Thin-shell wormholes in Einstein–Maxwell theory with a Gauss–Bonnet term

Abstract

We study five dimensional thin-shell wormholes in Einstein-Maxwell theory with a GaussBonnet term. The linearized stability under radial perturbations and the amount of exotic matter are analyzed as a function of the parameters of the model. We find that the inclusion of the quadratic correction substantially widens the range of possible stable configurations, and besides it allows for a reduction of the exotic matter required to construct the wormholes.

“Mass without mass” from thin shells in Gauss-Bonnet gravity

“…Thin shell wormholes were first stud-ied in Einstein gravity in [24]. Also some effects of the Gauss-Bonnet term as a correction were studied in [25]. The fact that wormholes require 'exotic matter' in Einstein gravity was already discussed in [26].…”

General formalism for the stability of thin-shell wormholes in $$2+1$$ 2 + 1 dimensions

“…A particular class of wormholes consists of those constructed by cutting and pasting two manifolds to obtain a new one with a joining shell at the throat [2]. In recent years shells around vacuum (bubbles), around black holes and stars, and supporting traversable wormholes, have received considerable attention [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]; spherically symmetric shells have been studied in detail in four and also in more spacetime dimensions [26][27][28][29][30][31]. We have recently analyzed four-dimensional spherical shells for Einstein gravity coupled to Born-Infeld electrodynamics in relation with thin-shell wormholes [32,33] and shells around vacuum or around black holes [34].…”

Plane symmetric thin-shell wormholes: Solutions and stability

“…The dynamical analysis in [13,14,15] was generalized by considering solutions with electrical charge [16], solutions in the presence of a cosmological constant [17], and spherically symmetric dynamical solutions [18]. More recently, by using the cut and paste technique, several solutions were analyzed, such as, the dynamics of non rotating cylindrical thin-shell wormholes [19], charged thin-shell Lorentzian wormholes in dilaton gravity [20], five dimensional thin-shell wormholes in Einstein-Maxwell theory with a Gauss-Bonnet term [21], solutions in higher dimensional Einstein-Maxwell theory [22], thin-shell wormholes associated with global cosmic strings [23], solutions in heterotic string theory [24], spherical thin-shell wormholes supported by a Chaplygin gas [25], a new class of thin-shell wormhole by surgically grafting two black hole solutions localized on a three brane in five dimensional gravity in the Randall-Sundrum scenario [26], and spherically symmetric thin-shell wormholes in a string cloud background in (3+1)-dimensional spacetime were also analyzed [27]. Other wormhole solutions have been analyzed in [28,29,30,31].…”