|
|
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 |
|
|
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.
|
Received: 28 April 2011
Revised: 23 October 2011
Accepted manuscript online:
|
PACS:
|
04.50.-h
|
(Higher-dimensional gravity and other theories of gravity)
|
|
04.40.Nr
|
(Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields)
|
|
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
|
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
|
[1] |
Horava P and Witten E 1996 Nucl. Phys. B 475 94
|
[2] |
Lukas A, Ovrut B A and Waldram D 1999 Phys. Rev. D 60 086001
|
[3] |
Randall L and Sundrum R 1999 Phys. Rev. Lett. 83 3370
|
[4] |
Randall L and Sundrum R, 1999 Phys. Rev. Lett. 83 4690
|
[5] |
Lanczos C 1938 Annals Math. 39 842
|
[6] |
Lovelock D 1971 J. Math. Phys. 12 498
|
[7] |
Lust D and Theisen S 1989 Lect. Notes Phys. 346 1
|
[8] |
Alekseev S O and Pomazanov M V 1997 Grav. Cosmol. 3 191
|
[9] |
Maeda K I, Ohta N and Sasagawa Y 2009 Phys. Rev. D 80 104032
|
[10] |
Elizalde E, Jhingan S, Nojiri S, Odintsov S D, Sami M and Thongkool I 2008 Eur. Phys. J. C 53 447
|
[11] |
Boulware D G and Deser S 1985 Phys. Rev. Lett. 55 2656
|
[12] |
Wheeler J T 1986 Nucl. Phys. B 273 (1986) 732
|
[13] |
Wheeler J T 1986 Nucl. Phys. B 268 737
|
[14] |
Cai R G 2002 Phys. Rev. D 65 (2002) 084014
|
[15] |
Cai R G and Guo Q 2004 Phys. Rev. D 69 104025
|
[16] |
Cvetic M, Nojiri S and Odintsov S D 2002 Nucl. Phys. B 628 295
|
[17] |
Zou D, Yang Z, Yue R and Li P 2011 Mod. Phys. Lett. A 26 515
|
[18] |
Kim H C and Cai R G 2008 Phys. Rev. D 77 024045
|
[19] |
Zou D C, Yang Z Y and Yue R H 2011 Chin. Phys. Lett. 28 020402
|
[20] |
Zou D C, Yang Z Y, Yue R H and Yu T Y 2011 Chin. Phys. B 20 100403
|
[21] |
Yue R H, Zou D C, Yu T Y and Yang Z Y 2011 Chin. Phys. B 20 050401
|
[22] |
Wald R M 1984 General Relativity (Chicago: University of Chicago Press)
|
[23] |
Tolman R C 1949 Rev. Mod. Phys. 21 374
|
[24] |
Oppenheimer J R and Snyder H 1939 Phys. Rev. 56 455
|
[25] |
Oppenheimer J R and Volkoff G M 1939 Phys. Rev. 55 374
|
[26] |
Bondi H 1964 Proc. Roy. Soc. Lond. A 281 39
|
[27] |
Harrison B K, Thorne K S, Wakano M and Wheeler J A 1965 Gravitational Theory and Gravitational Collapse (Chicago: University of Chicago Press)
|
[28] |
Morse P M and Feshbach H 1953 Methods of Mathematical Physics (New York: Me Graw-Hill)
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|