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Quasi normal modes and P-V criticallity for scalar perturbations in a class of dRGT massive gravity around black holes

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Abstract

We investigate black holes in a class of dRGT massive gravity for their quasi normal modes (QNMs) for neutral and charged ones using Improved Asymptotic Iteration Method and their thermodynamic behavior. The QNMs are studied for different values of the massive parameter \(m_g\) for both neutral and charged dRGT black holes under a massless scalar perturbation. As \(m_g\) increases, the magnitude of the quasi normal frequencies are found to be increasing. The results are also compared with the Schwarzchild de Sitter case. P-V criticallity of the aforesaid black hoels under massles scalar perturbation in the de Sitter space are also studied in this paper. It is found that the thermodynamic behavior of a neutral black hole shows no physically feasible phase transition while a charged black hole shows a definite phase transition.

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Acknowledgments

The authors would like to thank the reviewers for their valuable suggestions. One of us (PP) would like to thank UGC, New Delhi for financial support through the award of a Junior Research Fellowship (JRF) during 2010–12 and SRF during 2012–13. VCK would like to acknowledge Associateship of IUCAA, Pune.

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  1. Department of Physics, Cochin University of Science and Technology, Cochin, 682022, India

    P. Prasia & V. C. Kuriakose

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  1. P. Prasia
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Prasia, P., Kuriakose, V.C. Quasi normal modes and P-V criticallity for scalar perturbations in a class of dRGT massive gravity around black holes. Gen Relativ Gravit 48, 89 (2016). https://doi.org/10.1007/s10714-016-2083-9

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