The Real Scalar Field Equation for Nariai Black Hole in the 5D Schwarzschild-de Sitter Black String Space

Abstract

The Nariai black hole, whose two horizons are lying close to each other, is an extreme and important case in the research of black hole. In this paper we study the evolution of a massless scalar field scattered around in 5D Schwarzschild-de Sitter black string space. Using the method shown by Brevik and Simonsen (2001) we solve the scalar field equation as a boundary value problem, where real boundary condition is employed. Then with convenient replacement of the 5D continuous potential by square barrier, the reflection and transmission coefficients ($R,T$) are obtained. At last, we also compare the coefficients with usual 4D counterpart.

10 pages,6 figures.To appear in Int. J. Mod. Phys. A

References in corpus (3)

• Quasi-Normal Modes of Brane-Localised Standard Model Fields II: Kerr Black Holes
• The Real Solution to Scalar Field Equation in 5D Black String Space
• Using (4+1) split and energy conditions to study the induced matter in 5D Ricc-flat cosmology

Cited by in corpus (6)

• Thermodynamics of Schwarzschild-de Sitter black hole: thermal stability of Nariai black hole
• Dirac quasinormal modes of power-Maxwell charged black holes in Rastall gravity
• Quantum Statistical Entropy and Minimal Length of 5D Ricci-flat Black String with Generalized Uncertainty Principle
• The Dynamic Behavior of Quantum Statistical Entropy in 5D Ricci-flat Black String with Thin-layer Approach
• Real Scalar Field Scattering with Polynomial Approximation around Schwarzschild-de Sitter Black-hole
• The Numerical Solution of Scalar Field for Nariai Case in 5D Ricci-flat SdS Black String Space with Polynomial Approximation