The binding energy of a Schwarzschild sphere in D space-time dimensions

Details The binding energy of a Schwarzschild sphere in D space-time dimensions The binding energy of a Schwarzschild sphere in D space-time dimensions

Jul 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991an....312..299w&link_type=abstract

Astronomische Nachrichten (ISSN 0004-6337), vol. 312, no. 5, 1991, p. 299-306.

Statistics

Computation

Neutron Stars, Schwarzschild Metric, Space-Time Functions, String Theory, Supergravity, Computational Astrophysics, Einstein Equations, Gamma Ray Bursts, Quantum Electrodynamics, Spheres

Scientific paper

The binding energy of a Schwarzschild gas sphere in D space-time dimensions is calculated. To the post-Newtonian approximation it is demonstrated that the interior Schwarzschild solution does not exhibit an instability before the Schwarzschild radius is reached for D = 4. For D = 5,6 binding energy is found to be negative to the post-Newtonian approximation. Extending the approximation to the post-post-Newtonian approximation, it is found that the post-post-Newtonian contribution to the binding energy of a Schwarzschild gas sphere is positive for the cases D = 4, 5, 6. The effect of the post-post-Newtonian contribution to the binding energy on the stability of higher dimensional gas spheres is discussed.

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