Higher-dimensional thin-shell wormholes in Einstein–Yang–Mills–Gauss–Bonnet gravity

Abstract

We present thin-shell wormhole solutions in Einstein-Yang-Mills-Gauss-Bonnet (EYMGB) theory in higher dimensions d ≥ 5. Exact black hole solutions are employed for this purpose where the radius of thin-shell lies outside the event horizon. For some reasons the cases d = 5 and d > 5 are treated separately. The surface energy-momentum of the thin-shell creates surface pressures to resist against collapse and rendering stable wormholes possible. We test the stability of the wormholes against spherical perturbations through a linear energy-pressure relation and plot stability regions. Apart from this restricted stability we investigate the possibility of normal (i.e. non-exotic) matter which satisfies the energy conditions. For negative values of the Gauss-Bonnet (GB) parameter we obtain such physical wormholes.Dedicated to the memory of Rev. Ibrahim EKEN (1927 of Turkey.

Thin-shell wormholes supported by total normal matter

“…Our emphasis is on Einstein's general relativity instead of modified theories such as the Lovelock theory. In such theories there were attempts to find such physical wormholes [37][38][39][40][41][42][43][44] with a non-physical solution and it was shown that a TSW supported by positive energy was possible. In this context we have shown that TSWs with oblate sources can be employed to admit overall physical (i.e.…”

“…The construction of a thin-shell wormhole (TSW) follows the standard procedure of cutting and pasting [37][38][39][40][41][42][43][44]. We consider two copies of ZVW spacetime and we remove from each…”

“…We should add that in the context of the modified theories of gravity, previously, there have been some attempts to introduce a thin-shell wormhole supported by positive/normal matter [37][38][39][40][41][42][43][44]. From this token it was realized that normal matter is possible only for the exotic branch solution of the Einstein-Gauss-Bonnet field equation [37][38][39][40][41][42][43][44].…”

$$3+1$$ 3 + 1 -dimensional thin shell wormhole with deformed throat can be supported by normal matter

“…Precisely, TSWs allow presence of exotic matter at the throat with σ < 0 in which σ is the energy density on the hypersurface of the throat. Several attempts have been made to introduce the TSWs supported by normal matter of the kind with σ > 0 in the framework of the Gauss-Bonnet theory of gravity [23][24][25][26][27]. We aim in this study to seek for σ > 0 against violation of NEC by changing the spherical/circular geometry to more general, angle dependent throats in the wormholes.…”

Counter-rotational effects on stability of $$2+1$$ 2 + 1 -dimensional thin-shell wormholes

“…For a short list of such attempts we refer the reader to [5][6][7][8][9][10][11][12][13][14][15][16][17] and references cited therein. Among the works on TSWs we see generalizations to higher [18][19][20] and lower [21][22][23] dimensions, and extensions to Lovelock gravity [24][25][26][27]. The theory has also been considered in cylindrical symmetry [28][29][30][31][32][33][34], dilaton theory [35], and so on.…”