The Dynamic Behavior of Quantum Statistical Entropy in 5D Ricci-flat Black String with Thin-layer Approach
arXiv:0811.0655 · doi:10.1016/j.physletb.2008.02.037
Abstract
In this paper, the statistical-mechanical entropies of 5D Ricci-flat black string is calculated through the wave modes of the quantum field with improved thin-layer brick-wall method. The modes along the fifth dimension are semi-classically quantized by Randall-Sundrum mass relationship. We use the two-dimensional area to describe this black string's entropy which, in the small-mass approximation, is a linear sum of the area of the black hole horizon and the cosmological horizon. The proportionality coefficients of entropy are discretized with quantized extra dimensional modes. It should be noted that the small-mass approximation used in our calculation is naturally justified by the assumption that the two branes are located far apart.
9 pages, 1 figure, this work is dedicated to the memory of Professor Hongya Liu
References in corpus (29)
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- The Hierarchy Problem and New Dimensions at a Millimeter
- New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
- Cosmological Imprint of an Energy Component with General Equation of State
- Black Holes at the LHC
- High Energy Colliders as Black Hole Factories: The End of Short Distance Physics
- Kaluza-Klein Gravity
- Supernova Limits on the Cosmic Equation of State
- The Thermodynamics of Black Holes
- Brane-World Black Holes
- Black Holes and Sub-millimeter Dimensions
- Exact Description of Black Holes on Branes
- String Theory and Quintessence
- Horizon Entropy
- The Acceleration of the Universe, a Challenge for String Theory
- Equivalence Between Space-Time-Matter and Brane-World Theories
- Quasi-Normal Modes of Brane-Localised Standard Model Fields
- Entropy of the Randall-Sundrum brane world with the generalized uncertainty principle
- 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
- Entropy of a Kerr-de Sitter black hole due to arbitrary spin fields
- Exact Global Solutions of Brane Universes and Big Bounce
- Entropy of the Randall-Sundrum black brane world in the brick-wall method
- Black Hole Thermodynamics: Entropy, Information and Beyond
- 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
- The Real Scalar Field Equation for Nariai Black Hole in the 5D Schwarzschild-de Sitter Black String Space