Phase transition of electrically charged Ricci-flat black holes

2007/05/31 by Nabamita Banerjee, Suvankar Dutta · 24 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black brane #Black hole (networking) #Boundary (topology) #Charged black hole #Classical mechanics #Cosmology and Gravitation Theories #Extremal black hole #Horizon #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Phase transition #Physics #Quantum mechanics #Schwarzschild radius #Spacetime #Topology (electrical circuits) #White hole #hep-th

paper · pdf · doi:10.1088/1126-6708/2007/07/047

published in Journal of High Energy Physics 2007(07), 047 (Springer Nature) · 33 pages, 9 figures, Version 2, References added

arxiv created 2007/05/31 · openalex publication_date 2007/07/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study phase transition between electrically charged Ricci-flat black holes and AdS soliton spacetime of Horowitz and Myers in five dimensions. Boundary topology for both of them is S¹ × S¹ × R². We consider Reissner-Nordstrom black hole and R-charged black holes and find that phase transition of these black holes to AdS soliton spacetime depends on the relative size of two boundary circles. We also perform the stability analysis for these black holes. In order to use the AdS/CFT correspondence, we work in the grand canonical ensemble.

Citations

• Thermodynamics of spinning D3-branes
• Quantum Fields in Curved Space
• R-chargedAdS5black holes and largeNunitary matrix models
• Topological black holes in Weyl conformal gravity
• Formation of Topological Black holes from Gravitational Collapse
• (Anti-) de Sitter Black Holes in higher derivative gravity and dual Conformal Field Theories
• Rotating Topological Black Holes
• Black holes with unusual topology
• Ricci flat black holes and Hawking-Page phase transition in Gauss-Bonnet gravity and dilaton gravity
• Thermodynamics of black holes in anti-de Sitter space
• Euclidean and Noetherian entropies in AdS space
• Topological charged black holes in high dimensional spacetimes and their formation from gravitational collapse of a type II fluid
• The phase structure of low dimensional largeNgauge theories on tori
• Cylindrical Black Hole in General Relativity
• The large N limit of superconformal field theories and supergravity

Cited by

• The geometry and phase structure of non-relativistic branes