d-Dimensional non-asymptotically flat thin-shell wormholes in Einstein–Yang–Mills-dilaton gravity

Mazharimousavi, S. Habib; Halilsoy, Mustafa; Amirabi, Zahra

doi:10.1016/j.physleta.2010.11.012

Cited by 26 publications

(15 citation statements)

References 32 publications

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“…Though, using BTZ in the thin-shell wormhole construction is that, it is not asymptotically flat and therefore the wormholes are not asymptotically flat. Re- cently Mazharimousavi, Halilsoy and Amirabi [42] shown that a non-asymptotically flat black hole solution provides Stable thin-shell wormholes which are entirely supported by exotic matter.…”

Section: The Total Amount Of Exotic Mattermentioning

confidence: 99%

Stability of Charged Thin-Shell Wormholes in (2+1) Dimensions

Banerjee

2013

Int J Theor Phys

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In this paper we construct charged thin-shell wormholes in (2+1)-dimensions applying the cut-andpaste technique implemented by Visser, from a BTZ black hole which was discovered by Bañados, Teitelboim and Zanelli [1], and the surface stress are determined using the Darmois-Israel formalism at the wormhole throat. We analyzed the stability of the shell considering phantom-energy or generalised Chaplygin gas equation of state for the exotic matter at the throat. We also discussed the linearized stability of charged thin-shell wormholes around the static solution.PACS numbers:

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Section: The Total Amount Of Exotic Mattermentioning

confidence: 99%

Stability of Charged Thin-Shell Wormholes in (2+1) Dimensions

Banerjee

2013

Int J Theor Phys

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“…In recent several years, the possibility of stable wormholes in various theories of modified gravity has gathered attention and has been extensively investigated by many authors [29,30,[60][61][62][63][64][65][66][67][68][69][70]. However, the possibility of wormholes whose exotic matter is a pure tension brane has not yet fully been checked in those theories.…”

Section: Pure Tension Wormholes In Einstein 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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“…Though, using noncommutative BTZ black hole in the thin-shell wormhole construction is that, it is not asymptotically flat and therefore the wormholes are not asymptotically flat. Recently Mazharimousavi, Halilsoy and Amirabi [72] shown that a non-asymptotically flat black hole solution provides stable thin-shell wormholes which are entirely supported by exotic matter and quantified by the integral [73][74][75][76] where g represents the determinant of the metric tensor. Now, by introducing the radial coordinate R = r − a, we have…”

Section: Total Amount Of Exotic Mattermentioning

confidence: 99%

Stability of thin-shell wormholes from noncommutative BTZ black hole

Bhar

Banerjee

2015

Int. J. Mod. Phys. D

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In this paper, we construct thin-shell wormholes in (2+1)-dimensions from noncommutative BTZ black hole by applying the cut-and-paste procedure implemented by Visser. We calculate the surface stresses localized at the wormhole throat by using the Darmois-Israel formalism, and we find that the wormholes are supported by matter violating the energy conditions. In order to explore the dynamical analysis of the wormhole throat, we consider that the matter at the shell is supported by dark energy equation of state p = ωρ with ω < 0. The stability analysis is carried out of these wormholes to linearized spherically symmetric perturbations around static solutions. Preserving the symmetry we also consider the linearized radial perturbation around static solution to investigate the stability of wormholes which explored by the parameter β (speed of sound).

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d-Dimensional non-asymptotically flat thin-shell wormholes in Einstein–Yang–Mills-dilaton gravity

Cited by 26 publications

References 32 publications

Stability of Charged Thin-Shell Wormholes in (2+1) Dimensions

Stability of Charged Thin-Shell Wormholes in (2+1) Dimensions

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

Stability of thin-shell wormholes from noncommutative BTZ black hole

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