In this paper, we investigate the generalized covariant entropy bound in theory where Einstein gravity is perturbed by higher-order Lovelock terms. After replacing Bekenstein-Hawking with Jacobson-Myers and introducing two reasonable physical assumptions, showed that corresponding satisfied under a approximation of perturbation from Our result implies strictly obeys level, second law Lanczos-Lo...

We consider two specific approaches to evaluate the black hole entropy which are known to produce correct results in the case of Einstein’s theory and generalize them to LanczosLovelock models. In the first approach (which could be called extrinsic) we use a procedure motivated by earlier work by Pretorius, Vollick and Israel, and by Oppenheim, and evaluate the entropy of a configuration of den...

This paper is based on lectures given in Ladek-Zdroj, Poland during the 42nd edition of the Karpac winter school on Theoretical Physics. The aim of these lectures was to give an introduction to a rigorous, mathematically well based, variational approach to alternative theories of Gravity, in view of their very interesting recent applications in the framework of Cosmology. We discuss alternative...

Abstract Lovelock gravity in D -dimensional space-times is considered adopting Cartan's structure equations. In this context, we find out exact solutions cosmological and spherically symmetric backgrounds. the latter case, also derive horizons corresponding Bekenstein-Hawking entropies. Moreover, focus on topological Chern-Simons theory, providing 5 dimensions. Specifically, it possible to show...

We obtain the classical holographic relation for general Lovelock gravity and decompose full Lagrangian into bulk term surface term, expressed as a total derivative $\partial_\mu J^\mu$. By relation, we mean that $J^\mu$ is determined completely by term. find not degenerate, or first-order in this foliation-independent approach. then consider Arnowitt-Deser-Misner (ADM) formalism where foliatio...

The prescription of Silva to derive superpotential equations from variational derivatives rather than from Lagrangian densities is applied to theories of gravity derived from Lovelock Lagrangians in the Palatini representation. Spacetimes are without torsion and isolated sources of gravity are minimally coupled. On a closed boundary of spacetime, the metric is given and the connection coefficie...

We generalize the quasilocal definition of the stress energy tensor of Einstein gravity to the case of third order Lovelock gravity, by introducing the surface terms that make the action welldefined. We also introduce the boundary counterterm that removes the divergences of the action and the conserved quantities of the solutions of third order Lovelock gravity with zero curvature boundary at c...