Holographic entanglement entropy in time dependent Gauss-Bonnet gravity

Cáceres, Elena; Sanchez, Manuel; Virrueta, Julio

doi:10.1007/jhep09(2017)127

Cited by 19 publications

(19 citation statements)

References 85 publications

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“…Also, it is possible to explore the shape equations for a curve on a time-dependent surface, see [68] for work in this direction. We hope that some of the lessons discovered working in the latter setup will have some relevance in the study of entanglement entropy in out of equilibrium systems via holography, see [69,70].…”

Section: Remarks On Shapes In Euclidean Spacementioning

confidence: 99%

On the shape of things: From holography to elastica

2017

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We explore the question of which shape a manifold is compelled to take when immersed in another one, provided it must be the extremum of some functional. We consider a family of functionals which depend quadratically on the extrinsic curvatures and on projections of the ambient curvatures. These functionals capture a number of physical setups ranging from holography to the study of membranes and elastica. We present a detailed derivation of the equations of motion, known as the shape equations, placing particular emphasis on the issue of gauge freedom in the choice of normal frame. We apply these equations to the particular case of holographic entanglement entropy for higher curvature three dimensional gravity and find new classes of entangling curves. In particular, we discuss the case of New Massive Gravity where we show that non-geodesic entangling curves have always a smaller on-shell value of the entropy functional. Then we apply this formalism to the computation of the entanglement entropy for dual logarithmic CFTs. Nevertheless, the correct value for the entanglement entropy is provided by geodesics. Then, we discuss the importance of these equations in the context of classical elastica and comment on terms that break gauge invariance. * fonda@lorentz.leidenuniv.nl † vishnu@neo.phys.wits.ac.za ‡

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Section: Remarks On Shapes In Euclidean Spacementioning

confidence: 99%

On the shape of things: From holography to elastica

2017

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“…We are interested in solutions which reach z = 0 at some point x s , similar boundary conditions have been proposed for example in [52,53] . The point x s is, in fact, a singular point of the solutions.…”

Section: Subsystem Delineated Along the Longitudinal Directionmentioning

confidence: 99%

Analytic black branes in Lifshitz-like backgrounds and thermalization

Aref’eva

Golubtsova

Gourgoulhon

2016

J. High Energ. Phys.

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Using black brane solutions in 5d Lifshitz-like backgrounds with arbitrary dynamical exponent ν, we construct the Vaidya geometry, asymptoting to the Lifshitz-like spacetime, which represents a thin shell infalling at the speed of light. We apply the new Lifshitz-Vaidya background to study the thermalization process of the quark-gluon plasma via the thin shell approach previously successfully used in several backgrounds. We find that the thermalization depends on the chosen direction because of the spatial anisotropy. The plasma thermalizes thus faster in the transversal direction than in the longitudinal one. To probe the system described by the Lifshitz-like backgrounds, we also calculate the holographic entanglement entropy for the subsystems delineated along both transversal and longitudinal directions. We show that the entropy has some universality in the behavior for both subsystems. At the same time, we find that certain characteristics strongly depend on the critical exponent ν.

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“…In this paper, we study the extension of the Ryu-Takayanagi formula in a different direction: the bulk gravity theory includes non-minimally coupled matter. Curiously, while the literature on holographic entanglement in higher curvature theories (such as Lovelock gravity) is already extensive [11][12][13][14][15][16][17], far less attention has been paid to the case of non-minimal coupling. And the efforts have been concentrated in couplings of the type ΦR.…”

Section: Introductionmentioning

confidence: 99%

On holographic entanglement entropy of Horndeski black holes

Cáceres

Mohan

Nguyen

2017

J. High Energ. Phys.

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We study entanglement entropy in a particular tensor-scalar theory: Horndeski gravity. Our goal is two-fold: investigate the Lewkowycz-Maldacena proposal for entanglement entropy in the presence of a tensor-scalar coupling and address a puzzle existing in the literature regarding the thermal entropy of asymptotically AdS Horndeski black holes. Using the squashed cone method, i.e. turning on a conical singularity in the bulk, we derive the functional for entanglement entropy in Horndeski gravity. We analyze the divergence structure of the bulk equation of motion. Demanding that the leading divergence of the transverse component of the equation of motion vanishes we identify the surface where to evaluate the entanglement functional. We show that the surface obtained is precisely the one that minimizes said functional. By evaluating the entanglement entropy functional on the horizon we obtain the thermal entropy for Horndeski black holes; this result clarifies discrepancies in the literature. As an application of the functional derived we find the minimal surfaces numerically and study the entanglement plateaux.

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Holographic entanglement entropy in time dependent Gauss-Bonnet gravity

Cited by 19 publications

References 85 publications

On the shape of things: From holography to elastica

On the shape of things: From holography to elastica

Analytic black branes in Lifshitz-like backgrounds and thermalization

On holographic entanglement entropy of Horndeski black holes

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