Thin-shell wormholes in Einstein–Yang–Mills–Gauss–Bonnet theory

Bandyopadhyay, Tanwi; Chakraborty, Subenoy

doi:10.1088/0264-9381/26/8/085005

Cited by 18 publications

(11 citation statements)

References 22 publications

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“…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.…”

Section: Resultsmentioning

confidence: 99%

“…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…”

Section: Zvw Thin-shell Wormhole (Tsw)mentioning

confidence: 99%

“…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].…”

Section: Introductionmentioning

confidence: 99%

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Thin-shell wormholes supported by total normal matter

Mazharimousavi

Halilsoy

2014

Eur. Phys. J. C

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The Zipoy-Voorhees-Weyl (ZVW) spacetime characterized by mass (M) and oblateness (δ) is proposed in the construction of viable thin-shell wormholes (TSWs). A departure from spherical/cylindrical symmetry yields a positive total energy in spite of the fact that the local energy density may take negative values. We show that oblateness of the bumpy sources/black holes can be incorporated as a new degree of freedom that may play a role in the resolution of the exotic matter problem in TSWs. A small velocity perturbation reveals, however, that the resulting TSW is unstable.

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Section: Resultsmentioning

confidence: 99%

Section: Zvw Thin-shell Wormhole (Tsw)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Thin-shell wormholes supported by total normal matter

Mazharimousavi

Halilsoy

2014

Eur. Phys. J. C

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“…In comparison with the general relativistic case, the equation of motion for the shell is much more complicated. For this reason, although thin-shell wormholes have been investigated in Einstein-Gauss-Bonnet gravity by many authors [67,[77][78][79][80][81][82][83], the stability analysis has not been completed yet even against radial perturbations.…”

Section: Pure Tension Wormholes In Einstein-gauss-bonnet Gravitymentioning

confidence: 99%

Thin-Shell Wormholes in Einstein and Einstein–Gauss–Bonnet Theories of Gravity

Kokubu

Harada

2020

Universe

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We review recent works on the possibility for eternal existence of thin-shell wormholes on Einstein and Einstein–Gauss–Bonnet gravity. We introduce thin-shell wormholes that are categorized into a class of traversable wormhole solutions. After that, we discuss stable thin-shell wormholes with negative-tension branes in Reissner–Nordström–(anti) de Sitter spacetimes in d-dimensional Einstein gravity. Imposing Z2 symmetry, we construct and classify traversable static thin-shell wormholes in spherical, planar and hyperbolic symmetries. It is found that the spherical wormholes are stable against spherically symmetric perturbations. It is also found that some classes of wormholes in planar and hyperbolic symmetries with a negative cosmological constant are stable against perturbations preserving symmetries. In most cases, stable wormholes are found with the appropriate combination of an electric charge and a negative cosmological constant. However, as special cases, there are stable wormholes even with a vanishing cosmological constant in spherical symmetry and with a vanishing electric charge in hyperbolic symmetry. Subsequently, the existence and dynamical stability of traversable thin-shell wormholes with electrically neutral negative-tension branes is discussed in Einstein–Gauss–Bonnet theory of gravitation. We consider radial perturbations against the shell for the solutions, which have the Z2 symmetry. The effect of the Gauss–Bonnet term on the stability depends on the spacetime symmetry.

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“…Also, the mouths of a wormhole open into two different regions of the same space-time or different two space-times in the presence of an exotic matter called phantom violating the energy conditions [1,2]. However, it has been shown that a wormhole can be formed without an exotic matter; i.e., it can be supported by ordinary matter not violating energy condition [3][4][5][6][7][8][9][10][11][12]. Furthermore, a wormhole space-time is topologically similar to a black hole except for the nature of their horizon.…”

Section: Introductionmentioning

confidence: 99%

Quantum Gravity Correction to Hawking Radiation of the 2+1-Dimensional Wormhole

Geçim

Sucu

2020

Advances in High Energy Physics

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We carry out the Hawking temperature of a 2+1-dimensional circularly symmetric traversable wormhole in the framework of the generalized uncertainty principle (GUP). Firstly, we introduce the modified Klein-Gordon equation of the spin-0 particle, the modified Dirac equation of the spin-1/2 particle, and the modified vector boson equation of the spin-1 particle in the wormhole background, respectively. Given these equations under the Hamilton-Jacobi approach, we analyze the GUP effect on the tunneling probability of these particles near the trapping horizon and, subsequently, on the Hawking temperature of the wormhole. Furthermore, we have found that the modified Hawking temperature of the wormhole is determined by both wormhole’s and tunneling particle’s properties and indicated that the wormhole has a positive temperature similar to that of a physical system. This case indicates that the wormhole may be supported by ordinary (nonexotic) matter. In addition, we calculate the Unruh-Verlinde temperature of the wormhole by using Kodama vectors instead of time-like Killing vectors and observe that it equals to the standard Hawking temperature of the wormhole.

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Thin-shell wormholes in Einstein–Yang–Mills–Gauss–Bonnet theory

Cited by 18 publications

References 22 publications

Thin-shell wormholes supported by total normal matter

Thin-shell wormholes supported by total normal matter

Thin-Shell Wormholes in Einstein and Einstein–Gauss–Bonnet Theories of Gravity

Quantum Gravity Correction to Hawking Radiation of the 2+1-Dimensional Wormhole

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