Further holographic investigations of big bang singularities

Engelhardt, Netta; Hertog, Thomas; Horowitz, Gary T.

doi:10.1007/jhep07(2015)044

Cited by 41 publications

(76 citation statements)

References 33 publications

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“…To probe these fascinating phenomena in field theory, one should employ some non-local observables such as equal time two point correlation function for a scalar operator, Wilson loop, and holographic entanglement entropy, which are dual to the geodesic length, minimal area, and minimal volume individually in the saddle point approximation. It has been shown that these observables can probe the nonequilibrium thermalization behavior [4][5][6][7][8][9][10][11][12][13][14][15], superconducting phase transition [16][17][18][19][20][21][22][23], and cosmological singularity [24,25].…”

Section: Introductionmentioning

confidence: 99%

Phase structure of the Born–Infeld–anti-de Sitter black holes probed by non-local observables

Zeng

Liu

2016

Eur. Phys. J. C

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With the non-local observables such as two point correlation function and holographic entanglement entropy, we probe the phase structure of the Born-Infeld-anti-de Sitter black holes. For the case bQ > 0.5, where b is the BornInfeld parameter and Q is the charge of the black hole, the phase structure is found to be similar to that of the Van der Waals phase transition, namely the black hole undergoes a first order phase transition and a second order phase transition before it reaches a stable phase. While for the case bQ < 0.5, a new phase branch emerges besides the Van der Waals phase transition. For the first order phase transition, the equal area law is checked, and for the second order phase transition, the critical exponent of the heat capacity is obtained. All these results are found to be the same as that observed in the entropy-temperature plane.

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Section: Introductionmentioning

confidence: 99%

Phase structure of the Born–Infeld–anti-de Sitter black holes probed by non-local observables

Zeng

Liu

2016

Eur. Phys. J. C

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“…In order to investigate the behaviour of correlators near the singularity we follow the prescriptions of [10,12]. For the sake of brevity we fix the boundary at the radial slice r = r 0 = 1, and the turning point of the probe geodesic in the bulk at r = r * where we assume r * → 0.…”

Section: P > 0 Casementioning

confidence: 99%

“…We pursue the approach undertaken in [10,11,12]. Using the geodesic approximations we compute the two-point correlators for largely massive operators.…”

Section: Introductionmentioning

confidence: 99%

Towards timelike singularity via AdS dual

Bhowmick

Chatterjee

2017

Int. J. Mod. Phys. A

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It is well known that Kasner geometry with space-like singularity can be extended to bulk AdS-like geometry, furthermore one can study field theory on this Kasner space via its gravity dual. In this paper, we show that there exists a Kasner-like geometry with timelike singularity for which one can construct a dual gravity description. We then study various extremal surfaces including space-like geodesics in the dual gravity description. Finally, we compute correlators of highly massive operators in the boundary field theory with a geodesic approximation.

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“…Several important advances in this direction have been made, within the general framework of strings and holography, e.g. [3][4][5], and through the embedding of cosmological crunching geometries in Anti-de Sitter (AdS) spacetime [6][7][8][9], and more recently in [10,11]. The main goal in a holographic setting of this type is to find out how a given bulk (cosmological) singularity makes itself known within the dual quantum field theory.…”

Section: Introductionmentioning

confidence: 99%

“…The implication of the behaviour of such probe geodesics for frequency space (thermal) Wightman functions was worked out precisely in [13] applying a WKB approximation to wave equations in the bulk. The general idea of probing bulk singularities with correlators in the geodesic limit has proved to be extremely attractive and has been applied recently to deduce a direct signature of singularities in anisotropic Kasner-AdS solutions within the holographic setting [10,11,14].…”

Section: Introductionmentioning

confidence: 99%

Probing crunching AdS cosmologies

Kumar

Vaganov

2016

J. High Energ. Phys.

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Holographic gravity duals of deformations of CFTs formulated on de Sitter spacetime contain FRW geometries behind a horizon, with cosmological big crunch singularities. Using a specific analytically tractable solution within a particular single scalar truncation of N = 8 supergravity on AdS 4 , we first probe such crunching cosmologies with spacelike radial geodesics that compute spatially antipodal correlators of large dimension boundary operators. At late times, the geodesics lie on the FRW slice of maximal expansion behind the horizon. The late time two-point functions factorise, and when transformed to the Einstein static universe, they exhibit a temporal non-analyticity determined by the maximal value of the scale factorã max . Radial geodesics connecting antipodal points necessarily have de Sitter energy E ã max , while geodesics with E >ã max terminate at the crunch, the two categories of geodesics being separated by the maximal expansion slice. The spacelike crunch singularity is curved "outward" in the Penrose diagram for the deformed AdS backgrounds, and thus geodesic limits of the antipodal correlators do not directly probe the crunch. Beyond the geodesic limit, we point out that the scalar wave equation, analytically continued into the FRW patch, has a potential which is singular at the crunch along with complex WKB turning points in the vicinity of the FRW crunch. We then argue that the frequency space Green's function has a branch point determined byã max which corresponds to the lowest quasinormal frequency.

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Further holographic investigations of big bang singularities

Cited by 41 publications

References 33 publications

Phase structure of the Born–Infeld–anti-de Sitter black holes probed by non-local observables

Phase structure of the Born–Infeld–anti-de Sitter black holes probed by non-local observables

Towards timelike singularity via AdS dual

Probing crunching AdS cosmologies

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