Tolman-Oppenheimer-Volkoff equations in presence of the Chaplygin gas: stars and wormhole-like solutions
We study static solutions of the Tolman--Oppenheimer--Volkoff equations for spherically symmetric objects (stars) living in a space filled with the Chaplygin gas. Two cases are considered. In the normal case all solutions (excluding the de Sitter one) realize a three-dimensional spheroidal geometry...
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ftunibolognairis:oai:cris.unibo.it:11585/62111 2024-04-14T08:19:47+00:00 Tolman-Oppenheimer-Volkoff equations in presence of the Chaplygin gas: stars and wormhole-like solutions V. Gorini U. Moschella V. Pasquier A. A. Starobinsky KAMENCHTCHIK, ALEXANDR V. Gorini A.Yu. Kamenshchik U. Moschella V. Pasquier A.A. Starobinsky 2008 STAMPA http://hdl.handle.net/11585/62111 https://doi.org/10.1103/PhysRevD.78.064064 eng eng info:eu-repo/semantics/altIdentifier/wos/WOS:000259692800135 volume:78 firstpage:064064 lastpage:064064 numberofpages:10 journal:PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY http://hdl.handle.net/11585/62111 doi:10.1103/PhysRevD.78.064064 info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-53549128642 RELATIVITA' GENERALE EQUAZIONI DI TOLMAN-OPPENHEIMER-VOLKOFF STELLE WORMHOLES info:eu-repo/semantics/article 2008 ftunibolognairis https://doi.org/10.1103/PhysRevD.78.064064 2024-03-21T17:13:12Z We study static solutions of the Tolman--Oppenheimer--Volkoff equations for spherically symmetric objects (stars) living in a space filled with the Chaplygin gas. Two cases are considered. In the normal case all solutions (excluding the de Sitter one) realize a three-dimensional spheroidal geometry because the radial coordinate achieves a maximal value (the "equator"). After crossing the equator, three scenarios are possible: a closed spheroid having a Schwarzschild-type singularity with infinite blue-shift at the "south pole", a regular spheroid, and a truncated spheroid having a scalar curvature singularity at a finite value of the radial coordinate. The second case arises when the modulus of the pressure exceeds the energy density (the phantom Chaplygin gas). There is no more equator and all solutions have the geometry of a truncated spheroid with the same type of singularity. We consider also static spherically symmetric configurations existing in a universe filled with the phantom Chaplygin gas only. In this case two classes of solutions exist: truncated spheroids and solutions of the wormhole type with a throat. However, the latter are not asymptotically flat and possess curvature singularities at finite values of the radial coordinate. Thus, they may not be used as models of observable compact astrophysical objects. Article in Journal/Newspaper South pole IRIS Università degli Studi di Bologna (CRIS - Current Research Information System) Sitter ENVELOPE(10.986,10.986,64.529,64.529) South Pole Stelle ENVELOPE(18.729,18.729,69.956,69.956) Physical Review D 78 6 |
institution |
Open Polar |
collection |
IRIS Università degli Studi di Bologna (CRIS - Current Research Information System) |
op_collection_id |
ftunibolognairis |
language |
English |
topic |
RELATIVITA' GENERALE EQUAZIONI DI TOLMAN-OPPENHEIMER-VOLKOFF STELLE WORMHOLES |
spellingShingle |
RELATIVITA' GENERALE EQUAZIONI DI TOLMAN-OPPENHEIMER-VOLKOFF STELLE WORMHOLES V. Gorini U. Moschella V. Pasquier A. A. Starobinsky KAMENCHTCHIK, ALEXANDR Tolman-Oppenheimer-Volkoff equations in presence of the Chaplygin gas: stars and wormhole-like solutions |
topic_facet |
RELATIVITA' GENERALE EQUAZIONI DI TOLMAN-OPPENHEIMER-VOLKOFF STELLE WORMHOLES |
description |
We study static solutions of the Tolman--Oppenheimer--Volkoff equations for spherically symmetric objects (stars) living in a space filled with the Chaplygin gas. Two cases are considered. In the normal case all solutions (excluding the de Sitter one) realize a three-dimensional spheroidal geometry because the radial coordinate achieves a maximal value (the "equator"). After crossing the equator, three scenarios are possible: a closed spheroid having a Schwarzschild-type singularity with infinite blue-shift at the "south pole", a regular spheroid, and a truncated spheroid having a scalar curvature singularity at a finite value of the radial coordinate. The second case arises when the modulus of the pressure exceeds the energy density (the phantom Chaplygin gas). There is no more equator and all solutions have the geometry of a truncated spheroid with the same type of singularity. We consider also static spherically symmetric configurations existing in a universe filled with the phantom Chaplygin gas only. In this case two classes of solutions exist: truncated spheroids and solutions of the wormhole type with a throat. However, the latter are not asymptotically flat and possess curvature singularities at finite values of the radial coordinate. Thus, they may not be used as models of observable compact astrophysical objects. |
author2 |
V. Gorini A.Yu. Kamenshchik U. Moschella V. Pasquier A.A. Starobinsky |
format |
Article in Journal/Newspaper |
author |
V. Gorini U. Moschella V. Pasquier A. A. Starobinsky KAMENCHTCHIK, ALEXANDR |
author_facet |
V. Gorini U. Moschella V. Pasquier A. A. Starobinsky KAMENCHTCHIK, ALEXANDR |
author_sort |
V. Gorini |
title |
Tolman-Oppenheimer-Volkoff equations in presence of the Chaplygin gas: stars and wormhole-like solutions |
title_short |
Tolman-Oppenheimer-Volkoff equations in presence of the Chaplygin gas: stars and wormhole-like solutions |
title_full |
Tolman-Oppenheimer-Volkoff equations in presence of the Chaplygin gas: stars and wormhole-like solutions |
title_fullStr |
Tolman-Oppenheimer-Volkoff equations in presence of the Chaplygin gas: stars and wormhole-like solutions |
title_full_unstemmed |
Tolman-Oppenheimer-Volkoff equations in presence of the Chaplygin gas: stars and wormhole-like solutions |
title_sort |
tolman-oppenheimer-volkoff equations in presence of the chaplygin gas: stars and wormhole-like solutions |
publishDate |
2008 |
url |
http://hdl.handle.net/11585/62111 https://doi.org/10.1103/PhysRevD.78.064064 |
long_lat |
ENVELOPE(10.986,10.986,64.529,64.529) ENVELOPE(18.729,18.729,69.956,69.956) |
geographic |
Sitter South Pole Stelle |
geographic_facet |
Sitter South Pole Stelle |
genre |
South pole |
genre_facet |
South pole |
op_relation |
info:eu-repo/semantics/altIdentifier/wos/WOS:000259692800135 volume:78 firstpage:064064 lastpage:064064 numberofpages:10 journal:PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY http://hdl.handle.net/11585/62111 doi:10.1103/PhysRevD.78.064064 info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-53549128642 |
op_doi |
https://doi.org/10.1103/PhysRevD.78.064064 |
container_title |
Physical Review D |
container_volume |
78 |
container_issue |
6 |
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1796297888962183168 |