: 1653: 1652:Proper length 1650: 1648: 1645: 1643: 1640: 1638: 1635: 1633: 1630: 1628: 1625: 1624: 1622: 1616: 1610: 1607: 1605: 1602: 1599: 1596: 1594: 1590: 1587: 1586: 1584: 1580: 1577: 1575: 1569: 1565: 1558: 1553: 1551: 1546: 1544: 1539: 1538: 1535: 1528: 1524: 1520: 1516: 1512: 1508: 1504: 1500: 1496: 1492: 1491: 1485: 1482: 1478: 1474: 1470: 1466: 1462: 1458: 1454: 1450: 1446: 1445: 1439: 1438: 1434: 1427: 1423: 1422: 1415: 1412: 1409: 1406: 1405: 1398: 1395: 1392: 1388: 1387: 1380: 1377: 1374: 1370: 1369: 1362: 1359: 1355: 1352: 1347: 1344: 1337: 1335: 1333: 1328: 1325: 1321: 1316: 1300: 1296: 1292: 1282: 1278: 1274: 1269: 1265: 1258: 1255: 1252: 1249: 1246: 1243: 1240: 1237: 1228: 1226: 1222: 1198: 1194: 1190: 1185: 1181: 1173: 1169: 1165: 1160: 1156: 1152: 1149: 1146: 1143: 1137: 1131: 1125: 1118: 1117: 1116: 1094: 1090: 1086: 1081: 1073: 1070: 1067: 1061: 1056: 1052: 1048: 1037: 1033: 1029: 1024: 1020: 1013: 1008: 1000: 997: 994: 991: 988: 985: 982: 979: 970: 964: 959: 955: 951: 948: 942: 936: 932: 926: 922: 918: 915: 912: 909: 902: 901: 900: 898: 894: 890: 885: 883: 879: 875: 871: 866: 864: 860: 857: 853: 849: 845: 839: 801: 772: 760: 755: 753: 748: 746: 741: 740: 738: 737: 731: 721: 718: 713: 707: 706: 705: 704: 697: 696: 692: 690: 687: 685: 682: 680: 677: 675: 672: 670: 667: 665: 662: 660: 657: 655: 652: 650: 647: 645: 642: 640: 637: 635: 634:Chandrasekhar 632: 630: 627: 625: 622: 620: 617: 615: 612: 610: 607: 605: 602: 600: 597: 595: 592: 590: 587: 585: 582: 580: 577: 575: 572: 570: 567: 565: 562: 560: 557: 555: 552: 550: 549:Schwarzschild 547: 545: 542: 540: 537: 535: 532: 530: 527: 526: 518: 517: 510: 509:Hartle–Thorne 507: 505: 502: 500: 497: 495: 492: 490: 487: 485: 482: 480: 477: 475: 472: 470: 467: 465: 462: 460: 457: 455: 452: 450: 447: 445: 442: 440: 437: 435: 432: 430: 427: 424: 420: 419:Schwarzschild 417: 416: 412: 406: 405: 394: 391: 389: 386: 385: 384: 383: 378: 373: 370: 368: 365: 363: 360: 359: 358: 357: 352: 347: 344: 342: 339: 337: 334: 332: 329: 327: 324: 322: 319: 318: 317: 316: 311: 301: 298: 297: 292: 291: 280: 277: 275: 272: 270: 267: 266: 265: 264: 261: 257: 252: 249: 247: 244: 242: 241:Event horizon 239: 237: 234: 232: 229: 227: 224: 222: 219: 217: 214: 212: 209: 207: 204: 203: 202: 201: 191: 190: 183: 180: 178: 175: 173: 170: 168: 165: 164: 156: 155: 150: 147: 142: 139: 137: 134: 132: 129: 128: 126: 124: 121: 120: 119: 118: 100: 97: 93: 88: 84: 79: 76: 72: 65: 60: 57: 53: 43: 39: 38: 35: 31: 19: 2411:expanding it 2400: 2362: 2155: 2056:Kaluza–Klein 1808:Introduction 1734:Twin paradox 1494: 1488: 1448: 1442: 1426:ResearchGate 1419: 1414: 1402: 1397: 1384: 1379: 1366: 1361: 1353: 1346: 1329: 1317: 1229: 1224: 1220: 1218: 1114: 897:line element 892: 888: 886: 867: 770: 768: 694: 654:Raychaudhuri 473: 123:Introduction 2145:Kerr–Newman 2116:Spherical: 1985:Other tests 1928:Singularity 1860:Formulation 1822:Fundamental 1676:Formulation 1657:Proper time 1618:Fundamental 1351:McGraw-Hill 1324:Kerr metric 856:anisotropic 852:homogeneous 669:van Stockum 599:Oppenheimer 454:Kerr–Newman 246:Singularity 2450:Categories 2403:relativity 2297:Zel'dovich 2205:Scientists 2184:Alcubierre 1991:of Mercury 1989:precession 1918:Black hole 1801:Background 1793:relativity 1762:World line 1757:Light cone 1582:Background 1574:relativity 1564:Relativity 1383:Roy Kerr: 1365:Roy Kerr: 1338:References 522:Scientists 354:Formalisms 302:Formalisms 251:Black hole 