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During the last years, one had to combine the proposal about how quasinormal frequencies are related with black holes and the proposal about the adiabatic invariance of black holes in order to derive the quantized entropy spectrum and its…

General Relativity and Quantum Cosmology · Physics 2011-07-13 Bibhas Ranjan Majhi , Elias C. Vagenas

The spectroscopy of the apparent horizon of Vaidya black holes is investigated via adiabatic invariance. We obtain an equally spaced entropy spectrum with its quantum equal to the one given by Bekenstein. We demonstrate that the…

General Relativity and Quantum Cosmology · Physics 2016-03-16 Ge-Rui Chen , Yong-Chang Huang

According to Bohr-Sommerfeld quantization rule, an equally spaced horizon area spectrum of a static, spherically symmetric black hole was obtained under an adiabatic invariant action. This method can be extended to the rotating black holes.…

General Relativity and Quantum Cosmology · Physics 2012-07-25 Xian-Ming Liu , Xiao-Xiong Zeng , Wen-Biao Liu

Using the quasi-normal modes frequency of near extremal Schwarzschild-de Sitter black holes, we obtain area and entropy spectrum for black hole horizon. By using Boher-Sommerfeld quantization for an adiabatic invariant $I=\int {dE\over…

High Energy Physics - Theory · Physics 2009-11-10 M R Setare

Using adiabatic invariance and the Bohr-Sommerfeld quantization rule we investigate the entropy spectroscopy of a charged black hole of heterotic string theory. It is shown that the entropy spectrum is equally spaced identically to the…

General Relativity and Quantum Cosmology · Physics 2018-01-17 Alexis Larranaga , Luis Cabarique , Manuel Londono

The adiabatic invariant nature of black hole horizon area in classical gravity suggests that in quantum theory the corresponding operator has a discrete spectrum. I here develop further an algebraic approach to black hole quantization which…

High Energy Physics - Theory · Physics 2015-06-26 Jacob D. Bekenstein

The Bohr-Sommerfeld quantization rule is useful to study the area spectrum of black holes by employing adiabatic invariants. This method is extended to charged dilaton black holes in 2+1 dimensions. We put the background space-time into the…

General Relativity and Quantum Cosmology · Physics 2013-06-04 R. Tharanath , V. C. Kuriakose

I describe some examples in support of the conjecture that the horizon area of a near equilibrium black hole is an adiabatic invariant. These include a Schwarzschild black hole perturbed by quasistatic scalar fields (which may be minimally…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jacob D. Bekenstein

Some examples in support of the conjecture that the horizon area of a near equilibrium black hole is an adiabatic invariant are described. These clarify somewhat the conditions under which the conjecture would be true.

General Relativity and Quantum Cosmology · Physics 2009-10-31 Avraham E. Mayo

The entropy spectrum of a spherically symmetric black hole was derived via the Bohr-Sommerfeld quantization rule in Majhi and Vagenas's work. Extending this work to charged and rotating black holes, we quantize the horizon area and the…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Deyou Chen , Haitang Yang

The entropy spectrum of a spherically symmetric black hole was derived without the quasinormal modes in the work of Majhi and Vagenas. Extending this work to rotating black holes, we quantize the entropy and the horizon area of a Kerr…

General Relativity and Quantum Cosmology · Physics 2014-04-28 Deyou Chen , Haitang Yang

Using the adiabatic invariant action and applying Bohr-Sommerfeld quantization rule and first law of black hole thermodynamics a study of quantization of entropy and horizon area of Kerr-Newman-de Sitter black hole is carried out. The same…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Y. Kenedy Meitei , T. Ibungochouba Singh , I. Ablu Meitei

It has been argued by several authors that the quantum mechanical spectrum of black hole horizon area must be discrete. This has been confirmed in different formalisms, using different approaches. Here we concentrate on two approaches, the…

High Energy Physics - Theory · Physics 2009-11-07 Saurya Das , P. Ramadevi , U. A. Yajnik

In this paper, by using the quasi-normal frequencies for non-rotating BTZ black hole derived by Cardos and Lemos, also via Bohr-Sommerfeld quantization for an adiabatic invariant, $I=\int {dE\over \omega(E)}$, which $E$ is the energy of…

High Energy Physics - Theory · Physics 2009-11-10 M. R. Setare

Following Bekenstein's suggestion that the horizon area of a black hole should be quantized, the discrete spectrum of the horizon area has been investigated in various ways. By considering the quasinormal mode of a black hole, we obtain the…

High Energy Physics - Theory · Physics 2015-05-18 Yongjoon Kwon , Soonkeon Nam

We quantize the spherically symmetric sector of generic charged black holes. Thermal properties are encorporated by imposing periodicity in Euclidean time, with period equal to the inverse Hawking temperature of the black hole. This leads…

High Energy Physics - Theory · Physics 2010-11-19 Andrei Barvinsky , Saurya Das , Gabor Kunstatter

In transforming from Schwarzschild to Euclidean Rindler coordinates the Schwarzschild time transforms to a periodic angle. As is well-known, this allows one to introduce the Hawking temperature and is an origin of black hole thermodynamics.…

General Relativity and Quantum Cosmology · Physics 2009-09-01 Kostyantyn Ropotenko

Conformal invariance can ameliorate or eliminate the singularities residing in the black holes, and may still exist in the strong gravity regimes close to these black holes. In this paper, we try to probe this conformal invariance by…

General Relativity and Quantum Cosmology · Physics 2020-06-09 Rui-Hui Lin , Rui Jiang , Yang Huang , Xiang-Hua Zhai

When a classical black hole is perturbed, its relaxation is governed by a set of quasinormal modes with complex frequencies \omega= \omega_R+i\omega_I. We show that this behavior is the same as that of a collection of damped harmonic…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Michele Maggiore

Quantum fluctuations of the spacetime metric induce an uncertainty in the horizon area of a black hole. Working in linearized quantum gravity, we derive the variance in the area of a four-dimensional Schwarzschild black hole from the…

High Energy Physics - Theory · Physics 2025-08-05 Maulik Parikh , Jude Pereira
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