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

Abstract

We construct a broad family of thin-shell wormholes with circular symmetry in $$(2+1)$$ ( 2 + 1 ) -dimensional F(R) theories of gravity, with constant scalar curvature R. We study the stability of the static configurations under perturbations preserving the symmetry. We present examples of charged thin-shell wormholes which are asymptotically anti-de Sitter at both sides of the throat. We show that stable solutions are possible when suitable values of the parameters are taken.

Thin-shell wormhole supported by exotic dust in gravity coupled with nonlinear electrodynamics

“…The formalism has been successfully applied to the construction of various TSW in not only Einstein's Rgravity [17][18][19][20][21][22][23][24][25][26][27][28][29][30] (and the references therein) but also in bulk spacetimes solutions in other modified theories of gravity [31][32][33][34][35][36][37] (and the references therein). Among the first papers we should mention the TSW in Schwarzschild bulk spacetime [38] where Poisson and Visser within the Schwarzschild black hole bulk spacetime applied the method of cut-and-paste and constructed the corresponding TSW.…”

Thin-shell wormholes in $N$-dimensional $F(R)$ gravity

“…Depending on the third derivative of F (R), the formalism branches out: for F ′′′ (R) = 0 the continuity of the scalar curvature R on the hypersurface is also demanded; if F ′′′ (R) = 0, it is possible to construct spacetimes with a discontinuity of the scalar curvature across the hypersurface, in which case, extra contributions to the energy-momentum tensor appear in order to guarantee its local conservation [57,58]. Applications of this formalism in F (R) gravity can be found in the literature; namely, thin shells and wormholes in four dimensions [59][60][61][62][63][64][65][66] as well as in lower dimensions [67,68]. Thin shells in higher dimensional F (R) gravity have been analyzed [69], but there are no analogous studies with wormholes, hence, this motivates the present article to complete this topic in the literature.…”