Junction conditions for higher order gravity theories from a Gibbons-Hawking-York boundary term
arXiv:2412.21167 · doi:10.1103/m5lt-l2jg
Abstract
In this work we study the problem of generalizing the Gibbons-Hawking-York boundary terms for general quadratic theories of gravity and propose a simple condition to obtain them. From these terms we derive the junction conditions for a subset of this family of theories that includes Gauss-Bonnet (GB) gravity. We re-obtain the well-known results for GB theory, generalize them to other quadratic theories and compare the resulting junction conditions with the ones already derived in the literature using other methods
14 pages, 1 figure