Double layer from least action principle

Abstract

We derived the equations for the double layers in Quadratic Gravity, using solely the least action principle. The advantage of our approach is that, in the process of calculation, the ${\delta }^{\prime }$-function does not appear at all, and the $\delta$-functions appear for a moment and are mutually canceled prior to integration. We revealed the peculiar structure of the obtained equations, namely, that the surface energy-momentum tensor of the matter fields (constituents of the thin shells) does not play a role in the determination of the trajectory of the double layer. Also, we suggested that the space-like double layers may provide us with the adequate description of the creation of the universe from the black hole singularity. The related topics, including the Gauss-Bonnet term and $F(R)$-theories, are shortly discussed.

arXiv comment15 pages, minor proofs, submitted to CQG

References in corpus (9)

• Junction conditions for F(R)-gravity and their consequences
• Junction conditions in quadratic gravity: thin shells and double layers
• Gravitational double layers
• Pure double-layer bubbles in quadratic F(R) gravity
• Revisiting the Darmois and Lichnerowicz junction conditions
• Double layers in gravity theories
• Equations for general shells
• Spherically symmetric double layers in Weyl+Einstein gravity
• Least action principle and gravitational double layer

Cited by in corpus (9)

• Area-law versus Rényi and Tsallis black hole entropies
• AdS/BCFT and Island for curvature-squared gravity
• Junction conditions for generalized hybrid metric-Palatini gravity with applications
• Thin shells in (2+1)-dimensional F(R) gravity
• Thin-shell wormholes in (2+1)-dimensional F(R) theories
• Junction conditions for higher order gravity theories from a Gibbons-Hawking-York boundary term
• Double layer in quadratic gravity and least action principle
• Lightlike singular hypersurfaces in quadratic gravity
• General Shells and Generalized Functions