Hyperscaling-violating Lifshitz solutions in cubic gravity

Ganjali, Mohammad A.

doi:10.1103/physrevd.93.024002

Cited by 12 publications

(7 citation statements)

References 50 publications

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“…The properties of holographic superconductors were explored in [53][54][55]. Exact solution containing matter fields were constructed in [56][57][58][59][60] including also scalars conformally coupled to the quasi-topological densities [61]. The thermodynamics in the extended phase space for these theories was studied in [62] and [63].…”

Section: Jhep04(2017)066mentioning

confidence: 99%

Quintic quasi-topological gravity

Cisterna

Guajardo

Hassaı̈ne

et al. 2017

J. High Energ. Phys.

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We construct a quintic quasi-topological gravity in five dimensions, i.e. a theory with a Lagrangian containing R 5 terms and whose field equations are of second order on spherically (hyperbolic or planar) symmetric spacetimes. These theories have recently received attention since when formulated on asymptotically AdS spacetimes might provide for gravity duals of a broad class of CFTs. For simplicity we focus on five dimensions. We show that this theory fulfils a Birkhoff's Theorem as it is the case in Lovelock gravity and therefore, for generic values of the couplings, there is no s-wave propagating mode. We prove that the spherically symmetric solution is determined by a quintic algebraic polynomial equation which resembles Wheeler's polynomial of Lovelock gravity. For the black hole solutions we compute the temperature, mass and entropy and show that the first law of black holes thermodynamics is fulfilled. Besides of being of fourth order in general, we show that the field equations, when linearized around AdS are of second order, and therefore the theory does not propagate ghosts around this background. Besides the class of theories originally introduced in arXiv:1003.4773, the general geometric structure of these Lagrangians remains an open problem.

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Section: Jhep04(2017)066mentioning

confidence: 99%

Quintic quasi-topological gravity

Cisterna

Guajardo

Hassaı̈ne

et al. 2017

J. High Energ. Phys.

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“…By these assumptions, however, solving the equation (30) with G µν = 0 is a very hard task. However, one can show that the solutions with Lifschitz asymptotic do exist only for [10] α = 0, −1.…”

Section: Einstein+weyl-cubed Gravitymentioning

confidence: 99%

“…Indeed, first, one may ask weather the well-known solutions of the Einstein gravity are also the solutions of the cubic gravity or not. Moreover, one may search for backgrounds in which are absent in pure Einstein gravity [5,7,8,9,10]. Two classes of such solutions are Lifshitz and Schrödinger geometries.…”

Section: Introductionmentioning

confidence: 99%

Exact solutions in Weyl-cubed gravity

Ganjali

2019

Mod. Phys. Lett. A

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A unitary gravitational action up to third order of curvature in which respects to the holographic a−theorem has been constructed in [5]. In particular, its third order term is just the Weyl-cubed term in four dimensions.In this paper, we study this theory and find some its exact classical solutions. We show that the theory admits conformally flat, Lifshitz, Schrödinger and also hyperscaling-violating backgrounds as the solutions of equations of motion. Our analysis has been done for the pure Weyl-cubed gravity, Einstein plus Weyl-cubed term and gravity with matter.

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“…Also, a hyperscaling geometry may be obtained from a non-relativistic action such as Hořava-Lifshitz gravity with a small modification, assuming an rdependent or adding a non-relativistic matter [25]. Hyperscaling violating solutions can be also made by some ways such as: Einstein-Maxwell-dilaton gravity with R 2 corrections [26], coupled dilaton-squared curvature gravity [27], a theory obtained from non-supersymmetric truncations of ω-deformed N = 8 gauged supergravity [28], cubic gravity [29], Einstein-Maxwell-dilaton-axion model [30], a generalized Einstein-Maxwell-dilaton theory with an arbitrary number of scalars and vectors [31], a gravitational theory with two Maxwell fields, a dilatonic scalar and spatially dependent axions [32] and a generalized Einstein-Maxwell-dilaton theory with an additional vector field supporting spherical or hyperbolic horizons [33]. Various aspects of the holographic theories with a general dynamical exponent z and a hyperscaling violation exponent θ were analyzed in ref [34].…”

Section: Introductionmentioning

confidence: 99%

Effects of the hyperscaling violation and dynamical exponents on the imaginary potential and entropic force of heavy quarkonium via holography

Kioumarsipour

Sadeghi

2021

Eur. Phys. J. C

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The imaginary potential and entropic force are two important different mechanisms to characterize the dissociation of heavy quarkonia. In this paper, we calculate these two quantities in strongly coupled theories with anisotropic Lifshitz scaling and hyperscaling violation exponent using holographic methods. We study how the results are affected by the hyperscaling violation parameter $$ \theta $$ θ and the dynamical exponent z at finite temperature and chemical potential. Also, we investigate the effect of the chemical potential on these quantities. As a result, we find that both mechanisms show the same results: the thermal width and the dissociation length decrease as the dynamical exponent and chemical potential increase or as the hyperscaling violating parameter decreases.

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Hyperscaling-violating Lifshitz solutions in cubic gravity

Cited by 12 publications

References 50 publications

Quintic quasi-topological gravity

Quintic quasi-topological gravity

Exact solutions in Weyl-cubed gravity

Effects of the hyperscaling violation and dynamical exponents on the imaginary potential and entropic force of heavy quarkonium via holography

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