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arXiv · 2412.21167

Junction conditions for higher order gravity theories from a Gibbons-Hawking-York boundary term

Marcos A. Ramirez·Cristián Martínez
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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

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Marcos A. Ramirez, Cristián Martínez. 2024-12-30. Junction conditions for higher order gravity theories from a Gibbons-Hawking-York boundary term. https://doi.org/10.1103/m5lt-l2jg

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