Higher Derivative Correction to the Hawking Flux via Trace Anomaly

Abstract

In this paper we derive Hawking radiation of black holes with higher derivative corrections by the method of trace anomaly. Firstly we derive Hawking radiation for general spherical black holes. We introduce a modified tortoise coordinate to it and find the analyticity of the coordinate. Secondly we apply its method to a black hole with a higher derivative correction and derive the Hawking radiation of it. We found that as an ordinary case the flux depends only on the surface gravity.

arXiv comment14 pages, references added

References in corpus (27)

• 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 and Covariant Anomalies
• Hawking Radiation from General Kerr-(anti)de Sitter Black Holes
• Hawking Radiation, Effective Actions and Covariant Boundary Conditions
• Quantum Anomalies at Horizon and Hawking Radiations in Myers-Perry Black Holes
• Anomalies and de Sitter radiation from the generic black holes in de Sitter spaces
• Higher-spin Currents and Thermal Flux from Hawking Radiation
• Covariant anomalies and Hawking radiation from charged rotating black strings in anti-de Sitter spacetimes
• Fluxes of Higher-spin Currents and Hawking Radiations from Charged Black Holes
• Hawking radiation in GHS and non-extremal D1-D5 blackhole via covariant anomalies
• On Hawking radiation from black rings
• Hawking Radiation via Higher-spin Gauge Anomalies
• Gravitational anomalies: a recipe for Hawking radiation
• Anomalies and Hawking radiation from the Reissner-Nordström black hole with a global monopole
• Hawking radiation of a vector field and gravitational anomalies
• Hawking radiation in GHS blackhole, Effective action and Covariant Boundary condition
• Relationship between Hawking radiation from black holes and spontaneous excitation of atoms
• Higher-spin Gauge and Trace Anomalies in Two-dimensional Backgrounds
• On Gravitational anomaly and Hawking radiation near weakly isolated horizon
• Hawking Radiation, Gravitational Anomaly and Conformal Symmetry - the Origin of Universality -
• Hawking radiation in Reissner-Nordström blackhole with a global monopole via Covariant anomalies and Effective action
• Hawking Radiation of Black p-Branes from Gravitational Anomaly
• Gravitational Anomaly and Hawking Radiation of Brane World Black Holes
• Perturbative Metric of Charged Black Holes in Quadratic Gravity

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• Anomaly analysis of Hawking radiation from Kaluza-Klein black hole with squashed horizon
• Modification of Gravitational Anomaly Method in Hawking Radiation
• Thermodynamics of nonspherical black holes from Liouville theory
• Recent Attempts in the Analysis of Black Hole Radiation
• Anomaly analysis of Hawking radiation from 2+1 dimensional spinning black hole