Stability of Schwarzschild-like solutions in f(R, G) gravity models

被引:85
作者
De Felice, Antonio [1 ]
Suyama, Teruaki [2 ]
Tanaka, Takahiro [3 ]
机构
[1] Tokyo Univ Sci, Fac Sci, Dept Phys, Shinjuku Ku, Tokyo 1628601, Japan
[2] Univ Tokyo, Res Ctr Early Universe, Bunkyo Ku, Tokyo 1130033, Japan
[3] Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan
来源
PHYSICAL REVIEW D | 2011年 / 83卷 / 10期
关键词
MATTER DENSITY PERTURBATIONS;
D O I
10.1103/PhysRevD.83.104035
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We study linear metric perturbations around a spherically symmetric static spacetime for general f(R, G) theories, where R is the Ricci scalar and G is the Gauss-Bonnet term. We find that, unless the determinant of the Hessian of f(R, G) is zero, even-type perturbations have a ghost for any multipole mode. In order for these theories to be plausible alternatives to general relativity, the theory should satisfy the condition that the ghost is massive enough to effectively decouple from the other fields. We study the requirement on the form of f(R, G) which satisfies this condition. We also classify the number of propagating modes both for the odd-type and the even-type perturbations and derive the propagation speeds for each mode.
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页数:12
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