Navegar

Colección

Datos Estadísticas

Artículo

Cuadros-Melgar, B.; De Oliveira, J.; Pellicer, C.E. "Stability analysis and area spectrum of three-dimensional Lifshitz black holes" (2012) Physical Review D - Particles, Fields, Gravitation and Cosmology. 85(2)
La versión final de este artículo es de uso interno. El editor solo permite incluir en el repositorio el artículo en su versión post-print. Por favor, si usted la posee enviela a
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

In this work, we probe the stability of a z=3 three-dimensional Lifshitz black hole by using scalar and spinorial perturbations. We found an analytical expression for the quasinormal frequencies of the scalar probe field, which perfectly agree with the behavior of the quasinormal modes obtained numerically. The results for the numerical analysis of the spinorial perturbations reinforce the conclusion of the scalar analysis, i.e., the model is stable under scalar and spinor perturbations. As an application we found the area spectrum of the Lifshitz black hole, which turns out to be equally spaced. © 2012 American Physical Society.

Registro:

Documento: Artículo
Título:Stability analysis and area spectrum of three-dimensional Lifshitz black holes
Autor:Cuadros-Melgar, B.; De Oliveira, J.; Pellicer, C.E.
Filiación:Department of Physics, National Technical University of Athens, Zografou Campus GR, 157 73 Athens, Greece
Physics Department, University of Buenos Aires FCEN-UBA, IFIBA-CONICET, Pabellón 1, 1428, Buenos Aires, Argentina
Instituto de Física, Universidade de São Paulo, C. P. 66318, CEP 05315-970, São Paulo, Brazil
Año:2012
Volumen:85
Número:2
DOI: http://dx.doi.org/10.1103/PhysRevD.85.024014
Título revista:Physical Review D - Particles, Fields, Gravitation and Cosmology
Título revista abreviado:Phys Rev D Part Fields Gravit Cosmol
ISSN:15507998
CODEN:PRVDA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v85_n2_p_CuadrosMelgar

Referencias:

