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Static spherically symmetric star in Gauss–Bonnet gravity |
| Zhou Kang(周康)a), Yang Zhan-Ying(杨战营)a)†, Zou De-Cheng(邹德成)a), and Yue Rui-Hong(岳瑞宏) b) |
a. Department of Physics, Northwest University, Xi'an 710069, China;
b. 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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Received: 28 April 2011
Revised: 23 October 2011
Accepted manuscript online:
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PACS:
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04.50.-h
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(Higher-dimensional gravity and other theories of gravity)
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04.40.Nr
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(Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10875060, 10975180, and 11047025). |
Corresponding Authors:
Yang Zhan-Ying,zyyang@nwu.edu.cn;Yue Rui-Hong,yueruihong@nbu.edu.cn
E-mail: zyyang@nwu.edu.cn;yueruihong@nbu.edu.cn
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Cite this article:
Zhou Kang(周康), Yang Zhan-Ying(杨战营), Zou De-Cheng(邹德成), and Yue Rui-Hong(岳瑞宏) Static spherically symmetric star in Gauss–Bonnet gravity 2012 Chin. Phys. B 21 020401
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