Thin-shell wormholes with a double layer in quadraticF(R)gravity

Abstract

We present a family of spherically symmetric Lorentzian wormholes in quadratic F (R) gravity, with a thin shell of matter corresponding to the throat. At each side of the shell the geometry has a different constant value of the curvature scalar R. The junction conditions determine the equation of state between the pressure and energy density at the throat, where a double layer is also located. We analyze the stability of the configurations under perturbations preserving the spherical symmetry. In particular, we study thin-shell wormholes with mass and charge. We find that there exist values of the parameters for which stable static solutions are possible.

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

“…Within F (R) gravity, spherically symmetric black hole solutions have been found in recent years [9][10][11]. Lorentzian wormhole geometries [12][13][14][15], collapsing spherical stars [16], and thin shell wormholes [17,18] have all been studied in these theories. The particular case of quadratic F (R) gravity, which has a positive mass theorem [19] and a well-defined entropy formulation [20], can provide a self-consistent model for inflation [21].…”

Spherical thin shells in F(R) gravity: construction and stability

“…These results were recently extended to any quadratic theory Lagrangian [33]. Within F(R) gravity, several studies have been performed in recent years such as static and spherically symmetric black holes [26,27,[34][35][36][37][38][39], traversable wormholes [40][41][42][43][44][45] and pure double layer bubbles [46].…”

Thin-shell wormholes in $$(2+1)$$-dimensional F(R) theories

“…The theories with the most generic Lagrangian containing terms quadratic in the curvature [41,42] share the main attributes with quadratic F(R). Several works can be found within F(R) gravity where the thin-shell formalism is applied to bubbles, layers of matter enclosing black holes [43][44][45], and also in the construction of traversable worm-holes [46][47][48][49][50]. The peculiar case of pure double layers in the quadratic F(R) model is studied in Ref.…”