  • Regge, T., Wheeler, J.A., (1957) Phys. Rev., 108, p. 1063. , PHRVAO 0031-899X 10.1103/PhysRev.108.1063
  • Zerilli, F.J., (1970) Phys. Rev. D, 2, p. 2141. , PRVDAQ 0556-2821 10.1103/PhysRevD.2.2141
  • Vishveshwara, C.V., (1970) Nature (London), 227, p. 936. , NATUAS 0028-0836 10.1038/227936a0
  • Press, W.H., (1971) Astrophys. J., 170, p. 105. , ASJOAB 0004-637X 10.1086/180849
  • Chandrasekhar, S., Detweiler, S., (1975) Proc. R. Soc. A, 344, p. 441. , PRLAAZ 0080-4630 10.1098/rspa.1975.0112
  • Kokkotas, K.D., Schmidt, B.G., (1999) Living Rev. Relativity, 2, p. 2. , 1433-8351
  • Nollert, H.P., (1999) Classical Quantum Gravity, 16, p. 159. , CQGRDG 0264-9381 10.1088/0264-9381/16/12/201
  • Berti, E., Cardoso, V., Starinets, A.O., (2009) Classical Quantum Gravity, 26, p. 163001. , CQGRDG 0264-9381 10.1088/0264-9381/26/16/163001
  • Wang, B., Lin, C.-Y., Abdalla, E., (2000) Phys. Lett. B, 481, p. 79. , PYLBAJ 0370-2693 10.1016/S0370-2693(00)00409-3
  • Wang, B., Abdalla, E., Mann, R.B., (2002) Phys. Rev. D, 65, p. 084006. , PRVDAQ 0556-2821 10.1103/PhysRevD.65.084006
  • Cardoso, V., Lemos, J.P.S., Scalar, electromagnetic, and Weyl perturbations of BTZ black holes: Quasinormal modes (2001) Physical Review D, 63 (12), p. 124015. , DOI 10.1103/PhysRevD.63.124015
  • Abdalla, E., Piedra, O.P.F., De Oliveira, J., (2010) Phys. Rev. D, 81, p. 064001. , PRVDAQ 1550-7998 10.1103/PhysRevD.81.064001
  • Maldacena, J.M., (1999) Int. J. Theor. Phys., 38, p. 1113. , IJTPBM 0020-7748 10.1023/A:1026654312961
  • Birmingham, D., Sachs, I., Solodukhin, S.N., (2002) Phys. Rev. Lett., 88, p. 151301. , PRLTAO 0031-9007 10.1103/PhysRevLett.88.151301
  • Horowitz, G.T., Hubeny, V.E., Quasinormal modes of AdS black holes and the approach to thermal equilibrium (2000) Physical Review D - Particles, Fields, Gravitation and Cosmology, 62 (2), pp. 1-11. , http://prola.aps.org/pdf/PRD/v62/i2/e024027, DOI 10.1103/PhysRevD.62.024027, 024027
  • Bekenstein, J.D., (1974) Lett. Nuovo Cimento Soc. Ital. Fis., 11, p. 467. , LNUCAE 0375-930X 10.1007/BF02762768
  • Bekenstein, J.D., arXiv:gr-qc/9710076; Hod, S., (1998) Phys. Rev. Lett., 81, p. 4293. , PRLTAO 0031-9007 10.1103/PhysRevLett.81.4293
  • Kunstatter, G., (2003) Phys. Rev. Lett., 90, p. 161301. , PRLTAO 0031-9007 10.1103/PhysRevLett.90.161301
  • Maggiore, M., Physical interpretation of the spectrum of black hole quasinormal modes (2008) Physical Review Letters, 100 (14), p. 141301. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevLett.100.141301&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevLett.100.141301
  • Medved, A.J.M., (2009) Mod. Phys. Lett. A, 24, p. 2601. , MPLAEQ 0217-7323 10.1142/S0217732309031922
  • Ropotenko, K., (2009) Phys. Rev. D, 80, p. 044022. , PRVDAQ 1550-7998 10.1103/PhysRevD.80.044022
  • Padmanabhan, T., Patel, A., arXiv:gr-qc/0309053; Gonzalez, P., Papantonopoulos, E., Saavedra, J., J. High Energy Phys., 2010 (8), p. 050. , JHEPFG 1029-8479 10.1007/JHEP08(2010)050
  • Wei, S.W., Li, R., Liu, Y.X., Ren, J.R., J. High Energy Phys., 2009 (3), p. 076. , JHEPFG 1029-8479 10.1088/1126-6708/2009/03/076
  • Vagenas, E., J. High Energy Phys., 2008 (11), p. 073. , JHEPFG 1029-8479 10.1088/1126-6708/2008/11/073
  • Medved, A.J.M., (2008) Classical Quantum Gravity, 25, p. 205014. , CQGRDG 0264-9381 10.1088/0264-9381/25/20/205014
  • Li, W., Xu, L., Lu, J., (2009) Phys. Lett. B, 676, p. 177. , PYLBAJ 0370-2693 10.1016/j.physletb.2009.04.084
  • Fernando, S., (2009) Phys. Rev. D, 79, p. 124026. , PRVDAQ 1550-7998 10.1103/PhysRevD.79.124026
  • Wei, S.W., Liu, Y.X., arXiv:0906.0908; Kothawala, D., Padmanabhan, T., Sarkar, S., (2008) Phys. Rev. D, 78, p. 104018. , PRVDAQ 1550-7998 10.1103/PhysRevD.78.104018
  • Banerjee, R., Majhi, B., Vagenas, E., (2010) Phys. Lett. B, 686, p. 279. , PYLBAJ 0370-2693 10.1016/j.physletb.2010.02.067
  • Lopez-Ortega, A., (2009) Phys. Lett. B, 682, p. 85. , PYLBAJ 0370-2693 10.1016/j.physletb.2009.10.091
  • Setare, M., Momeni, D., (2011) Mod. Phys. Lett. A, 26, p. 151. , MPLAEQ 0217-7323 10.1142/S0217732311034700
  • Majhi, B., (2010) Phys. Lett. B, 686, p. 49. , PYLBAJ 0370-2693 10.1016/j.physletb.2010.02.033
  • Kwon, Y., Nam, S., (2010) Classical Quantum Gravity, 27, p. 125007. , CQGRDG 0264-9381 10.1088/0264-9381/27/12/125007
  • Myung, Y.S., (2010) Phys. Lett. B, 689, p. 42. , PYLBAJ 0370-2693 10.1016/j.physletb.2010.04.041
  • Wei, S.W., Liu, Y.X., Yang, K., Zhong, Y., (2010) Phys. Rev. D, 81, p. 104042. , PRVDAQ 1550-7998 10.1103/PhysRevD.81.104042
  • Setare, M.R., (2004) Classical Quantum Gravity, 21, p. 1453. , CQGRDG 0264-9381 10.1088/0264-9381/21/6/012
  • Setare, M.R., Area spectrum of extremal Reissner-Nordström black holes from quasinormal modes (2004) Physical Review D, 69 (4), p. 044016. , DOI 10.1103/PhysRevD.69.044016
