Stability analysis of black holes in massive gravity: A unified treatment

被引：40
作者：
Babichev, Eugeny [1 ]
Fabbri, Alessandro [1 ,2 ,3 ,4 ,5 ,6 ]
机构：
[1] Univ Paris 11, Lab Phys Theor Orsay, F-91405 Orsay, France
[2] Museo Stor Fis, I-00184 Rome, Italy
[3] Ctr Studi Ric Enrico Fermi, I-00184 Rome, Italy
[4] Univ Bologna, Dipartmento Fis, I-40126 Bologna, Italy
[5] Univ Valencia, CSIC, Dept Fis Teor, E-46100 Burjassot, Spain
[6] Univ Valencia, IFIC, CSIC, E-46100 Burjassot, Spain
来源：
PHYSICAL REVIEW D | 2014年 / 89卷 / 08期
关键词：
FIELD-THEORY; RANGE;
D O I：
10.1103/PhysRevD.89.081502
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We consider the analytic solutions of massive (bi) gravity which can be written in a simple form using advanced Eddington-Finkelstein coordinates. We analyze the stability of these solutions against radial perturbations. First we recover the previously obtained result on the instability of the bidiagonal bi-Schwarzschild solutions. In the nonbidiagonal case (which contains, in particular, the Schwarzschild solution with Minkowski fiducial metric), we show that generically there are physical spherically symmetric perturbations, but no unstable modes.
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相关论文
共 26 条
[1]   Effective field theory for massive gravitons and gravity in theory space [J].
Arkani-Hamed, N ;
Georgi, H ;
Schwartz, MD .
ANNALS OF PHYSICS, 2003, 305 (02) :96-118
[2]   Recovering General Relativity from Massive Gravity [J].
Babichev, E. ;
Deffayet, C. ;
Ziour, R. .
PHYSICAL REVIEW LETTERS, 2009, 103 (20)
[3]   An introduction to the Vainshtein mechanism [J].
Babichev, Eugeny ;
Deffayet, Cedric .
CLASSICAL AND QUANTUM GRAVITY, 2013, 30 (18)
[4]   Instability of black holes in massive gravity [J].
Babichev, Eugeny ;
Fabbri, Alessandro .
CLASSICAL AND QUANTUM GRAVITY, 2013, 30 (15)
[5]   CAN GRAVITATION HAVE A FINITE-RANGE [J].
BOULWARE, DG ;
DESER, S .
PHYSICAL REVIEW D, 1972, 6 (12) :3368-3382
[6]   Black holes with massive graviton hair [J].
Brito, Richard ;
Cardoso, Vitor ;
Pani, Paolo .
PHYSICAL REVIEW D, 2013, 88 (06)
[7]   Massive spin-2 fields on black hole spacetimes: Instability of the Schwarzschild and Kerr solutions and bounds on the graviton mass [J].
Brito, Richard ;
Cardoso, Vitor ;
Pani, Paolo .
PHYSICAL REVIEW D, 2013, 88 (02)
[8]   Spherically symmetric solutions in ghost-free massive gravity [J].
Comelli, D. ;
Crisostomi, M. ;
Nesti, F. ;
Pilo, L. .
PHYSICAL REVIEW D, 2012, 85 (02)
[9]  
de Rham C., ARXIV14014173
[10]   Resummation of Massive Gravity [J].
de Rham, Claudia ;
Gabadadze, Gregory ;
Tolley, Andrew J. .
PHYSICAL REVIEW LETTERS, 2011, 106 (23)
123