Black hole thermodynamics to all orders in the Planck length in extra dimensions

2007/06/30 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:10.1088/0264-9381/24/23/014

published as Class.Quant.Grav.24:5917-5934,2007; Erratum-ibid.24:6435,2007 · 21 pages, 6 figures, 1 table; Figure 2 replaced and section 4 improved

openalex publication_date 2007/11/21 · arxiv created 2007/11/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We investigate the effects to all orders in the Planck length, from a generalized uncertainty principle (GUP), on the thermodynamic parameters of radiating Schwarzschild black holes in a scenario with large extra dimensions. We show that black holes in this framework are hotter, have fewer degrees of freedom and decay faster compared to black holes in the Hawking picture and in the framework with GUP to leading order in the Planck length. Particularly, we show that the final stage of the evaporation process is a black hole remnant with zero entropy, zero heat capacity and nonzero finite temperature. We finally compare our results with those obtained in the standard Hawking picture and with the GUP to leading order in the Planck length.

Citations

• The Generalized Uncertainty Principle and Black Hole Remnants
• Noncommutative geometry inspired Schwarzschild black hole
• An Introduction to Noncommutative Spaces and their Geometry

Cited by

• Entropy of the Randall–Sundrum black brane world to all orders in the Planck length
• Uncertainty relation on a world crystal and its applications to micro black holes