177:World line 2267:Robertson 2252:Friedmann 2247:Eddington 2237:de Sitter 2071:Solutions 1949:detectors 1944:astronomy 1911:Phenomena 1846:Geodesics 1749:Spacetime 1692:Phenomena 1511:0003-486X 1473:0022-2488 1166:− 1091:ϕ 1074:θ 1071:⁡ 1053:θ 1001:ϕ 995:θ 992:⁡ 983:ψ 916:− 614:Robertson 579:Friedmann 574:Eddington 564:Nordström 554:de Sitter 411:Solutions 336:Geodesics 331:Friedmann 313:Equations 299:Equations 260:Spacetime 195:Phenomena 101:ν 98:μ 89:κ 80:ν 77:μ 69:Λ 61:ν 58:μ 2380:Category 2257:Lemaître 2222:Einstein 2212:Poincaré 2172:Others: 2156:Taub–NUT 2122:interior 2044:theories 2042:Advanced 2009:redshift 1824:concepts 1642:Rapidity 1620:concepts 1320:Roy Kerr 842:) is an 730:Category 594:Lemaître 559:Reissner 544:Poincaré 529:Einstein 474:Taub–NUT 439:Wormhole 423:interior 136:Timeline 2322:Hawking 2317:Penrose 2302:Novikov 2282:Wheeler 2227:Hilbert 2217:Lorentz 2174:pp-wave 1995:lensing 1791:General 1572:Special 1527:0041565 1519:1969567 1481:0152345 1453:Bibcode 1424:, from 1115:where 872: ( 649:Hawking 644:Penrose 619:Bardeen 609:Wheeler 539:Hilbert 534:Lorentz 494:pp-wave 131:History 2363:others 2352:Thorne 2342:Misner 2327:Taylor 2312:Geroch 2307:Ehlers 2277:Zwicky 2095:Kasner 1525:  1517:  1509:  1479:  1471:  1391:19m56s 1373:21m36s 728:  695:others 689:Thorne 679:Newman 659:Taylor 639:Ehlers 624:Walker 589:Zwicky 464:Kasner 2401:This 2357:Weiss 2337:Bondi 2332:Hulse 2262:Milne 2166:discs 2110:Milne 2105:Gödel 1962:Virgo 1515:JSTOR 1435:Notes 1318:When 664:Hulse 604:Gödel 584:Milne 479:Milne 444:Gödel 141:Tests 2407:stub 2292:Kerr 2242:Weyl 2141:Kerr 2001:and 1955:and 1953:LIGO 1507:ISSN 1469:ISSN 1223:and 1219:and 882:1963 874:1951 854:but 769:The 674:Taub 629:Kerr 569:Weyl 449:Kerr 367:BSSN 2347:Yau 1972:GEO 1499:doi 1461:doi 1068:sin 989:cos 846:to 684:Yau 362:ADM 2452:: 2021:/ 1987:: 1942:: 1523:MR 1521:, 1513:, 1505:, 1495:53 1477:MR 1475:, 1467:, 1459:, 1447:, 1334:. 899:) 865:. 835:iː 826:uː 808:/- 804:, 783:ɔː 2438:e 2431:t 2424:v 2413:. 2147:) 2143:( 2129:) 2120:( 2086:) 2082:( 2029:) 2025:( 2005:) 1974:) 1951:( 1600:) 1591:( 1556:e 1549:t 1542:v 1501:: 1463:: 1455:: 1449:4 1301:2 1297:/ 1293:1 1289:) 1283:2 1279:l 1275:+ 1270:2 1266:m 1262:( 1259:+ 1256:m 1253:= 1250:t 1247:, 1244:0 1241:= 1238:U 1225:l 1221:m 1199:2 1195:l 1191:+ 1186:2 1182:t 1174:2 1170:t 1161:2 1157:l 1153:+ 1150:t 1147:m 1144:2 1138:= 1135:) 1132:t 1129:( 1126:U 1100:) 1095:2 1087:d 1082:2 1078:) 1065:( 1062:+ 1057:2 1049:d 1046:( 1043:) 1038:2 1034:l 1030:+ 1025:2 1021:t 1017:( 1014:+ 1009:2 1005:) 998:d 986:+ 980:d 977:( 974:) 971:t 968:( 965:U 960:2 956:l 952:4 949:+ 946:) 943:t 940:( 937:U 933:/ 927:2 923:t 919:d 913:= 910:g 893:S 891:× 889:R 838:/ 832:t 829:ˈ 823:j 820:. 817:n 814:ɛ 811:ˌ 800:/ 797:t 794:ʌ 791:n 786:b 780:t 777:/ 773:( 758:e 751:t 744:v 425:) 421:( 94:T 85:= 73:g 66:+ 54:G 20:)

Index

Taub–NUT vacuum
General relativity
Spacetime curvature schematic
Introduction
History
Timeline
Tests
Mathematical formulation
Equivalence principle
Special relativity
World line
Pseudo-Riemannian manifold
Kepler problem
Gravitational lensing
Gravitational redshift
Gravitational time dilation
Gravitational waves
Frame-dragging
Geodetic effect
Event horizon
Singularity
Black hole
Spacetime
Spacetime diagrams
Minkowski spacetime
Einstein–Rosen bridge
Linearized gravity
Einstein field equations
Friedmann
Geodesics

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