On the mass of a uniform density star in higher dimensions

Details On the mass of a uniform density star in higher dimensions On the mass of a uniform density star in higher dimensions

Jul 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001cqgra..18.2637p&link_type=abstract

Classical and Quantum Gravity, Volume 18, Issue 14, pp. 2637-2641 (2001).

Physics

2

Scientific paper

Within the framework of higher dimensions the mass of a uniform density star is evaluated. The four-dimensional upper bound for the mass-to-radius ratio obtained by Schwarzschild is generalized within the framework of higher-dimensional spacetime. It is found that the analogue upper bound for the mass-to-radius ratio in higher dimensions tends to increase at first as the number of dimensions of spacetime increases, it attains a maximum at nine dimensions and thereafter decreases. It is found that D = 4 is the lowest number of spacetime dimensions for which the mass-to-radius ratio of a uniform density star can be derived.

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