  • Ayón-Beato, E., Garbarz, A., Giribet, G., Hassaïne, M., (2009) Phys. Rev. D, 80, p. 104029. , PRVDAQ 1550-7998 10.1103/PhysRevD.80.104029
  • Nakasone, M., Oda, I., (2009) Prog. Theor. Phys., 121, p. 1389. , PTPKAV 0033-068X 10.1143/PTP.121.1389
  • Deser, S., (2009) Phys. Rev. Lett., 103, p. 101302. , PRLTAO 0031-9007 10.1103/PhysRevLett.103.101302
  • Oda, I., J. High Energy Phys., 2009 (5), p. 064. , JHEPFG 1029-8479 10.1088/1126-6708/2009/05/064
  • Bergshoeff, E., Hohm, O., Townsend, P., (2009) Phys. Rev. Lett., 102, p. 201301. , PRLTAO 0031-9007 10.1103/PhysRevLett.102.201301
  • Bergshoeff, E., Hohm, O., Townsend, P., (2009) Phys. Rev. D, 79, p. 124042. , PRVDAQ 1550-7998 10.1103/PhysRevD.79.124042
  • Clement, G., (2009) Classical Quantum Gravity, 26, p. 105015. , CQGRDG 0264-9381 10.1088/0264-9381/26/10/105015
  • Oliva, J., Tempo, D., Troncoso, R., J. High Energy Phys., 2009 (7), p. 011. , JHEPFG 1029-8479 10.1088/1126-6708/2009/07/011
  • Giribet, G., Oliva, J., Tempo, D., Troncoso, R., (2009) Phys. Rev. D, 80, p. 124046. , PRVDAQ 1550-7998 10.1103/PhysRevD.80.124046
  • Ghodsi, A., Moghadassi, M., (2011) Phys. Lett. B, 695, p. 359. , PYLBAJ 0370-2693 10.1016/j.physletb.2010.11.023
  • Kwon, Y., Nam, S., Park, J.D., Yi, S.H., (2011) Classical Quantum Gravity, 28, p. 145006. , CQGRDG 0264-9381 10.1088/0264-9381/28/14/145006
  • Kachru, S., Liu, X., Mulligan, M., (2008) Phys. Rev. D, 78, p. 106005. , PRVDAQ 1550-7998 10.1103/PhysRevD.78.106005
  • Azeyanagi, T., Li, W., Takayanagi, T., J. High Energy Phys., 2009 (6), p. 084. , JHEPFG 1029-8479 10.1088/1126-6708/2009/06/084
  • Mann, R., J. High Energy Phys., 2009 (6), p. 075. , JHEPFG 1029-8479 10.1088/1126-6708/2009/06/075
  • Bertoldi, G., Burrington, B., Peet, A., (2009) Phys. Rev. D, 80, p. 126003. , PRVDAQ 1550-7998 10.1103/PhysRevD.80.126003
  • Danielsson, U., Thorlacius, L., J. High Energy Phys., 2009 (3), p. 070. , JHEPFG 1029-8479 10.1088/1126-6708/2009/03/070
  • Balasubramanian, K., McGreevy, J., (2009) Phys. Rev. D, 80, p. 104039. , PRVDAQ 1550-7998 10.1103/PhysRevD.80.104039
  • Finster, F., Smoller, J., Yau, S.-T., (1999) Phys. Rev. D, 59, p. 104020. , PRVDAQ 0556-2821 10.1103/PhysRevD.59.104020
  • Finster, F., Kamaran, N., Smoller, J., Yau, S.-T., (2003) Adv. Theor. Math. Phys., 7, p. 1. , 1095-0761
  • Cho, H.T., Cornell, A.S., Doukas, J., Naylor, W., (2007) Phys. Rev. D, 75, p. 104005. , PRVDAQ 1550-7998 10.1103/PhysRevD.75.104005
  • Cho, H.T., Dirac quasinormal modes in Schwarzschild black hole spacetimes (2003) Physical Review D, 68 (2), p. 024003. , DOI 10.1103/PhysRevD.68.024003
  • Jing, J., (2005) Phys. Rev. D, 71, p. 124006. , PRVDAQ 1550-7998 10.1103/PhysRevD.71.124006
  • Piedra, O.P.F., De Oliveira, J., (2011) Classical Quantum Gravity, 28, p. 085023. , CQGRDG 0264-9381 10.1088/0264-9381/28/8/085023
  • Kazakov, A.Ya., The central two-point connection problem for the reduced confluent Heun equation (2006) Journal of Physics A: Mathematical and General, 39 (10), pp. 2339-2348. , DOI 10.1088/0305-4470/39/10/007, PII S0305447006038297
  • Cardoso, V., Lemos, J.P.S., Scalar, electromagnetic, and Weyl perturbations of BTZ black holes: Quasinormal modes (2001) Physical Review D, 63 (12), p. 124015. , DOI 10.1103/PhysRevD.63.124015
  • Abdalla, E., Pellicer, C.E., De Oliveira, J., Pavan, A.B., (2010) Phys. Rev. D, 82, p. 124033. , PRVDAQ 1550-7998 10.1103/PhysRevD.82.124033
  • Morgan, J., Cardoso, V., Miranda, A.S., Molina, C., Zanchin, V.T., J. High Energy Phys., 2009 (9), p. 117. , JHEPFG 1029-8479 10.1088/1126-6708/2009/09/117
  • Myung, Y.S., Kim, Y.W., Park, Y.J., (2010) Eur. Phys. J. C, 70, p. 335. , EPCFFB 1434-6044 10.1140/epjc/s10052-010-1460-x
  • Kothawala, D., Padmanabhan, T., Sarkar, S., (2008) Phys. Rev. D, 78, p. 104018. , PRVDAQ 1550-7998 10.1103/PhysRevD.78.104018
  • Abdalla, E., Correa-Borbonet, L.A., Aspects of higher order gravity and holography (2002) Physical Review D, 65 (12), p. 124011. , DOI 10.1103/PhysRevD.65.124011
  • Abdalla, E., Correa-Borbonet, L.A., (2001) Mod. Phys. Lett. A, 16, p. 2495. , MPLAEQ 0217-7323 10.1142/S0217732301004960
  • Cai, R.-G., Liu, Y., Sun, Y.-W., J. High Energy Phys., 2009 (10), p. 080. , JHEPFG 1029-8479 10.1088/1126-6708/2009/10/080
  • Hohm, O., Tonni, E., J. High Energy Phys., 2010 (4), p. 093. , JHEPFG 1029-8479 10.1007/JHEP04(2010)093
  • Gonzalez, H., Tempo, D., Troncoso, R., J. High Energy Phys., 2011 (11), p. 066. , JHEPFG 1029-8479 10.1007/JHEP11(2011)066
  • Abdalla, E., De Oliveira, J., Lima-Santos, A., Pavan, A.B., arXiv:1108.6283; Myung, Y.S., Kim, Y.-W., Moon, T., Park, Y.-J., (2011) Phys. Rev. D, 84, p. 024044. , PRVDAQ 1550-7998 10.1103/PhysRevD.84.024044

