摘要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.
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.
CHEN Xia;WANG Yong-Jiu. The character of an anisotropic and spherically symmetric star in the presence of a cosmological constant[J]. 中国物理快报, 2009, 26(7): 70402-070402.
CHEN Xia, WANG Yong-Jiu. The character of an anisotropic and spherically symmetric star in the presence of a cosmological constant. Chin. Phys. Lett., 2009, 26(7): 70402-070402.
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2009, Vol. 26 
