Static spherically symmetric star in Gauss-Bonnet gravity

Abstract

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.

11 pages, 2 figures and some new references added

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• Dilatonic Equation of Hydrostatic Equilibrium and Neutron Star Structure
• Buchdahl's inequality in five dimensional Gauss-Bonnet gravity
• Neutron stars in Einstein-$\Lambda$ gravity: the cosmological constant effects
• Quasinormal modes of charged black holes in higher-dimensional Einstein-power-Maxwell theory
• Gravitational Perfect Fluid Collapse in Gauss-Bonnet Gravity
• Neutron Stars in Mimetic Gravity
• Spontaneous emission of a two-level static atom coupling with the electromagnetic vacuum fluctuations outside a high-dimensional Einstein Gauss-Bonnet black hole