Lorentzian wormholes in Lovelock gravity

Dehghani, M.; Dayyani, Z.

doi:10.1103/physrevd.79.064010

Cited by 45 publications

(53 citation statements)

References 33 publications

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“…Finding an explicit Euclidean metric that fulfills the required conditions turned out to be not a simple task and it is then left as an open problem. Indeed, product manifolds of constant curvature solving both (15) and (16) for certain fixed radii, simultaneously make the d − 3-form (14) to vanish, making the g tt component of the metric to be undetermined. Different classes of solutions with nontrivial geometries at the boundary for Lovelock theories in vacuum have also been considered in e.g.…”

Section: Summary and Discussionmentioning

confidence: 99%

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Asymptotically Lifshitz wormholes and black holes for Lovelock gravity in vacuum

Matulich

Troncoso

2011

J. High Energ. Phys.

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Static asymptotically Lifshitz wormholes and black holes in vacuum are shown to exist for a class of Lovelock theories in d = 2n + 1 > 7 dimensions, selected by requiring that all but one of their n maximally symmetric vacua are AdS of radius l and degenerate. The wormhole geometry is regular everywhere and connects two Lifshitz spacetimes with a nontrivial geometry at the boundary. The dynamical exponent z is determined by the quotient of the curvature radii of the maximally symmetric vacua according to n(L 2 , where L 2 corresponds to the curvature radius of the nondegenerate vacuum. Light signals are able to connect both asymptotic regions in finite time, and the gravitational field pulls towards a fixed surface located at some arbitrary proper distance to the neck. The asymptotically Lifshitz black hole possesses the same dynamical exponent and a fixed Hawking temperature given by T = z 2 z πl . Further analytic solutions, including pure Lifshitz spacetimes with a nontrivial geometry at the spacelike boundary, and wormholes that interpolate between asymptotically Lifshitz spacetimes with different dynamical exponents are also found.

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Section: Summary and Discussionmentioning

confidence: 99%

“…[9][10][11][12][13][14]. Besides, spacetimes with unusual asymptotic behaviour, possessing anisotropic scaling symmetries at infinity, can be obtained from General Relativity once endowed with "unfamiliar and contrived" matter fields (see e.g.…”

Section: Introductionmentioning

confidence: 99%

Asymptotically Lifshitz wormholes and black holes for Lovelock gravity in vacuum

Matulich

Troncoso

2011

J. High Energ. Phys.

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“…In this work, we provided a counterexample to this claim, and found for the first time solutions that satisfy the WEC throughout the entire spacetime. In this context, it would be interesting to extend the analysis carried out in third order Lovelock gravity considered in [15], where it was shown that a negative third order coupling constant enlarges the radius of the region of normal matter relative to the second order theory, and perhaps it may be possible to find solutions that satisfy the WEC throughout the entire spacetime. Work along these lines is presently underway.…”

Section: Discussionmentioning

confidence: 99%

“…Theses violations are derived from the flaring-out condition of the wormhole throat. On the other hand, the energy conditions can be satisfied in the vicinity of static wormhole throats in higher dimensional alternative theories [15,17] and the whole space-time in the case of higher order curvature terms [11], and dynamic wormholes [18]. In the context of the local energy conditions, we examine the weak energy condition (WEC), i.e., T µν U µ U ν ≥ 0 where U µ is a timelike vector.…”

Section: Wormhole Solutionsmentioning

confidence: 99%

“…Thus, one is motivated in exploring wormhole geometries in higher-dimensional theories, due to the fact that these alleviate the violation of the energy conditions, at least at the throat. Of particular interest are the n-dimensional Lorentzian wormhole geometries [15] that were explored in Lovelock gravity [16], which is the most general theory of gravitation in n dimensions. In contrast to Einstein gravity, it was found that the wormhole throat radius has a lower limit that depends on the Lovelock coefficients, the dimensionality of the spacetime and the shape function.…”

Section: Introductionmentioning

confidence: 99%

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Einstein-Gauss-Bonnet traversable wormholes satisfying the weak energy condition

2015

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In this paper, we explore higher-dimensional asymptotically flat wormhole geometries in the framework of Gauss-Bonnet (GB) gravity and investigate the effects of the GB term, by considering a specific radial-dependent redshift function and by imposing a particular equation of state. This work is motivated by previous assumptions that wormhole solutions were not possible for the k = 1 and α < 0 case, where k is the sectional curvature of an (n − 2)-dimensional maximally symmetric space, and α is the Gauss-Bonnet coupling constant. However, we emphasize that this discussion is purely based on a nontrivial assumption that is only valid at the wormhole throat, and cannot be extended to the entire radial-coordinate range. In this work, we provide a counterexample to this claim, and find for the first time specific solutions that satisfy the weak energy condition throughout the entire spacetime, for k = 1 and α < 0. In addition to this, we also present other wormhole solutions which alleviate the violation of the WEC in the vicinity of the wormhole throat.

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On holographic entanglement entropy and higher curvature gravity

Hung

Myers

Smolkin

2011

J. High Energ. Phys.

236

452

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We examine holographic entanglement entropy with higher curvature gravity in the bulk. We show that in general Wald's formula for horizon entropy does not yield the correct entanglement entropy. However, for Lovelock gravity, there is an alternate prescription which involves only the intrinsic curvature of the bulk surface. We verify that this prescription correctly reproduces the universal contribution to the entanglement entropy for CFT's in four and six dimensions. We also make further comments on gravitational theories with more general higher curvature interactions. A. Fefferman-Graham expansion 40 B. Curved boundaries 41 C. EE in the GB gravity 44 C.1 EE for a sphere with general d 45 C.2 Spherical entangling surfaces beyond GB gravity. 47 C.3 EE for a cylinder with general d 48 D. Curvature tensor for a warped geometry 50 -1 -1If the calculation is done in a Minkowski signature background, the extremal area is only a saddle point. However, if one first Wick rotates to Euclidean signature, the extremal surface will yield the minimal area. In either case, the area must be suitably regulated to produce a finite answer. Note that for a d-dimensional boundary theory, the bulk has d + 1 dimensions while the surface m has d − 1 dimensions. We are using 'area' to denote the (d − 1)-dimensional volume of m.3 Here, we follow closely the notation of [19].

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Lorentzian wormholes in Lovelock gravity

Cited by 45 publications

References 33 publications

Asymptotically Lifshitz wormholes and black holes for Lovelock gravity in vacuum

Asymptotically Lifshitz wormholes and black holes for Lovelock gravity in vacuum

Einstein-Gauss-Bonnet traversable wormholes satisfying the weak energy condition

On holographic entanglement entropy and higher curvature gravity

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