Chin. Phys. Lett.  2009, Vol. 26 Issue (7): 070402    DOI: 10.1088/0256-307X/26/7/070402
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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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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.
Keywords: 04.40.Dg      97.10.-q     
Received: 23 November 2008      Published: 02 July 2009
PACS:  04.40.Dg (Relativistic stars: structure, stability, and oscillations)  
  97.10.-q (Stellar characteristics and properties)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/26/7/070402       OR      https://cpl.iphy.ac.cn/Y2009/V26/I7/070402
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CHEN Xia
WANG Yong-Jiu
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