Journal
GENERAL RELATIVITY AND GRAVITATION
Volume 41, Issue 3, Pages 453-468Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10714-008-0675-8
Keywords
Stellar models in d-dimensions; Hydrostatic equilibrium of stars; Buchdahl limit
Funding
- Funda ao para a Ciencia e a Tecnologia (FCT) of the Ministry of Science, Portugal [SFRH/BD29446/2006]
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We investigate the conditions for which a d-dimensional perfect fluid solution is in hydrostatic equilibrium with a cosmological constant. We find a generalization of Buchdahl inequality and obtain an upper bound for the degree of compactification. Using the Tolman-Oppenheimer-Volkoff equation to get a lower bound for the degree of compactification we analyse the regions where the solution is in hydrostatic equilibrium. We obtain the inner metric solution and the pressure for the constant fluid density model.
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