Static spherically symmetric star in Gauss–Bonnet gravity

doi:10.1088/1674-1056/21/2/020401

中国物理B ›› 2012, Vol. 21 ›› Issue (2): 20401-020401.doi: 10.1088/1674-1056/21/2/020401

周康¹,杨战营¹,邹德成¹,岳瑞宏²

收稿日期:2011-04-28 修回日期:2011-10-23 出版日期:2012-01-30 发布日期:2012-01-30
通讯作者: 杨战营,zyyang@nwu.edu.cn;岳瑞宏,yueruihong@nbu.edu.cn E-mail:zyyang@nwu.edu.cn;yueruihong@nbu.edu.cn

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

Received:2011-04-28 Revised:2011-10-23 Online:2012-01-30 Published:2012-01-30
Contact: Yang Zhan-Ying,zyyang@nwu.edu.cn;Yue Rui-Hong,yueruihong@nbu.edu.cn E-mail:zyyang@nwu.edu.cn;yueruihong@nbu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10875060, 10975180, and 11047025).

摘要/Abstract

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.

Key words: Gauss-Bonnet gravity, static spherically symmetric star, red shift

中图分类号: (Higher-dimensional gravity and other theories of gravity)

04.50.-h

04.40.Nr (Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields)

周康, 杨战营, 邹德成, 岳瑞宏. [J]. 中国物理B, 2012, 21(2): 20401-020401.

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[J]. Chin. Phys. B, 2012, 21(2): 20401-020401.

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Static spherically symmetric star in Gauss–Bonnet gravity

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