Scalar field propagation in higher dimensional black holes at a Lifshitz point

被引:30
作者
Abdalla, Elcio [1 ]
Fernandez Piedra, Owen Pavel [1 ,2 ]
Nunez, Fidel Sosa [2 ]
de Oliveira, Jeferson [3 ]
机构
[1] Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo, Brazil
[2] Univ Cienfuegos, Grp Estudios Avanzados, Cienfuegos, Cuba
[3] Univ Fed Mato Grosso, Inst Fis, BR-78060900 Cuiaba, Brazil
来源
PHYSICAL REVIEW D | 2013年 / 88卷 / 06期
基金
巴西圣保罗研究基金会;
关键词
QUASI-NORMAL MODES;
D O I
10.1103/PhysRevD.88.064035
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We study the complete time evolution of scalar fields propagating in spacetimes of higher-dimensional Lifshitz black holes with the dynamical critical exponent z = 2, obtained from a theory including the most general quadratic curvature corrections to Einstein-Hilbert gravity in D dimensions. We also computed the quasinormal spectrum after performing a numerical integration and solving exactly the Klein-Gordon equation obeyed by the massive scalar field. We found that quasinormal modes are purely imaginary for all dimensions. Concerning the Lambda dS/CFT correspondence, the results indicate that at higher temperatures, initial fluctuations of the thermal state defined at the boundary are not long-lived.
引用
收藏
页数:14
相关论文
共 24 条
[1]   Three dimensional Lifshitz black hole and the Korteweg-de Vries equation [J].
Abdalla, E. ;
de Oliveira, Jeferson ;
Lima-Santos, A. ;
Pavan, A. B. .
PHYSICS LETTERS B, 2012, 709 (03) :276-279
[2]   Perturbations of black p-branes [J].
Abdalla, Elcio ;
Fernandez Piedra, Owen Pavel ;
de Oliveira, Jeferson ;
Molina, C. .
PHYSICAL REVIEW D, 2010, 81 (06)
[3]   Large N field theories, string theory and gravity [J].
Aharony, O ;
Gubser, SS ;
Maldacena, J ;
Ooguri, H ;
Oz, Y .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 323 (3-4) :183-386
[4]   Analytic Lifshitz black holes in higher dimensions [J].
Ayon-Beato, Eloy ;
Garbarz, Alan ;
Giribet, Gaston ;
Hassaine, Mokhtar .
JOURNAL OF HIGH ENERGY PHYSICS, 2010, (04)
[5]   Lifshitz black hole in three dimensions [J].
Ayon-Beato, Eloy ;
Garbarz, Alan ;
Giribet, Gaston ;
Hassaine, Mokhtar .
PHYSICAL REVIEW D, 2009, 80 (10)
[6]   An analytic Lifshitz black hole [J].
Balasubramanian, Koushik ;
McGreevy, John .
PHYSICAL REVIEW D, 2009, 80 (10)
[7]   Quasinormal modes of black holes and black branes [J].
Berti, Emanuele ;
Cardoso, Vitor ;
Starinets, Andrei O. .
CLASSICAL AND QUANTUM GRAVITY, 2009, 26 (16)
[8]   Mining information from binary black hole mergers:: A comparison of estimation methods for complex exponentials in noise [J].
Berti, Emanuele ;
Cardoso, Vitor ;
Gonzalez, Jose A. ;
Sperhake, Ulrich .
PHYSICAL REVIEW D, 2007, 75 (12)
[9]   Quasinormal frequencies of Schwarzschild black holes in anti-de Sitter spacetimes: A complete study of the overtone asymptotic behavior [J].
Cardoso, V ;
Konoplya, R ;
Lemos, JPS .
PHYSICAL REVIEW D, 2003, 68 (04)
[10]   Stability analysis and area spectrum of three-dimensional Lifshitz black holes [J].
Cuadros-Melgar, Bertha ;
de Oliveira, Jeferson ;
Pellicer, C. E. .
PHYSICAL REVIEW D, 2012, 85 (02)