Description
Semi-classical gravity provides a controlled framework for studying quantum effects in black hole physics in the absence of a complete theory of quantum gravity. In this talk, I will focus on recent developments in braneworld models of black holes, in which holography provides a way to account for the backreaction of quantum fields on the geometry. I will describe the resulting semiclassical black hole solutions and discuss how they can be used to investigate thermodynamic properties and geometric constraints beyond the classical regime. Particular attention will be given to the role of extended thermodynamics and to the constraints imposed by geometric inequalities. Finally, I will comment on some open directions and future developments motivated by these results.