Stability of thin-shell wormholes supported by normal matter in Einstein-Maxwell-Gauss-Bonnet gravity

Abstract

Recently in ( Phys. Rev. D 76, 087502 (2007) and Phys. Rev. D 77, 089903(E) (2008)) a thinshell wormhole has been introduced in 5-dimensional Einstein-Maxwell-Gauss-Bonnet (EMGB) gravity which was supported by normal matter. We wish to consider this solution and investigate its stability. Our analysis shows that for the Gauss-Bonnet (GB) parameter α < 0, stability regions form for a narrow band of finely-tuned mass and charge. For the case α > 0, we iterate once more that no stable, normal matter thin-shell wormhole exists.

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].…”

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.…”

$$3+1$$ 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.…”