Double layer in quadratic gravity and least action principle
V. A. Berezin, V. I. Dokuchaev, Yu. N. Eroshenko, A. L. Smirnov
TL;DR
This paper derives the equations for double layers in quadratic gravity directly from the least action principle, extending the method used for thin shells in General Relativity.
Contribution
It introduces a novel derivation of double layer equations in quadratic gravity using the least action principle, expanding the theoretical framework.
Findings
Derived equations for double layers in quadratic gravity
Extended the least action principle approach to higher-order gravity theories
Provided a systematic method for analyzing thin structures in modified gravity
Abstract
The Israel equations for thin shells in General Relativity are derived directly from the least action principle. The method is elaborated for obtaining the equations for double layers in quadratic gravity from the least action principle.
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