Static spherically symmetric star in Gauss-Bonnet gravity |
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Authors: | Zhou Kang Yang Zhan-Ying Zou De-Cheng Yue Rui-Hong |
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Affiliation: | Department of Physics, Northwest University, Xián 710069, China;Department of Physics, Northwest University, Xián 710069, China;Department of Physics, Northwest University, Xián 710069, China;Faculty of Science, Ningbo University, Ningbo 315211, China |
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Abstract: | We explore static spherically symmetric stars in Gauss-Bonnet gravity without a 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 the red shift of spectral lines from the surface of stars. Unlike in general relativity, the upper bound of the 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 hold in Gauss-Bonnet gravity. |
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Keywords: | Gauss-Bonnet gravity static spherically symmetric star red shift |
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