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Lyapunov Exponents and Phase Structure of Lifshitz and Hyperscaling Violating Black Holes

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arxiv 2401.05181 v2 pith:4IXATIKK submitted 2024-01-10 gr-qc hep-th

A. Naveena Kumara , Shreyas Punacha , Md Sabir Ali This is my paper
classification gr-qchep-th
keywords blacklyapunovexponentphaseholehyperscalingexponentslifshitz
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abstract

We study the phase structure of hyperscaling violating black holes using Lyapunov exponents. For describing hyperscaling violating system, we chose a particular gravity model constructed from generalized Einstein-Maxwell-Dilaton action which includes the Lifshitz cases in appropriate limit. We study the relationship between Lyapunov exponents and black hole phase transitions considering both the timelike and null geodesics. We observe that, the black hole phase transiton properties are reflected in Lyapunov exponent where its multiple branches correspond to the distinct phases of the black hole. The discontinuos change of the Lyapunov exponent during the phase transition serve as an order parameter with critical exponent $1/2$ near the critical point. Our numerical study reveals that the correlation between the Lyapunov exponent and black hole thermodynamic properties can be generalised beyond the AdS spacetime. We find that it is independent of the hyperscaling violation parameter as well as the Lifshitz exponent.

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Cited by 5 Pith papers

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