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Relativistic disk

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54:. Physically reasonable solutions must satisfy some additional conditions such as finiteness and positiveness of mass, physically reasonable kind of matter and finite geometrical size. Exact solutions describing relativistic static thin disks as their sources were first studied by Bonnor and Sackfield and Morgan and Morgan. Subsequently, several classes of exact solutions corresponding to static and stationary thin disks have been obtained by different authors. 1007: 1026: 710: 50:
whose solution determines the external field, and the ‘inner’ problem, whose solution determines the structure and the dynamics of the matter source in its own
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Guillermo A. Gonzålez and Antonio C. Gutiérrez-Piñeres. (2012). "Stationary axially symmetric relativistic thin discs with nonzero radial pressure".
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Antonio C. Gutiérrez-Piñeres, Guillermo A. Gonzålez and Hernando Quevedo (2013). "Conformastatic disk-haloes in Einstein-Maxwell gravity".
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isolated sources. To find such solutions, one has to pose correctly and solve together the ‘outer’ problem, a
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You can help Knowledge by 7: 350:Relativistic Doppler effect 10: 1113: 1019: 821:In computational physics: 345:Relativity of simultaneity 146:10.1103/PhysRevD.87.044010 48:Einstein's field equations 32:Einstein's field equations 1003: 835: 700: 672: 658:Lense–Thirring precession 541: 490: 452: 431: 420: 378: 322: 306: 248: 240:Doubly special relativity 212: 201: 518:Post-Newtonian formalism 508:Einstein field equations 444:Mathematical formulation 268:Hyperbolic orthogonality 229:Galilean transformation 220:Principle of relativity 1036:-related article is a 314:Lorentz transformation 44:boundary value problem 782:Weyl−Lewis−Papapetrou 523:Raychaudhuri equation 462:Equivalence principle 34:corresponding to the 823:Numerical relativity 664:pulsar timing arrays 715:Friedmann equations 609:Hulse–Taylor binary 571:Gravitational waves 467:Riemannian geometry 293:Proper acceleration 278:Maxwell's equations 224:Galilean relativity 138:2013PhRvD..87d4010G 85:2012CQGra..29m5001G 52:gravitational field 36:gravitational field 1087:General relativity 764:Reissner–Nordström 682:Brans–Dicke theory 513:Linearized gravity 340:Length contraction 258:Frame of reference 235:Special relativity 18:general relativity 1049: 1048: 1017: 1016: 831: 830: 810:OzsvĂĄth–SchĂŒcking 416: 415: 398:Minkowski diagram 355:Thomas precession 298:Relativistic mass 22:relativistic disk 1104: 1097:Relativity stubs 1070: 1063: 1056: 1028: 1021: 1009: 1008: 792:van Stockum dust 564:Two-body problem 482:Mach's principle 429: 428: 370:Terrell rotation 210: 209: 188: 181: 174: 165: 164: 158: 157: 131: 111: 105: 104: 68: 1112: 1111: 1107: 1106: 1105: 1103: 1102: 1101: 1077: 1076: 1075: 1074: 1018: 1013: 999: 827: 731:BKL singularity 721:LemaĂźtre–Tolman 696: 692:Quantum gravity 674: 668: 654:geodetic effect 628:(together with 598:LISA Pathfinder 537: 486: 472:Penrose diagram 454: 448: 423: 412: 408:Minkowski space 374: 318: 302: 250: 244: 204: 197: 192: 162: 161: 112: 108: 69: 65: 60: 12: 11: 5: 1110: 1100: 1099: 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Rev. D 115: 109: 76: 72: 66: 25: 21: 15: 776:Kerr–Newman 747:Spherical: 616:Other tests 559:Singularity 491:Formulation 453:Fundamental 307:Formulation 288:Proper time 249:Fundamental 46:for vacuum 1081:Categories 1034:relativity 928:Zel'dovich 836:Scientists 815:Alcubierre 622:of Mercury 620:precession 549:Black hole 432:Background 424:relativity 393:World line 388:Light cone 213:Background 205:relativity 195:Relativity 58:References 898:Robertson 883:Friedmann 878:Eddington 868:de Sitter 702:Solutions 580:detectors 575:astronomy 542:Phenomena 477:Geodesics 380:Spacetime 323:Phenomena 154:119323477 129:1211.4941 101:119336024 1011:Category 888:LemaĂźtre 853:Einstein 843:PoincarĂ© 803:Others: 787:Taub–NUT 753:interior 675:theories 673:Advanced 640:redshift 455:concepts 273:Rapidity 251:concepts 953:Hawking 948:Penrose 933:Novikov 913:Wheeler 858:Hilbert 848:Lorentz 805:pp-wave 626:lensing 422:General 203:Special 134:Bibcode 81:Bibcode 994:others 983:Thorne 973:Misner 958:Taylor 943:Geroch 938:Ehlers 908:Zwicky 726:Kasner 152:  99:  20:, the 1032:This 988:Weiss 968:Bondi 963:Hulse 893:Milne 797:discs 741:Milne 736:Gödel 593:Virgo 150:S2CID 124:arXiv 97:S2CID 1038:stub 923:Kerr 873:Weyl 772:Kerr 632:and 586:and 584:LIGO 978:Yau 603:GEO 142:doi 89:doi 16:In 1083:: 652:/ 618:: 573:: 148:. 140:. 132:. 120:87 118:. 95:. 87:. 77:29 75:. 1069:e 1062:t 1055:v 1044:. 778:) 774:( 760:) 751:( 717:) 713:( 660:) 656:( 636:) 605:) 582:( 231:) 222:( 187:e 180:t 173:v 156:. 144:: 136:: 126:: 103:. 91:: 83::

Index

general relativity
axi-symmetric
Einstein's field equations
gravitational field
axi-symmetric
boundary value problem
Einstein's field equations
gravitational field
Bibcode
2012CQGra..29m5001G
doi
10.1088/0264-9381/29/13/135001
S2CID
119336024
arXiv
1211.4941
Bibcode
2013PhRvD..87d4010G
doi
10.1103/PhysRevD.87.044010
S2CID
119323477
v
t
e
Relativity
Special
relativity

Principle of relativity
Galilean relativity
Galilean transformation

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