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Electron in higher-dimensional weakly charged rotating black hole spacetimes
Marco Cariglia, Valeri P. Frolov, Pavel Krtous +1
We demonstrate separability of the Dirac equation in weakly charged rotating black hole spacetimes in all dimensions. The electromagnetic field of the black hole is described by a…
Geometry of Lax pairs: particle motion and Killing-Yano tensors
Marco Cariglia, Valeri P. Frolov, Pavel Krtous +1
A geometric formulation of the Lax pair equation on a curved manifold is studied using phase space formalism. The corresponding (covariantly conserved) Lax tensor is defined and th…
Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
Sharmila Gunasekaran, David Kubiznak, Robert B. Mann
We investigate the critical behaviour of charged and rotating AdS black holes in d spacetime dimensions, including effects from non-linear electrodynamics via the Born-Infeld actio…
P-V criticality of charged AdS black holes
David Kubiznak, Robert B. Mann
Treating the cosmological constant as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume, we reconsider the critical behaviour of charged AdS black holes…
Local metrics admitting a principal Killing-Yano tensor with torsion
Tsuyoshi Houri, David Kubiznak, Claude M. Warnick +1
In this paper we initiate a classification of local metrics admitting the principal Killing--Yano tensor with a skew-symmetric torsion. It is demonstrated that in such spacetimes r…