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.

arXiv comment10 pages,6 figures.To appear in Int. J. Mod. Phys. A

References in corpus (26)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Cosmological Constant and Dark Energy
• Kaluza-Klein Gravity
• Black Holes in Theories with Large Extra Dimensions: a Review
• Calculable Corrections to Brane Black Hole Decay II: Greybody Factors for Spin 1/2 and 1
• Radiative falloff in Schwarzschild-de Sitter spacetime
• Equivalence Between Space-Time-Matter and Brane-World Theories
• Nariai, Bertotti-Robinson and anti-Nariai solutions in higher dimensions
• Bulk and Brane Decay of a (4+n)-Dimensional Schwarzschild-De-Sitter Black Hole: Scalar Radiation
• Hawking Radiation from a (4+n)-Dimensional Rotating Black Hole on the Brane
• Quasi-Normal Modes of Brane-Localised Standard Model Fields II: Kerr Black Holes
• Quantum evolution of Schwarzschild-de Sitter (Nariai) black holes
• Solar System Tests of Higher-Dimensional Gravity
• Scalar radiation emitted from a source rotating around a black hole
• The extremal limits of the C-metric: Nariai, Bertotti-Robinson and anti-Nariai C-metrics
• Classical confinement of test particles in higher-dimensional models: stability criteria and a new energy condition
• Gauge-Dependent Cosmological "Constant"
• Spacetime Measurements in Kaluza-Klein Gravity
• Antideuterons as a probe of primordial black holes
• Interaction of Hawking radiation with static sources outside a Schwarzschild black hole
• Exact Global Solutions of Brane Universes and Big Bounce
• The Real Scalar Field in Schwarzschild-de Sitter Spacetime
• Some Dynamical Effects of the Cosmological Constant
• Using (4+1) split and energy conditions to study the induced matter in 5D Ricc-flat cosmology
• The Real Solution to Scalar Field Equation in 5D Black String Space

Cited by in corpus (8)

• 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
• Spectrums of Black Hole in de Sitter Spacetime with Highly Damped Quasinormal Modes: High Overtone Case
• Scattering of scalar perturbations with cosmological constant in low-energy and high-energy regimes
• The Numerical Solution of Scalar Field for Nariai Case in 5D Ricci-flat SdS Black String Space with Polynomial Approximation