My research mainly focuses on black hole physics. I have studied integrability properties of higher-dimensional black holes, proposed extended framework for black hole thermodynamics, investigated interactions of black holes with black strings, constructed new black hole solutions.
More specifically, I am interested in higher-dimensional rotating black holes and their integrability properties. I have probed the behavior of particles and fields in their vicinity. I have shown that black holes of spherical horizon topology possess a hidden symmetry of the so called Killing-Yano tensor which in its turn implies complete integrability of geodesic motion and separability of scalar and Dirac equations. The result on complete integrability was recently extended to the classical spinning particle case.
I also study black hole thermodynamics. In particular, I have studied P-V criticality of various AdS black hole spacetimes and together with my collaborators conjectured the reverse isoperimetric inequality for the black hole thermodynamic volume. More recently we have discovered that rotating black holes in six and higher dimensions display interesting phenomena known from the `every day thermodynamics' of simple substances. Namely, we have observed a reentrant large/small/large black hole phase transition as well as small/large black hole phase transition ala Van der Waals.
I studied an interaction of cosmic strings with rotating black holes and shown that the backreaction is not described by a mere conical deficit as commonly believed.
Most recently, I have been interested in new black holes solutions that possess non-compact horizons with finite horizon area. Such black holes, for a given thermodynamic volume, possess more entropy than maximally entropic Schwarzschild black holes, hence they are "super-entropic".
Potential PhD students should apply to the Physics Department at the University of Waterloo. Students interested in pursuing studies for an MSc should apply to Perimeter's PSI program.