Electromagnetic fields in Schwarzschild and Reissner-Nordström geometry. Quantum corrections to the black hole entropy

Abstract

Using standard coordinates, the Maxwell equations in the Reissner-Nordström geometry are written in terms of a couple of scalar fields satisfying Klein-Gordon like equations. The density of states is derived in the semi-classical approximation and the first quantum corrections to the black hole entropy is computed by using the brick-wall model.

7 pages, LaTex

References in corpus (1)

• Entropy in the Kerr-Newman Black Hole

Cited by in corpus (34)

• The Unruh effect and its applications
• Hawking Radiation as Tunneling for Extremal and Rotating Black Holes
• Entanglement entropy of electromagnetic edge modes
• Thermal Fields, Entropy, and Black Holes
• Geometric entropy and edge modes of the electromagnetic field
• Quantization of the electromagnetic field outside static black holes and its application to low-energy phenomena
• Effect of spins on the quantum entropy of black holes
• Quantum entropy of the Kerr black hole arising from gravitational perturbation
• Quantum entropy of the general non-extreme stationary axisymmetric black hole due to minimally coupled quantum scalar field
• Radiative processes of two entangled atoms outside a Schwarzschild black hole
• Thermodynamics of scalar fields in Kerr's geometry
• Reissner-Nordström-AdS black hole in the GEMS approach
• Entropy of a Kerr-de Sitter black hole due to arbitrary spin fields
• Interaction of Hawking radiation and a static electric charge
• Entropies of the general nonextreme stationary axisymmetric black hole: statistical mechanics and thermodynamics
• Sub-leading contributions to the black hole entropy in the brick wall approach
• Brick Walls on the Brane
• Entropy of charged dilaton-axion black hole
• Thermodynamics of quantum photon spheres
• Warped product approach to universe with non-smooth scale factor
• Canonical quantization of gauge fields in static space-times with applications to Rindler spaces
• Generalized Gravitational Entropy of Interacting Scalar Field and Maxwell Field
• Remarks on 't Hooft's Brick Wall Model
• Do static sources respond to massive scalar particles from the Hawking radiation as uniformly accelerated ones do in the inertial vacuum?
• Can the "brick wall" model present the same results in different coordinate representations?
• Entropy of Kerr-Newman black hole to all orders in the Planck length
• Thermodynamics of bosonic systems in adS spacetime
• Higher order WKB corrections to black hole entropy in brick wall formalism
• Entropy of BTZ black strings in the brick wall approach
• Corrections to Hawking Radiation from Asteroid Mass Primordial Black Holes: I. Formalism of Dissipative Interactions in Quantum Electrodynamics
• Revision of the brick wall method for calculating the black hole thermodynamic quantities
• Quantization of electromagnetic field in the Schwarzschild spacetime
• Warp products and (2+1) dimensional spacetimes
• Electromagnetic wave propagation in static black hole spacetimes: an effective refractive index description in Schwarzschild geometry