Gravitational double layers

Abstract

I analyze the properties of thin shells through which the scalar curvature R is discontinuous in gravity theories with R + R^2 Lagrangian on the bulk. These shells/domain walls are of a new kind because they possess, in addition to the standard energy-momentum tensor, an external energy flux vector, an external scalar pressure/tension and, most exotic of all, another energy-momentum tensor contribution resembling classical dipole distributions on a shell: a double layer. I prove that all these contributions are necessary to make the entire energy-momentum tensor divergence-free. This is the first known occurrence of such a type of double layer allowed in a gravity theory. I present explicit examples in constant-curvature 5-dimensional bulks, with a brief study of their properties: new physical behaviors arise.

11 pages, no figures. Minor corrections and some references added. Typos corrected, new comments and new reference

References in corpus (6)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Junction Conditions in f(R) Theories of Gravity
• Junction conditions for F(R)-gravity and their consequences
• Lorentzian and signature changing branes
• Black Branes as Piezoelectrics
• Is the accelerated expansion evidence of a forthcoming change of signature on the brane?

Cited by in corpus (22)

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• Double gravitational layer traversable wormholes in hybrid metric-Palatini gravity
• Thin-shell wormholes with a double layer in quadratic F(R) gravity
• Spherical thin shells in F(R) gravity: construction and stability
• Pure double-layer bubbles in quadratic F(R) gravity
• Double layers in gravity theories
• Junction conditions for generalized hybrid metric-Palatini gravity with applications
• Equations for general shells
• Thin shells in (2+1)-dimensional F(R) gravity
• Traversable wormholes with double layer thin shells in quadratic gravity
• 3+1 decomposition in modified gravities within the Palatini formalism and some applications
• Thin shells in F(R) gravity with non-constant scalar curvature
• Double layer from least action principle
• Canonical Noether and the energy-momentum non-uniqueness problem in linearized gravity
• Matching tetrads in f(T) gravity
• Thin shells surrounding black holes in F(R) gravity
• Thin-shell wormholes in (2+1)-dimensional F(R) theories
• Junction conditions in infinite derivative gravity
• Energy conditions for non-timelike thin shells
• Black hole solutions and thin shells in N-dimensional F(R) gravity with a conformally invariant Maxwell field
• Some exact relativistic star solutions in $f(R)$ gravity
• Lightlike singular hypersurfaces in quadratic gravity