Citas:

---------- APA ----------
Cuadros-Melgar, B., De Oliveira, J. & Pellicer, C.E. (2012) . Stability analysis and area spectrum of three-dimensional Lifshitz black holes. Physical Review D - Particles, Fields, Gravitation and Cosmology, 85(2).
http://dx.doi.org/10.1103/PhysRevD.85.024014
---------- CHICAGO ----------
Cuadros-Melgar, B., De Oliveira, J., Pellicer, C.E. "Stability analysis and area spectrum of three-dimensional Lifshitz black holes" . Physical Review D - Particles, Fields, Gravitation and Cosmology 85, no. 2 (2012).
http://dx.doi.org/10.1103/PhysRevD.85.024014
---------- MLA ----------
Cuadros-Melgar, B., De Oliveira, J., Pellicer, C.E. "Stability analysis and area spectrum of three-dimensional Lifshitz black holes" . Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 85, no. 2, 2012.
http://dx.doi.org/10.1103/PhysRevD.85.024014
---------- VANCOUVER ----------
Cuadros-Melgar, B., De Oliveira, J., Pellicer, C.E. Stability analysis and area spectrum of three-dimensional Lifshitz black holes. Phys Rev D Part Fields Gravit Cosmol. 2012;85(2).
http://dx.doi.org/10.1103/PhysRevD.85.024014