Anomalies, effective action and Hawking temperatures of a Schwarzschild black hole in the isotropic coordinates

Abstract

Motivated by the universality of Hawking radiation and that of the anomaly cancellation technique as well as that of the effective action method, we investigate the Hawking radiation of a Schwarzschild black hole in the isotropic coordinates via the cancellation of gravitational anomaly. After performing a dimensional reduction from the four-dimensional isotropic Schwarzschild metric, we show that this reduction procedure will, in general, result in two classes of two-dimensional effective metrics: the conformal equivalent and the inequivalent ones. For the physically equivalent class, the two-dimensional effective metric displays such a distinct feature that the determinant is not equal to the unity ($\sqrt{-g}\ne 1$), but also vanishes at the horizon, the latter of which possibly invalidates the anomaly analysis there. ... This is an updated version to replace our e-print arXiv:0709.0044 [hep-th]. Abstract is too long to exceed the limit of 24 lines by arXiv.

arXiv comment26 pages. Published version, with references updated

References in corpus (42)

• Hawking Radiation as Tunneling
• D--branes and Spinning Black Holes
• Relationship between Hawking Radiation and Gravitational Anomalies
• Anomalies, Hawking Radiations and Regularity in Rotating Black Holes
• Hawking Radiation from Charged Black Holes via Gauge and Gravitational Anomalies
• Hawking Radiation from Rotating Black Holes and Gravitational Anomalies
• Hawking radiation from dilatonic black holes via anomalies
• Hawking radiation from rotating black holes in anti-de Sitter spaces via gauge and gravitational anomalies
• Hawking Radiation and Covariant Anomalies
• Hawking Radiation from General Kerr-(anti)de Sitter Black Holes
• Gauge and Gravitational Anomalies and Hawking Radiation of Rotating BTZ Black Holes
• Two-dimensional gravitational anomalies, Schwinger terms and dispersion relations
• Hawking Radiation, Effective Actions and Covariant Boundary Conditions
• On 4D-Hawing Radiation from Effective Action
• Quantum Anomalies at Horizon and Hawking Radiations in Myers-Perry Black Holes
• On One-loop Quantum Corrections to the Thermodynamics of Charged Black Holes
• Hawking radiation from (2+1)-dimensional BTZ black holes
• Vacuum polarization in Schwarzschild space-time by anomaly induced effective actions
• Gravitational Anomalies, Hawking Radiation, and Spherically Symmetric Black Holes
• Anomalies of the Achucarro-Ortiz black hole
• Anomalies and de Sitter radiation from the generic black holes in de Sitter spaces
• Hawking radiation from dilaton gravity in 1 + 1 dimensions: a pedagogical review
• Hawking radiation by effective two-dimensional theories
• Covariant anomalies and Hawking radiation from charged rotating black strings in anti-de Sitter spacetimes
• Energy-momentum tensor for scalar fields coupled to the dilaton in two dimensions
• Hawking radiation from black holes in de Sitter spaces
• Trace anomaly induced effective action for 2D and 4D dilaton coupled scalars
• Hawking Radiation from Non-Extremal D1-D5 Black Hole via Anomalies
• Hawking radiation in GHS and non-extremal D1-D5 blackhole via covariant anomalies
• On Hawking radiation from black rings
• Gravitational anomalies: a recipe for Hawking radiation
• Anomalies and Hawking radiation from the Reissner-Nordström black hole with a global monopole
• Anomaly Analysis of Hawking Radiation from Acoustic Black Hole
• 4D quantum black hole physics from 2D models?
• Hawking radiation of a vector field and gravitational anomalies
• Hawking radiation in GHS blackhole, Effective action and Covariant Boundary condition
• One-loop corrections for Schwarzschild black hole via 2D dilaton gravity
• Heterotic Standard Model Moduli
• On Gravitational anomaly and Hawking radiation near weakly isolated horizon
• Hawking Radiation of Black p-Branes from Gravitational Anomaly
• Gravitational Anomaly and Hawking Radiation of Brane World Black Holes
• Comment on "Hawking Radiation and Covariant Anomalies"

Cited by in corpus (18)

• Comments on anomaly versus WKB/tunneling methods for calculating Unruh radiation
• Hawking radiation of black holes in the $z=4$ Horava-Lifshitz gravity
• Hawking Radiation of Black Holes in Infrared Modified Hořava-Lifshitz Gravity
• Hawking radiation, W-infinity algebra and trace anomalies
• Hawking radiation from covariant anomalies in 2+1 dimensional black holes
• Hawking Fluxes, $W_{\infty }$ Algebra and Anomalies
• Hawking radiation via anomaly cancelation for the black holes of five-dimensional minimal gauged supergravity
• Hawking fluxes, Fermionic currents, W(1+infinity) algebra and anomalies
• Hawking Radiation, Gravitational Anomaly and Conformal Symmetry - the Origin of Universality -
• Entropy and Temperature From Black-Hole/Near-Horizon-CFT Duality
• Thermodynamics and Hawking radiation of five-dimensional rotating charged Gödel black holes
• A Near Horizon CFT Dual for Kerr-Newman-$AdS$
• Anomaly analysis of Hawking radiation from Kaluza-Klein black hole with squashed horizon
• Anomalies and Hawking fluxes from the black holes of topologically massive gravity
• Hawking Radiation of Fermionic Field and Anomaly in 2+1 Dimensional Black Holes
• Universal quantum Hawking evaporation of integrable two-dimensional solitons
• Back reaction, covariant anomaly and effective action
• Near-Extremal Kerr AdS2xS2 Solution and Black-Hole/Near-Horizion-CFT Duality