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The character of an anisotropic and spherically symmetric star in the presence of a cosmological constant |
| CHEN Xia, WANG Yong-Jiu |
| Institute of Physics, Hunan Normal University, Changsha 410081 |
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| Cite this article: |
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CHEN Xia, WANG Yong-Jiu 2009 Chin. Phys. Lett. 26 070402 |
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Abstract From the gravitational structure equations of an anisotropic and spherically symmetric star in the presence of a cosmological constant, we derive the inequality which limits the mass-radius ratio, imposing energy conditions on the matter. From this inequality, we display how the cosmological constant modifies the Buchdahl limit, and express the bounds on both the mass-radius ratio and surface redshift in terms of the ratio between the cosmological constant and mean energy density of the star.
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| Keywords:
04.40.Dg
97.10.-q
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Received: 23 November 2008
Published: 02 July 2009
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| PACS: |
04.40.Dg
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(Relativistic stars: structure, stability, and oscillations)
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97.10.-q
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(Stellar characteristics and properties)
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