Abstract
We study the modes of evolution of massless scalar fields in the asymptotically AdS spacetime surrounding maximally symmetric black holes of large and intermediate size in the Lovelock model. It is observed that all modes are purely damped at higher orders. Also, the rate of damping is seen to be independent of order at higher dimensions. The asymptotic form of these frequencies for the case of large black holes is found analytically. Finally, the area spectrum for such black holes is found from these asymptotic modes.
Similar content being viewed by others
References
Maldacena, J.: Adv. Theory Math. Phys. 2, 231 (1998)
Gregory, R., Laflamme, R.: Phys. Rev. Lett. 70, 2837 (1993)
Dotti, G., Gleiser, R.J.: Phys. Rev. D 72, 044018 (2005)
Dotti, G., Gleiser, R.J.: Phys. Rev. D. 72, 124002 (2005)
Hawking, S.W., Page, D.N.: Commun. Math. Phys. 87, 577 (1983)
Takahashi, T., Soda, J.: Prog. Theory Phys. 124, 711–729 (2010)
Takahashi, T., Soda, J.: Phys. Rev. D. 79, 104025 (2009)
Takahashi, T., Soda, J.: Phys. Rev. D. 80, 104021 (2009)
Berti, E., Cardoso, V., Starinets, A.O.: Class. Quantum Grav. 26, 163001 (2009)
Nollert, H.P.: Class. Quantum Grav. 16, R159 (2009)
Kokkotas, K.D., Schmidt, B.: Living Rev. Relativ. 2, 2 (1999)
Konoplya, R.A., Zhidenko, A.: Rev. Mod. Phys. 83, 793 (2011)
Konoplya, R.A.: Phys. Rev. D. 66, 044009 (2002)
Cho, H.T. et al.: Advances in mathematical physics Volume 2012, Article ID 281705
Horowitz, G.T., Hubeny, V.E.: Phys. Rev. D. 62, 024027 (2000)
Bekenstein, J.D.: Lett. Nuovo Cimento Soc. Ital. Fis. 11, 467 (1974)
Hod, S.: Phys. Rev. Lett. 81, 4293 (1998)
Dreyer, O.: Phys. Rev. Lett. 90, 081301 (2003)
Maggiore, M.: Phys. Rev. Lett. 100, 141301 (2008)
Ryu, S., Takayanagi, T.: Phys. Rev. Lett. 96, 181602 (2006)
Ryu, S., Takayanagi, T.: JHEP 07, 62 (2007)
Ryu, S., Takayanagi, T., Nishioka, T.: J. Phys. A. Math. Theory 42, 504008 (2009)
Takayanagi, T.: Class. Quantum Grav. 29, 153001 (2009)
Dey, P., Roy, S.: Phys. Rev. D. 87, 066001 (2013)
Ryu, S., Takayanagi, T.: JHEP 08, 045 (2006)
Crisostomo, J., Troncoso, R., Zanelli, J.: Phys. Rev. D. 62, 084013 (2000)
Musiri, S., Siopsis, G.: Phys. Lett. B. 576, 309–313 (2003)
Kunstatter, G.: Phys. Rev. Lett. 90, 161301 (2003)
Lovelock, D.: J. Math. Phys. (N. Y.) 12, 498 (1971)
Wheeler, J.T.: Nucl. Phys. B268, 737 (1986)
Gonzalez, Pablo, et al.: JHEP 1008, 050 (2010)
Acknowledgments
The authors would like to acknowledge financial assistance from the Council of Scientific and Industrial Research (CSIR), India during the work under the CSIR Emeritus Scientistship Scheme sanctioned to one of the authors (VCK). VCK would also like to acknowledge Associateship of IUCAA, Pune, India.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Prasobh, C.B., Kuriakose, V.C. Scalar filed evolution and area spectrum for Lovelock-AdS black holes. Gen Relativ Gravit 45, 2441–2456 (2013). https://doi.org/10.1007/s10714-013-1595-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10714-013-1595-9