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Article: Dynamical instability of fluid spheres in the presence of a cosmological constant

TitleDynamical instability of fluid spheres in the presence of a cosmological constant
Authors
KeywordsPhysics - nuclear physics
Issue Date2005
PublisherAmerican Physical Society. The Journal's web site is located at http://prd.aps.org
Citation
Physical Review D (Particles, Fields, Gravitation and Cosmology), 2005, v. 71 n. 8, p. 084026:1-9 How to Cite?
AbstractThe equations describing the adiabatic, small radial oscillations of general relativistic stars are generalized to include the effects of a cosmological constant. The generalized eigenvalue equation for the normal modes is used to study the changes in the stability of the homogeneous sphere induced by the presence of the cosmological constant. The variation of the critical adiabatic index as a function of the central pressure is studied numerically for different trial functions. The presence of a large cosmological constant significantly increases the value of the critical adiabatic index. The dynamical stability condition of the homogeneous star in the Schwarzschild–de Sitter geometry is obtained and several bounds on the maximum allowable value for a cosmological constant are derived from stability considerations.
Persistent Identifierhttp://hdl.handle.net/10722/43154
ISSN
2014 Impact Factor: 4.643
2015 SCImago Journal Rankings: 1.882
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorBohmer, CGen_HK
dc.contributor.authorHarko, TCen_HK
dc.date.accessioned2007-03-23T04:40:15Z-
dc.date.available2007-03-23T04:40:15Z-
dc.date.issued2005en_HK
dc.identifier.citationPhysical Review D (Particles, Fields, Gravitation and Cosmology), 2005, v. 71 n. 8, p. 084026:1-9en_HK
dc.identifier.issn1550-7998en_HK
dc.identifier.urihttp://hdl.handle.net/10722/43154-
dc.description.abstractThe equations describing the adiabatic, small radial oscillations of general relativistic stars are generalized to include the effects of a cosmological constant. The generalized eigenvalue equation for the normal modes is used to study the changes in the stability of the homogeneous sphere induced by the presence of the cosmological constant. The variation of the critical adiabatic index as a function of the central pressure is studied numerically for different trial functions. The presence of a large cosmological constant significantly increases the value of the critical adiabatic index. The dynamical stability condition of the homogeneous star in the Schwarzschild–de Sitter geometry is obtained and several bounds on the maximum allowable value for a cosmological constant are derived from stability considerations.en_HK
dc.format.extent154609 bytes-
dc.format.extent122136 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/pdf-
dc.languageengen_HK
dc.publisherAmerican Physical Society. The Journal's web site is located at http://prd.aps.orgen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsPhysical Review D (Particles, Fields, Gravitation and Cosmology). Copyright © American Physical Society.en_HK
dc.subjectPhysics - nuclear physicsen_HK
dc.titleDynamical instability of fluid spheres in the presence of a cosmological constanten_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1550-7998&volume=71&issue=8&spage=084026:1&epage=9&date=2005&atitle=Dynamical+instability+of+fluid+spheres+in+the+presence+of+a+cosmological+constanten_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1103/PhysRevD.71.084026en_HK
dc.identifier.hkuros100849-
dc.identifier.isiWOS:000228765800064-

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