Static spherically symmetric star in Gauss-Bonnet gravity

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 comple...

Full description

Saved in:
Bibliographic Details
Published inChinese physics B Vol. 21; no. 2; pp. 107 - 113
Main Author 周康 杨战营 邹德成 岳瑞宏
Format Journal Article
LanguageEnglish
Published 01.02.2012
Subjects
Constants
Density
Doppler effect
Gravitation
Red shift
Relativity
Stars
Symmetry
Upper bounds
宇宙常数
平衡稳定
广义相对论
星级
耦合常数
重力
静态球对称
高斯
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:Gauss-Bonnet gravity, static spherically symmetric star, red shift
Zhou Kang, Yang Zhan-Ying, Zou De-Cheng, Yue Rui-Honga） Department of Physics, Northwest University, Xi＇an 710069, China b） Faculty of Science, Ningbo University, Ningbo 315211, China
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.
11-5639/O4
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/2/020401