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Scalar filed evolution and area spectrum for Lovelock-AdS black holes

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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.

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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.

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Correspondence to C. B. Prasobh.

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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

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  • DOI: https://doi.org/10.1007/s10714-013-1595-9

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