Mass and thermodynamics of Kaluza–Klein black holes with squashed horizons

Abstract

Recently a five-dimensional Kaluza-Klein black hole solution with squashed horizon has been found in hep-th/0510094. The black hole spacetime is asymptotically locally flat and has a spatial infinity S 1 ֒→ S 2 . By using "boundary counterterm" method and generalized Abbott-Deser method, we calculate the mass of this black hole. When an appropriate background is chosen, the generalized Abbott-Deser method gives the same mass as the "boundary counterterm" method. The mass is found to satisfy the first law of black hole thermodynamics. The thermodynamic properties of the Kaluza-Klein black hole are discussed and are compared to those of its undeformed counterpart, a five-dimensional Reissner-Nordström black hole.

Tunnelling of scalar and Dirac particles from squashed charged rotating Kaluza–Klein black holes

“…Different aspects of Kaluza-Klein black holes were also considered, namely thermodynamics [39][40][41], Hawking radiation and the tunnelling method [42][43][44][45][46][47][48], quasinormal modes and stabilities [49][50][51][52][53], geodetic precession [54] and gravitational lensing [55].…”

Note on counterterms in asymptotically flat spacetimes

“…This method was also used in computing the gravitational energy of the Kaluza Klein monopole [13] and of (2 + 1) Minkowski space [14], the mass of Kaluza-Klein black holes with squashed horizons [15,16,17,18], and the mass of non-uniform black string solutions [19].…”

A Note on Klein–gordon Equation in a Generalized Kaluza–klein Monopole Background

“…The horizon of the IM black hole has S 3 topology, and its spacelike infinity is a squashed sphere or S 1 bundle over S 2 . The mass and thermodynamics of this solution have been discussed in [18]. A vacuum black hole solution with similar properties has been presented in [8].…”