Hawking radiation via gravitational anomalies in nonspherical topologies

Papantonopoulos, Eleftherios; Skamagoulis, Petros

doi:10.1103/physrevd.79.084022

Cited by 26 publications

(27 citation statements)

References 42 publications

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“…Using such a method, Hawking radiation of a black hole can be derived from the near horizon twodimensional chiral field theory of a black hole. Such a method has been widely used for the Hawking radiation of many different kinds of black holes [9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35]. In this paper, we have studied the Hawking radiation of rotating D-branes of superstring theories [36,37,38,39] from the…”

Section: Resultsmentioning

confidence: 99%

“…Then, people have applied such a method for the study of Hawking radiation of many different kinds of black holes [12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31]. In [32], to combine the techniques of conformal field theory, the anomaly cancellation method for the radiation of a black hole has been generalized to the radiation of higher-spin currents.…”

Section: Introductionmentioning

confidence: 99%

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Ze¹

2011

Acta Phys. Pol. B

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We apply the method of anomaly cancellation initiated by Robinson and Wilczek et al. to the Hawking radiation of rotating D-brane solutions of superstring theories. We obtain that their reduced field theories near their horizons are two-dimensional chiral field theories in a set of curved backgrounds. Therefore, we can calculate their angular momentum fluxes and energy-momentum fluxes from the method of anomaly cancellation. We obtain that the energy-momentum fluxes of the rotating D-branes compose thermal radiations, their thermal temperatures match with their Hawking temperatures obtained from black brane thermodynamics.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Untitled

Ze¹

2011

Acta Phys. Pol. B

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“…The 2D metric is obtained following the technique used in the anomaly approach of Hawking radiation proposed by Robinson and Wilczek in [9]. More detailed examples can be found in [14] - [19]. Generally, the dimensional reduction is implemented by integrating the action of a scalar field in the black hole background.…”

Section: Black Hole/liouville Theory Correspondence: a Reviewmentioning

confidence: 99%

Thermodynamics of Nonspherical Black Holes From Liouville Theory

Yuan

Huang

2012

Int. J. Mod. Phys. A

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Abstract. A Liouville formalism was proposed many years ago to account for the black hole entropy. It was recently updated to connect thermodynamics of general black holes, in particular the Hawking temperature, to two-dimensional Liouville theory. This relies on the dimensional reduction to two-dimensional black hole metric. The relevant dilaton gravity model can be rewritten as a Liouville-like theory. We refine the method and give general formulas for the corresponding scalar and energy-momentum tensors in Liouville theory. This enables us to read off the black hole temperature using a relation which was found about three decades ago. Then the range of application is extended to include nonspherical black holes such as neutral and charged black rings, topological black hole and the case coupled to a scalar field. As for the entropy, following previous authors, we invoke the Lagrangian approach to central charge by Cadoni and then use the Cardy formula. The general relevant parameters are also given. This approach is more advantageous than the usual Hamiltonian approach which was used by the old Liouville formalism for black hole entropy.

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“…According to the method of gravitational chiral anomalies, near the horizon the consistent and covariant anomaly equations are given by (2) and (11), respectively. These equations can be rewritten in the following suggestive form [20]…”

Section: A New Approach Based On An Effective Theory Of Gravity mentioning

confidence: 99%

Hawking radiation, chirality, and the principle of effective theory of gravity

Zampeli¹,

Singleton²,

Vagenas³

2012

J. High Energ. Phys.

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In this paper we combine the chirality of field theories in near horizon regions with the principle of effective theory of gravity to define a new energy-momentum tensor for the theory. This new energy-momentum tensor has the correct radiation flux to account for Hawking radiation for spacetimes with horizons. This method is connected to the chiral anomaly cancellation method, but it works for space-times for which the chiral anomaly cancellation method fails. In particular the method presented here works for the non-asymptotically flat de Sitter space-time and its associated Hawking-Gibbons radiation, as well as Rindler space-time and its associated Unruh radiation. This indicates that it is the chiral nature of the field theory in the near horizon regions which is of primary importance rather than the chiral anomaly. * email: a.zampeli@uleth.ca †

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Hawking radiation via gravitational anomalies in nonspherical topologies

Abstract: We study the method of calculating the Hawking radiation via gravitational anomalies in gravitational backgrounds of constant negative curvature. We apply the method to topological black holes and also to topological black holes conformally coupled to a scalar field. *

Cited by 26 publications

References 42 publications

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Thermodynamics of Nonspherical Black Holes From Liouville Theory

Hawking radiation, chirality, and the principle of effective theory of gravity

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