Axionic black branes in the 
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-essence sector of the Horndeski model

Cisterna, Adolfo; Oliva, Julio; Rinaldi, Massimiliano

doi:10.1103/physrevd.96.124033

Cited by 40 publications

(44 citation statements)

References 91 publications

(110 reference statements)

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“…Horndeski gravity is the most general scalar-tensor theory that was originally discovered in 1974 [2][3][4][5] and is characterized by a single scalar-tensor theory with second-order field equations and second order energy-momentum tensor. The Lagrangian producing second order equations of motion as discussed in [3,4,[6][7][8][9]12] includes four arbitrary functions of the scalar field and its kinetic term [10,11]. The term we shall focus our attention includes a nonminimal coupling between the standard scalar kinetic term and the Einstein tensor.…”

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confidence: 99%

“…They, for instance, can be dual to strongly coupled plasma and allow to determine hydrodynamic and thermodynamic properties. Black branes in the context of the Horndeski gravity have been proposed recently [12] in a particular sector of the theory, well known as K-essence sector, which are supported by axion scalar fields that depend on the horizon coordinates. Further scenarios involving descriptions of static black branes supported by axionic scalars/two 3-form fields were proposed in [18].…”

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confidence: 99%

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Black brane in asymptotically Lifshitz spacetime and viscosity/entropy ratios in Horndeski gravity

Brito¹,

Santos²

2020

EPL

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We investigate black brane solutions in asymptotically Lifshitz spacetime in 3+1dimensional Horndeski gravity, which parameters are related to the cosmological constant as α = γΛ and depend on arbitrary values of the dynamical critical exponent z since Λ = −(1 + 2z)/L 2 . For the case z = 1 we recover black brane solutions in asymptotically AdS 4 spacetime. We also investigate the shear viscosity in the 2+1dimensional dual boundary field theory via holographic correspondence. We show that for arbitrary values of AdS radius L, only two specific critical exponents are allowed: z = −0.3 or z = 3.3. At the former value, we find that the bound for viscosity to entropy density ratio η/s ≥ 1/(4π) is violated.

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confidence: 99%

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Black brane in asymptotically Lifshitz spacetime and viscosity/entropy ratios in Horndeski gravity

Brito¹,

Santos²

2020

EPL

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“…An interesting extension of our model will be to consider an additional k−essence term for the axionic part of the action and to analyze the effects on the conductivities of the nonminimal coupling parameter ξ conjugated with the k−essence parameter, see Ref. [24]. In the same lines a natural generalization of these solutions would be the extension to higher dimensional scenarios following the lines of [32].…”

Section: Resultsmentioning

confidence: 99%

Axionic charged black branes with arbitrary scalar nonminimal coupling

Cisterna¹,

Guajardo

2019

Eur. Phys. J. C

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In this paper, we construct four-dimensional charged black branes of a nonminimally coupled and self-interacting scalar field. In addition to the scalar and Maxwell fields, the model involves two axionic fields homogeneously distributed along the two-dimensional planar base manifold providing in turn a simple mechanism of momentum dissipation. Interestingly enough, the horizon of the solution can be set at two different positions, whose locations depend on the axionic parameter, and in both cases there exists a wide range of values of the nonminimal coupling parameter yielding physical acceptable solutions. For one of our solutions, the allowed nonminimal coupling parameters take discrete values and it turns out to be extremal since its has zero temperature. A complete analysis of the thermodynamical features of the solutions is also carried out. Finally, thanks to the mechanism of momentum dissipation, the holographic DC conductivities of the solutions are computed in term of the black hole horizon data, and we analyze the effects of the nonminimal coupling parameter on these conductivities. For example, we notice that for the non extremal solutions, there always exists a nonminimal coupling (which is greater than the conformal one in four dimensions) yielding perfect conductivity in the sense that the conductivity is infinite. Even more astonishing, the conductivity matrix for the extremal solutions has a Hall effect-like behavior.

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“…In recent years one has been proposed models involving modifications of General Relativity [3][4][5]. In such modifications are maintained some of its essential properties such as a second order of the equations of motion arising from a diffeomorphism-invariant action and keeping the Lorentz invariance.…”

Section: Introductionmentioning

confidence: 99%

“…It is a general single scalar field-tensor theory with second-order field equations and second order energymomentum tensor. The Lagrangian producing second order equations of motion as discussed in [4,16,[20][21][22][23][24] includes four arbitrary functions of the scalar field and its kinetic term [3,25]. The term that we are interested in includes a nonminimal coupling between the standard scalar kinetic term and the Einstein tensor.…”

Section: Introductionmentioning

confidence: 99%

Modeling Dark Sector in Horndeski Gravity at First-Order Formalism

Santos

Neves

Brito

2019

Advances in High Energy Physics

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We investigate a cosmological scenario by finding solutions using first-order formalism in the Horndeski gravity that constrains the superpotential and implies that no free choice of scalar potential is allowed. Despite this we show that a de Sitter phase at late-time cosmology can be realized, where the dark energy sector can be identified. The scalar field equation of state tends to the cosmological scenario at present time and allows us to conclude that it can simulate the dark energy in the Horndeski gravity. * Electronic address: fabiano.

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Axionic black branes in the k -essence sector of the Horndeski model

Cited by 40 publications

References 91 publications

Black brane in asymptotically Lifshitz spacetime and viscosity/entropy ratios in Horndeski gravity

Black brane in asymptotically Lifshitz spacetime and viscosity/entropy ratios in Horndeski gravity

Axionic charged black branes with arbitrary scalar nonminimal coupling

Modeling Dark Sector in Horndeski Gravity at First-Order Formalism

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