Lyapunov exponents and phase structure of Lifshitz and hyperscaling violating black holes

Naveena Kumara, A.; Punacha, Shreyas; Ali, Md Sabir (2024) Lyapunov exponents and phase structure of Lifshitz and hyperscaling violating black holes. Journal of Cosmology and Astroparticle Physics, 2024 (07). ISSN 1475-7516

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Abstract

We study the phase structure of Lifshitz and hyperscaling violating (HSV) 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 at appropriate limits. 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 HSV parameter as well as the Lifshitz exponent.

Item Type:	Article
Uncontrolled Keywords:	exact solutions; black holes and black hole thermodynamics in GR and beyond; GR black holes; gravity; modified gravity
Subjects:	NATURAL SCIENCES > Physics > Physics of Elementary Particles and Fields
Divisions:	Theoretical Physics Division
Depositing User:	Ema Buhin Šaler
Date Deposited:	20 Apr 2026 08:22
URI:	https://fulir.irb.hr:/id/eprint/11760
DOI:	10.1088/1475-7516/2024/07/061

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