Sarkar, SudiptaSudiptaSarkarWall, Aron C.Aron C.Wall2025-08-302025-08-302013-08-0810.1103/PhysRevD.88.0440172-s2.0-84884858045http://repository.iitgn.ac.in/handle/IITG2025/21146In this article we consider the second law of black holes (and other causal horizons) in theories where the gravitational action is an arbitrary function of the Lovelock densities. We show that there exists an entropy which increases locally, for linearized perturbations to regular Killing horizons. In addition to a classical increase theorem, we also prove a generalized second law for semiclassical, minimally coupled matter fields. © 2013 American Physical Society.falseArticlehttps://arxiv.org/pdf/1306.1623155023688 August 201348044017arJournal35WOS:000322917200008