Lorentzian wormholes in Einstein-Gauss-Bonnet theory

Bhawal, B.; Kar, Sayan

doi:10.1103/physrevd.46.2464

Cited by 228 publications

(177 citation statements)

References 17 publications

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“…The fact that wormholes require 'exotic matter' in Einstein gravity was already discussed in [26]. Wormhole solutions with matter source in Einstein-Gauss-Bonnet have been considered in the past [28,29]. There is even another example of a vacuum wormhole which is already known [30].…”

Section: Commentsmentioning

confidence: 99%

“Mass without mass” from thin shells in Gauss-Bonnet gravity

Gravanis

Willison

2007

Phys. Rev. D

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Five tensor equations are obtained for a thin shell in Gauss-Bonnet gravity. There is the well known junction condition for the singular part of the stress tensor intrinsic to the shell, which we also prove to be well defined. There are also equations relating the geometry of the shell (jump and average of the extrinsic curvature as well as the intrinsic curvature) to the non-singular components of the bulk stress tensor on the sides of the thin shell.The equations are applied to spherically symmetric thin shells in vacuum. The shells are part of the vacuum, they carry no energy tensor. We classify these solutions of 'thin shells of nothingness' in the pure Gauss-Bonnet theory. There are three types of solutions, with one, zero or two asymptotic regions respectively. The third kind of solution are wormholes. Although vacuum solutions, they have the appearance of mass in the asymptotic regions. It is striking that in this theory, exotic matter is not needed in order for wormholes to exist-they can exist even with no matter.

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Section: Commentsmentioning

confidence: 99%

“Mass without mass” from thin shells in Gauss-Bonnet gravity

Gravanis

Willison

2007

Phys. Rev. D

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“…In particular, wormholes in Einstein-Gauss-Bonnet gravity were considered in Ref. [22]. In the present work, the idea is then to use Lorentzian wormholes as a test bed to explore some of the qualitative changes that could happen in General Relativity with the addition of a Gauss-Bonnet term.…”

Section: Introductionmentioning

confidence: 99%

“…Lorentzian wormholes in spacetimes with more than four dimensions were analyzed by several researchers [22,23]. In particular, wormholes in Einstein-Gauss-Bonnet gravity were considered in Ref.…”

Section: Introductionmentioning

confidence: 99%

Thin-shell wormholes in Einstein–Maxwell theory with a Gauss–Bonnet term

2006

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We study five dimensional thin-shell wormholes in Einstein-Maxwell theory with a GaussBonnet term. The linearized stability under radial perturbations and the amount of exotic matter are analyzed as a function of the parameters of the model. We find that the inclusion of the quadratic correction substantially widens the range of possible stable configurations, and besides it allows for a reduction of the exotic matter required to construct the wormholes.

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“…Euclidean wormholes have been studied by Gonzales-Diaz and by Jianjun and Sicong [11] for example. The Lorentzian ones have been studied in the context of the n-dimensional Einstein-Gauss-Bonnet theory of gravitation [12]. Evolving higher dimensional wormholes have been studied by Kar and Sahdev and by A. DeBenedictis and Das [13,14].…”

Section: Introductionmentioning

confidence: 99%

Self-dual Lorentzian wormholes inn-dimensional Einstein gravity

2002

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A family of spherically symmetric, static and self-dual Lorentzian wormholes is obtained in n-dimensional Einstein gravity. This class of solutions includes the n-dimensional versions of the Schwarzschild black hole and the spatial-Schwarzschild traversable wormhole. Using isotropic coordinates we study the geometrical structure of the solution, and delineate the domains of the free parameters for which wormhole, naked singular geometries and the Schwarzschild black hole are obtained. It is shown that, in the lower dimensional Einstein gravity without cosmological constant, we can not have self-dual Lorentzian wormholes.

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Lorentzian wormholes in Einstein-Gauss-Bonnet theory

Cited by 228 publications

References 17 publications

“Mass without mass” from thin shells in Gauss-Bonnet gravity

“Mass without mass” from thin shells in Gauss-Bonnet gravity

Thin-shell wormholes in Einstein–Maxwell theory with a Gauss–Bonnet term

Self-dual Lorentzian wormholes inn-dimensional Einstein gravity

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