Linear stability analysis of a rotating thin-shell wormhole

Tsukamoto, Naoki; Kokubu, Takafumi

doi:10.1103/physrevd.98.044026

Cited by 34 publications

(12 citation statements)

References 90 publications

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“…They determined the properties of wormholes and described the relation between black holes and wormholes. Subsequently, many authors have been studied wormholes in different contexts [65][66][67][68][69][70][71][72][73][74][75]. Recently, Barros and Lobo [76] used three form fields and studied static and spherically symmetric wormhole structures.…”

Section: Introductionmentioning

confidence: 99%

Traversable wormholes and energy conditions with two different shape functions in f(R) gravity

Godani

Samanta

2019

Int. J. Mod. Phys. D

112

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Traversable wormholes, tunnel like structures introduced by Morris & Thorne [1], have a significant role in connection of two different space-times or two different parts of the same space-time. The characteristics of these wormholes depend upon the redshift and shape functions which are defined in terms of radial coordinate. In literature, several shape functions are defined and wormholes are studied in f (R) gravity with respect to these shape functions [55,57,60]. In this paper, two shape functions (i) b(r) = r 0 log(r + 1) log(r 0 + 1) and (ii) b(r) = r 0 ( r r 0 ) γ , 0 < γ < 1 are considered. The first shape function is newly defined, however the second one is collected from the literature [77]. The wormholes are investigated for each type of shape function in f (R) gravity with f (R) = R + αR m − βR −n , where m, n, α, and β are real constants. Varying parameters α or β, f (R) model is studied in five subcases for each type of shape function. In each case, the energy density, radial & tangential pressures, energy conditions that include null energy condition, weak energy condition, strong energy condition & dominated energy condition, and anisotropic parameter are computed. The energy density is found to be positive and all energy conditions are obtained to be violated which supports the existence of wormholes. Also, the equation of state parameter is obtained to possess values less than -1, that shows the presence of the phantom fluid and leads towards the expansion of the universe.

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Section: Introductionmentioning

confidence: 99%

Traversable wormholes and energy conditions with two different shape functions in f(R) gravity

Godani

Samanta

2019

Int. J. Mod. Phys. D

112

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“…Dias and Lemos studied stability in higher dimensional Einstein gravity [32]. Thin-shell wormholes can also be constructed in extended gravity models [33][34][35] (see [36][37][38][39][40][41][42][43][44][45][46] for recent progress on thin-shell wormhole and its applications).…”

Section: Thin-shell Wormholesmentioning

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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“…Sajadi and Riazi [56] obtained static multi-polytropic wormhole solutions in the framework of general relativity, and they examine gravitational lensing by the wormhole, and calculate the deflection angle for weak and strong field limits as well. Subsequently, various authors have been studied wormholes in different contexts [57][58][59][60][61][62][63][64][65][66][67]. Recently, Barros and Lobo [68] used three form fields and studied static and spherically symmetric wormhole structures.…”

Section: Introductionmentioning

confidence: 99%

Validation of energy conditions in wormhole geometry within viable f(R) gravity

2019

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In this work, wormholes, tunnel like structures introduced by Morris & Thorne [1], are explored within the framework of f (R) gravity. Using the shape function b(r) = r 0where 0 < γ < 1, and the equation of state p r = ωρ, the f (R) function is derived and the field equations are solved. Then null, weak, strong and dominated energy conditions are analyzed and spherical regions satisfying these energy conditions are determined. Furthermore, we calculated the range of the radius of the throat of the wormhole, where the energy conditions are satisfied.

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Linear stability analysis of a rotating thin-shell wormhole

Cited by 34 publications

References 90 publications

Traversable wormholes and energy conditions with two different shape functions in f(R) gravity

Traversable wormholes and energy conditions with two different shape functions in f(R) gravity

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

Validation of energy conditions in wormhole geometry within viable f(R) gravity

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