Double layers in gravity theories

Abstract

Gravitational double layers, unlike their classical electromagnetic counterparts, are thought to be forbidden in gravity theories. It has been recently shown, however, that they are feasible in, for instance, gravity theories with a Lagrangian quadratic in the curvature. This is surprising with many potential consequences and the possibility of new physical behaviours. While a clear interpretation seems elusive, several lines of research are open. I present the field equations for double layers, the new physical quantities arising, and several explicit examples.

11 pages, no figures. Invited talk at the Spanish Relativity Meeting 2014 (ERE-2014), submitted to its Proceedings

References in corpus (10)

• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• 1/R gravity and Scalar-Tensor Gravity
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• Junction Conditions in f(R) Theories of Gravity
• Junction conditions for F(R)-gravity and their consequences
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• Gravitational double layers

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• Equations for general shells
• Double layer from least action principle
• Thin shells in F(R) gravity with non-constant scalar curvature
• Thin shells surrounding black holes in F(R) gravity
• Junction Conditions and local Spacetimes in General Relativity
• Spherically symmetric double layers in Weyl+Einstein gravity
• Least action principle and gravitational double layer
• Junction conditions in bi-scalar Poincaré Gauge gravity
• Distributional Metrics and the Action Principle of Einstein-Hilbert Gravity
• Black hole solutions and thin shells in N-dimensional F(R) gravity with a conformally invariant Maxwell field
• On the theory of spherically symmetric thin shells in conformal gravity
• Thin-shell wormholes in N-dimensional F(R) gravity
• Lightlike singular hypersurfaces in quadratic gravity
• Double layer in quadratic gravity and least action principle
• General Shells and Generalized Functions