Wormholes in higher dimensional space-time: Exact solutions and their linear stability analysis

Terauchi, Takashi; Shinkai, H.

doi:10.1103/physrevd.88.064027

Cited by 62 publications

(57 citation statements)

References 23 publications

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“…If one works within general relativity, there are the following distinctive features and problems typical for most wormhole solutions obtained so far: (a) all such solutions are unstable [29][30][31][32][33][34][35] (see, however, Ref. [36] where it is shown that for some exotic equations of state one can obtain stable wormholes); (b) a static wormhole geometry requires the presence of exotic matter (at least near the throat).…”

Section: Introductionmentioning

confidence: 99%

Thin-shell toroidal wormhole

et al. 2019

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We consider a topologically nontrivial thin-shell wormhole with a throat in the form of a T 2 torus. It is shown that: (i) such a wormhole is stable with respect to excitations of the throat; (ii) not all energy conditions are violated for such wormholes; (iii) if any of the energy conditions is violated, this violation occurs only partially in some region near the throat, and in other regions the violation is absent. Also, we discuss the differences between spherical S 2 wormholes and toroidal T 2 wormholes under investigation.

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Section: Introductionmentioning

confidence: 99%

Thin-shell toroidal wormhole

et al. 2019

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“…Recently, the static Ellis wormhole solution has been generalized to spacetimes with higher dimensions [13,14]. Moreover, rotating generalizations of the Ellis wormhole in four and five dimensions have been found [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Spontaneous symmetry breaking in wormholes spacetimes with matter

et al. 2017

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When bosonic matter in the form of a complex scalar field is added to Ellis wormholes, the phenomenon of spontaneous symmetry breaking is observed. Symmetric solutions possess full reflection symmetry with respect to the radial coordinate of the two asymptotically flat spacetime regions connected by the wormhole, whereas asymmetric solutions do not possess this symmetry. Depending on the size of the throat, at bifurcation points pairs of asymmetric solutions arise from or merge with the symmetric solutions. These asymmetric solutions are energetically favoured. When the backreaction of the boson field is taken into account, this phenomenon is retained. Moreover, in a certain region of the solution space both symmetric and asymmetric solutions exhibit a transition from single throat to double throat configurations.

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“…A couple of years ago, we constructed Ellis-type solutions in higher-dimensional GR and reported stability analysis using a linear perturbation method [27]. The solutions have at least one negative mode, which leads to the conclusion that all Ellis-type (static and spherically symmetric) wormholes in GR are linearly unstable [44].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics in the Einstein-Gauss-Bonnet gravity

Shinkai

Terauchi

2017

Phys. Rev. D

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We numerically investigated how the nonlinear dynamics depends on the dimensionality and on the higher-order curvature corrections in the form of Gauss-Bonnet (GB) terms. We especially monitored the processes of appearances of a singularity (or black hole) in two models: (i) a perturbed wormhole throat in spherically symmetric space-time, and (ii) colliding scalar pulses in plane-symmetric space-time. We used a dual-null formulation for evolving the field equations, which enables us to locate the trapping horizons directly, and also enables us to follow close to the large-curvature region due to its causal integrating scheme. We observed that the fate of a perturbed wormhole is either a black hole or an expanding throat depending on the total energy of the structure, and its threshold depends on the coupling constant of the GB terms (αGB). We also observed that a collision of large scalar pulses will produce a large-curvature region, of which the magnitude also depends on αGB. For both models, the normal corrections (αGB > 0) work for avoiding the appearance of singularity, although it is inevitable. We also found that in the critical situation for forming a black hole, the existence of the trapped region in the Einstein-GB gravity does not directly indicate the formation of a black hole.

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Wormholes in higher dimensional space-time: Exact solutions and their linear stability analysis

Cited by 62 publications

References 23 publications

Thin-shell toroidal wormhole

Thin-shell toroidal wormhole

Spontaneous symmetry breaking in wormholes spacetimes with matter

Nonlinear dynamics in the Einstein-Gauss-Bonnet gravity

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