Pure double-layer bubbles in quadratic F(R) gravity

Abstract

We present a class of spherically symmetric spacetimes corresponding to bubbles separating two regions with constant values of the scalar curvature, or equivalently with two different cosmological constants, in quadratic F(R) theory. The bubbles are obtained by means of the junction formalism, and the matching hypersurface supports in general a thin shell and a gravitational double layer. In particular, we find that pure double layers are possible for appropriate values of the parameters of the model whenever the quadratic coefficient is negative. This is the first example of a pure double layer in a gravitational theory.

15 pages, 4 figures; v2: extended and improved version, 5 new references added. To be published in Physical Review D

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• Wormholes with fluid sources: A no-go theorem and new examples
• Spherical thin shells in F(R) gravity: construction and stability
• A new shape function for wormholes in $f(R)$ gravity and General Relativity
• Thin shells in (2+1)-dimensional F(R) gravity
• Wormhole modeling in $R^2$ gravity with linear trace term
• 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
• Thin-Shells and Thin-Shell Wormholes in New Massive Gravity
• Spherically symmetric double layers in Weyl+Einstein gravity
• Thin-shell wormholes in (2+1)-dimensional F(R) theories
• 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
• Charged thin shells in unimodular gravity
• Lightlike singular hypersurfaces in quadratic gravity
• Thin-shell wormholes in N-dimensional F(R) gravity
• Double layers in Weyl geometry and some physical implications