Spectroscopy via adiabatic covariant action for the Bañados—Teitelboim—Zanelli (BTZ) black hole

Li, Hui-Ling; Lin, R. T.; Cheng, Liang

doi:10.1088/1674-1056/22/5/050402

“…The constant leading term in (22) agrees with that found in [25,26], and moreover we observe the nontermal correction depends on Γ and γ in general.…”

supporting

confidence: 87%

“…• For a BTZ black hole in three dimensions [33,34], the area spectrum has been discussed in [35,36] and the tunneling rate was discussed in [37]. We begin with the metric…”

Section: Nonthermal Correction For Various Black Holesmentioning

confidence: 99%

Nonthermal correction to black hole spectroscopy

Wen

¹

2015

View full text Add to dashboard Cite

Area spectrum of black holes has been obtained via various methods such as quasinormal modes, adiabatic invariance and angular momentum. Among those methods, calculations were done by assuming black holes in thermal equilibrium. Nevertheless, black holes in the asymptotically flat space usually have a negative specific heat and therefore tend to stay away from thermal equilibrium. Even for black holes with a positive specific heat, the temperature may still not be well defined in the process of radiation, due to the back reaction of a decreasing mass. With respect to these facts, it is very likely that Hawking radiation is nonthermal and the area spectrum is no longer equidistant. In this note, we would like to illustrate how the area spectrum of black holes is corrected by this nonthermal effect. Area law and logarithmic correctionA finite size system often displays a discrete energy spectrum as regards quantum fluctuations. It was suggested that since the dynamics of a black hole is uniquely determined by its charge(s), which is closely related to the finite region enclosed by the horizon, one expects the mass or area spectrum to display a similar discreteness [1,2]. There were many proposals to obtain the area spectrum for various black holes since then. Earlier methods of quantizing the horizon area are mostly based on real or imaginary parts of the quasinormal modes [3][4][5][6][7][8][9][10][11][12]. Recently the application of an adiabatic invariant action variable did not use the quasinormal modes [13,14] and the idea of quantizing the angular momentum to obtain the area spectrum first appeared in the study of non-extremal RN black holes [15]. The various methods of quantization have settled on a spectrum of equidistant discreteness,a

show abstract

“…Employing the Hamiltonian H of the system, which is the total energy of the black hole, and corresponding Hamiltonian's equations, for ordinary rotating BTZ black hole, the adiabatic covariant action can be expressed as [50,51] According to Eq. (2.24), the area spectrum is not quantized because of the existence of r − .…”

Section: Entropy Spectrum and The Area Spectrum Of The Btz Black Holementioning

confidence: 99%

Phase transition and entropy spectrum of the BTZ black hole with torsion

Ma

¹

,

Zhao

²

2014

View full text Add to dashboard Cite

In this paper, we study the phase transition and the entropy spectrum of BTZ black hole obtained in a model of three-dimensional gravity with torsion. By calculating the heat capacity we find that the BTZ black hole we considered will experience phase transition at some critical point. This indicates that the critical behaviors of black holes do not only depend on the spacetime metric, but have to do with the theory of gravity under consideration. In addition we derived the entropy spectrum of the BTZ black hole according to the quasinormal modes(QNMs) and the adiabatic invariance. It shows that the area or entropy spectrum will also rely on the concrete gravitational action.

show abstract

“…Employing the Hamiltonian H of the system, which is the total energy of the black hole, and corresponding Hamiltonian's equations, for ordinary rotating BTZ black hole, the adiabatic covariant action can be expressed as [50,51]…”

Section: Entropy Spectrum and The Area Spectrum Of The Btz Black Holementioning

confidence: 99%

Phase transition and entropy spectrum of BTZ black hole in three-dimensional gravity with torsion

Ma,

Zhao

2013

Preprint

View full text Add to dashboard Cite

In this paper, we study the phase transition and the entropy spectrum of BTZ black hole obtained in a model of three-dimensional gravity with torsion. By calculating the heat capacity we find that the BTZ black hole we considered will experience phase transition at some critical point. This indicates that the critical behaviors of black holes do not only depend on the spacetime metric, but have to do with the theory of gravity under consideration. In addition we derived the entropy spectrum of the BTZ black hole according to the quasinormal modes(QNMs) and the adiabatic invariance. It shows that the area or entropy spectrum will also rely on the concrete gravitational action.

show abstract

Spectroscopy via adiabatic covariant action for the Bañados—Teitelboim—Zanelli (BTZ) black hole

Cited by 7 publications

References 57 publications

Nonthermal correction to black hole spectroscopy

Nonthermal correction to black hole spectroscopy

Phase transition and entropy spectrum of the BTZ black hole with torsion

Phase transition and entropy spectrum of BTZ black hole in three-dimensional gravity with torsion

Contact Info

Product

Resources

About