Entropy of the Randall–Sundrum black brane world to all orders in the Planck length

2007/05/31 by Khireddine Nouicer · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.1088/0264-9381/25/7/075010

published as Class.Quant.Grav.25:075010,2008 · 19 pages, 1 figure. (v2): section 4 improved

arxiv created 2007/11/30 · openalex publication_date 2008/03/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We study the effects, to all orders in the Planck length from a generalized uncertainty principle (GUP), on the statistical entropy of massive scalar bulk fields in the Randall–Sundrum black brane world. We show that the Bekenstein–Hawking area law is not preserved, and contains a correction term proportional to the black hole inverse area.

Citations

• Black hole thermodynamics to all orders in the Planck length in extra dimensions
• Large Mass Hierarchy from a Small Extra Dimension
• Noncommutative geometry inspired Schwarzschild black hole
• Particle creation by black holes
• Generalized second law of thermodynamics in black-hole physics
• Black Holes and Entropy
• An Introduction to Noncommutative Spaces and their Geometry

Cited by

• FUNDAMENTAL SYMMETRIES OF THE EXTENDED SPACETIME