Thermodynamics of black holes in the deformed Hořava–Lifshitz gravity

Myung, Yun Soo

doi:10.1016/j.physletb.2009.06.013

Cited by 130 publications

(90 citation statements)

References 9 publications

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“…For the metric (6), as discussed by Myung [128,129], a compact expression of the entropy in the context of HL gravity is presented thus:…”

Section: Adiabatic Invariant In the Schwarzschild Coordinatementioning

confidence: 99%

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Quantum tunneling, adiabatic invariance and black hole spectroscopy

Jiang

et al. 2017

Eur. Phys. J. C

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In the tunneling framework, one of us, Jiang, together with Han has studied the black hole spectroscopy via adiabatic invariance, where the adiabatic invariant quantity has been intriguingly obtained by investigating the oscillating velocity of the black hole horizon. In this paper, we attempt to improve Jiang-Han's proposal in two ways. Firstly, we once again examine the fact that, in different types (Schwarzschild and Painlevé) of coordinates as well as in different gravity frames, the adiabatic invariant I adia = p i dq i introduced by Jiang and Han is canonically invariant. Secondly, we attempt to confirm Jiang-Han's proposal reasonably in more general gravity frames (including Einstein's gravity, EGB gravity and HL gravity). Concurrently, for improving this proposal, we interestingly find in more general gravity theories that the entropy of the black hole is an adiabatic invariant action variable, but the horizon area is only an adiabatic invariant. In this sense, we emphasize the concept that the quantum of the black hole entropy is more natural than that of the horizon area.

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“…For the metric (6), as discussed by Myung [128,129], a compact expression of the entropy in the context of HL gravity is presented thus:…”

Section: Adiabatic Invariant In the Schwarzschild Coordinatementioning

confidence: 99%

“…Here, the logarithmic term that has been discussed in detail in [128,129] is a small correction to the spacing of the area spectrum, which represents the feature of the HL gravity.…”

Section: Black Hole Spectroscopy In Hl Gravitymentioning

confidence: 99%

Quantum tunneling, adiabatic invariance and black hole spectroscopy

Jiang

et al. 2017

Eur. Phys. J. C

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“…Recently its black hole solution and thermodynamics have been intensively investigated [28,[33][34][35][36][38][39][40][41][42][43][44][45][46][47]. By introducing a dynamical parameter Λ in asymptotically AdS 4 spacetime, a spherically symmetric black hole solution was first given by Lu et al [28].…”

Section: Jhep01(2015)019mentioning

confidence: 99%

A unified thermodynamic picture of Hořava-Lifshitz black hole in arbitrary space time

Suresh

Tharanath

Kuriakose

2015

J. High Energ. Phys.

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Abstract:In this paper, we analyze the complete thermodynamic and phase transition phenomena of a black hole solution in Hořava-Lifshitz gravity in arbitrary space time. Nature of phase transition is studied using geometrothermodynamic and Ehrenfest's scheme of standard thermodynamics. We analytically check the Ehrenfest's equations near the critical point, which is the point of divergence in the heat capacity. Our analysis revels that this black hole exhibits a second order phase transition.

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“…M ≥ α to avoid the naked singularity, and M = α is the extremity condition. Some associated properties of the black hole (7) have been investigated in [27][28][29][30][31][32][33]. In this paper, our main purpose is to discuss the effect of the scalar field mass on the quasinormal modes of the deformed Hořava-Lifshitz black hole.…”

Section: Metric and Massive Scalar Field Perturbationmentioning

confidence: 99%

Massive scalar field quasinormal modes of a black hole in the deformed Hořava-Lifshitz gravity

Wang¹,

Gao²

2011

Open Physics

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Ê Ú ¿¼ ÂÙÒ ¾¼½½ ÔØ ½¿ ÇØÓ Ö ¾¼½½ ×ØÖ ØWe calculated the quasinormal modes of massive scalar field of a black hole in the deformed Hořava-Lifshitz gravity with coupling constant λ = 1, using the third-order WKB approximation. Our results show that when the scalar field mass increases, the oscillation frequency increases while the damping decreases. And we find that the imaginary parts are almost linearly related to the real parts, the behaviors are very similar to that in the Reissner-Nordström black hole spacetime. These information will help us understand more about the Hořava-Lifshitz gravity.

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Thermodynamics of black holes in the deformed Hořava–Lifshitz gravity

Cited by 130 publications

References 9 publications

Quantum tunneling, adiabatic invariance and black hole spectroscopy

Quantum tunneling, adiabatic invariance and black hole spectroscopy

A unified thermodynamic picture of Hořava-Lifshitz black hole in arbitrary space time

Massive scalar field quasinormal modes of a black hole in the deformed Hořava-Lifshitz gravity

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