Does the Gauss–Bonnet term stabilize wormholes?

Kokubu, Takafumi; Maeda, Hideki; Harada, Tomohiro

doi:10.1088/0264-9381/32/23/235021

Cited by 16 publications

(16 citation statements)

References 57 publications

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“…We should probably add that wormhole solutions in 5-dimensional EGB theory (1) have already been discussed in the literature [19,20,23,21,24]. Our solutions, however, differ from those considered before in many aspects.…”

Section: Introductionmentioning

confidence: 63%

“…The latter equations and conditions give the relations between y, m i , m, q and λ compatible with the static vacuum bubble. Note that the positivity of each side in (24) is fixed by the aforementioned conditions and, therefore, M < M i for the construction of the bubbles.…”

Section: Wormhole Solutionmentioning

confidence: 99%

“…yielding stable symmetric vacuum throats in every case, cf. [24]. The complete stability of shells in the wormhole we are interested in will exclusively depend on stability of the bubbles.…”

Section: Stability Analysismentioning

confidence: 99%

“…Related to this, it is important to mention that the solutions we consider here also differ from those considered in reference [38], where non-GR branches were also considered: In contrast to those in [38], the solutions we construct here have attached an asymptotic region with arbitrary small effective cosmological constant. In addition, the presence of the electric flux renders our solutions stable under scalar perturbations, unlike those in [38]; this also makes our solutions different from those analyzed, for instance, in [24]. This paper is organized as follows: In section 2, we will consider the spherically symmetric, static solutions to the higher-curvature theory coupled to a Maxwell field.…”

Section: Introductionmentioning

confidence: 99%

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Traversable wormholes in five-dimensional Lovelock theory

2019

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In general relativity, traversable wormholes are possible provided they do not represent shortcuts in the spacetime. Einstein equations, together with the achronal averaged null energy condition, demand to take longer for an observer to go through the wormhole than through the ambient space. This forbids wormholes connecting two distant regions in the space. The situation is different when higher-curvature corrections are considered. Here, we construct a traversable wormhole solution connecting two asymptotically flat regions, otherwise disconnected. This geometry is an electro-vacuum solution to Lovelock theory of gravity coupled to an Abelian gauge field. The electric flux suffices to support the wormhole throat and to stabilize the solution.In fact, we show that, in contrast to other wormhole solutions previously found in this theory, the one constructed here turns out to be stable under scalar perturbations. We also consider wormholes in AdS. We present a protection argument showing that, while stable traversable wormholes connecting two asymptotically locally AdS 5 spaces do exist in the higher-curvature theory, the region of the parameter space where such solutions are admitted lies outside the causality bounds coming from AdS/CFT. 1 arXiv:1906.02407v2 [hep-th] 30 Jul 2019 1 There have been other interesting papers recently on wormhole geometries; see for instance [14,15,16,17] and references therein and thereof.2 In dimension greater than four, higher-curvature terms do not necessarily yield higher-order terms in the field equations. They can well lead to second-order field equations that are non-linear in the second derivative of the fields.3 The first higher-curvature correction of M theory in 11 dimensions is a quartic term, R 4 [27,28]. When compactifying the theory on a 6-dimensional Calabi-Yau, the effective 5-dimensional theory exhibits R 2 terms as those in (1); see for instance Eqs. (2.6)-(2.9) in [27]; see also Eq. (1) in [29]

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Section: Introductionmentioning

confidence: 63%

Section: Wormhole Solutionmentioning

confidence: 99%

Section: Stability Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Traversable wormholes in five-dimensional Lovelock theory

2019

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“…We consider the perturbative dynamics of thinshells supporting wormholes in the frameworks of four-dimensional dilaton gravity and in five-dimensional Einstein-Gauss-Bonnet gravity. Within the linearized stability analysis all the examples here examined admited static stable configurations [9,10,11,12,13];…”

Section: Introductionmentioning

confidence: 99%

Perturbative dynamics of thin-shell wormholes beyond general relativity: An alternative approach

Celis

Tomasini

Simeone

2017

Int. J. Mod. Phys. D

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Recent studies relating the approximations for the equations of state for thin shells and their consequent perturbative evolution are extended to thin-shell wormholes in theories beyond general relativity and more than four spacetime dimensions. The assumption of equations of state of the same form for static and slowly evolving shells appears as a strong restriction excluding the possibility of oscillatory evolutions. Then the new results considerably differ from previous ones obtained within the usual linearized approach.

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