IISER MOHALI

Abstract: A black hole is one of the most mysterious objects in the universe. An interesting aspect of a black hole is the volume of its interior. In this talk, I discuss the notion of black hole interior volume defined using maximal spacelike hypersurfaces. Unlike the horizon area, the interior volume depends on the choice of spacelike slicing and can grow even for stationary black holes. After reviewing the general idea, we compute the maximal volume for the BTZ and Kerr families of black holes and show that it grows with advanced time. We further investigate the behavior of the variation in the volume growth rate of the Kerr black hole under various physical processes, including the Penrose process, superradiance, and particle accretion, and find several interesting features