Static spherically symmetric star in Gauss-Bonnet gravity

Details Static spherically symmetric star in Gauss-Bonnet gravity Static spherically symmetric star in Gauss-Bonnet gravity

2011-07-14

arxiv.org/abs/1107.2732v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 2 figures and some new references added

Scientific paper

We explore static spherically symmetric stars in the Gauss-Bonnet gravity without cosmological constant, and present an exact internal solution which attaches to the exterior vacuum solution outside stars. It turns out that the presence of the Gauss-Bonnet term with a positive coupling constant completely changes thermal and gravitational energies, and the upper bound of red shift of spectral lines from the surface of stars. Unlike in general relativity, the upper bound of red shift is dependent on the density of stars in our case. Moreover, we have proven that two theorems for judging the stability of equilibrium of stars in general relativity can be hold in Gauss-Bonnet gravity.

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