Mass and free energy in the thermodynamics of squashed Kaluza–Klein black holes

2007/05/31 by Yasunari Kurita, Hideki Ishihara · 2 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/24/17/016

published as Class.Quant.Grav.24:4525-4532,2007 · 11 pages, discussion extended

arxiv created 2007/08/01 · openalex publication_date 2007/08/21 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

The Abbott–Deser mass, the Hamiltonian and the Komar mass of the five-dimensional Kaluza–Klein black hole with squashed horizons take different values. Introducing a new couple of thermodynamic variables for the Komar mass, we show that each mass can be interpreted as a thermodynamic potential with its own natural variables, i.e. all masses are related to each other by the Legendre transformations. It is found that the new variables and the gravitational tension represent the squashing of the outer horizon.

Citations

• Stability of gravity with a cosmological constant
• On the gravitational energy of the Kaluza–Klein monopole
• Particle creation by black holes

Cited by

• Charged black holes in a rotating Gross–Perry–Sorkin monopole background
• Extremal Kerr/CFT correspondence of five-dimensional rotating (charged) black holes with squashed horizons