Thermodynamical and dynamical properties of charged BTZ black holes

Tang, Zi-Yu; Zhang, Cheng-Yong; Zangeneh, M. Kord; Wang, Bin; Saavedra, Joel

doi:10.1140/epjc/s10052-017-4966-7

Cited by 17 publications

(12 citation statements)

References 51 publications

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“…The study of geodesics in a (2+1)-dimensional charged BTZ BH conveying important information on the spacetime geometry has been investigated [7]. Tang.et.al [20] have widely studied the thermodynamical and dynamical properties of charged BTZ BHs. The Quasi-Normal Modes (QNMs) under massless scalar field perturbations and the thermodynamics of linearly charged BTZ BHs in massive gravity around the anti-de Sitter (AdS) spacetime have been analyzed by Prasia.et.al [21].…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of circular orbits around a charged BTZ black hole spacetime in a nonlinear electrodynamics model via Lyapunov exponents

Giri,

Nandan,

Joshi

et al. 2021

Preprint

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We investigate the existence and stability of both the timelike and null circular orbits for a (2+1) dimensional charged BTZ black hole in Einstein-nonlinear Maxwell gravity with a negative cosmological constant. The stability analysis of orbits are performed to study the possibility of chaos in geodesic motion for a special case of black hole so-called conformally invariant Maxwell spacetime. The computations of both proper time Lyapunov exponent (λp) and coordinate time Lyapunov exponent (λc) are useful to determine the stability of these circular orbits. We observe the behavior of the ratio (λp/λc) as a function of radius of circular orbits for the timelike case in view of different values of charge parameter. However, for the null case, we calculate only the coordinate time Lyapunov exponent (λc) as there is no proper time for massless test particles.More specifically, we further analyze the behavior of the ratio of λ Null to angular frequency (Ωc), so-called instability exponent as a function of charge (q) and parameter related to cosmological constant (l) for the particular values of other parameters.

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Section: Introductionmentioning

confidence: 99%

Stability analysis of circular orbits around a charged BTZ black hole spacetime in a nonlinear electrodynamics model via Lyapunov exponents

Giri,

Nandan,

Joshi

et al. 2021

Preprint

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“…BTZ black holes provide good tools for handling some conceptual questions in the context of AdS/CFT correspondence, quantum gravity, string theory models and gauge field theory [77,78]. In the context of classical gravity, BTZ black holes have been studied in the presence of other gauge fields such as Maxwell and power Maxwell fields [79][80][81], Born-Infeld theory [82][83][84][85][86] and other nonlinear electrodynamics [87][88][89], and also massive gravity [90], gravity's rainbow [91], massive gravity's rainbow [92] and dilaton field [81,93,94]. Also higher dimensional black hole solutions with BTZ analogy (BTZ like black holes) have been investigated in Refs.…”

Section: Introductionmentioning

confidence: 99%

Simulation of geodesic trajectory of charged BTZ black holes in massive gravity

et al. 2020

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In order to classify and understand structure of the spacetime, investigation of the geodesic motions of massive and massless particles is a key tool. So the geodesic equation is a central equation of gravitating systems and the subject of geodesics in the black hole dictionary attracted much attention. In this paper, we give a full description of geodesic motions in three-dimensional spacetime. We investigate the geodesics near charged BTZ black holes and then generalize our prescriptions to the case of massive gravity. We show that electric charge is a critical parameter for categorizing the geodesic motions of both lightlike and timelike particles. In addition, we classify the type of geodesics based on the particle properties and geometry of spacetime.

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Section: Introductionmentioning

confidence: 99%

Simulation of geodesic trajectory of charged BTZ black holes in massive gravity

Hendi,

Tavakkoli,

Panahiyan

et al. 2020

Preprint

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Thermodynamical and dynamical properties of charged BTZ black holes

Cited by 17 publications

References 51 publications

Stability analysis of circular orbits around a charged BTZ black hole spacetime in a nonlinear electrodynamics model via Lyapunov exponents

Stability analysis of circular orbits around a charged BTZ black hole spacetime in a nonlinear electrodynamics model via Lyapunov exponents

Simulation of geodesic trajectory of charged BTZ black holes in massive gravity

Simulation of geodesic trajectory of charged BTZ black holes in massive gravity

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