Hyperscaling Violating Solution in Coupled Dilaton-Squared Curvature Gravity

Abstract

Considering a model with Coupled Dilaton-Squared Curvature terms and a dilatonic potential which replace the cosmological constant, we present an analytic hyperscaling violating solution which is the generalization of arXiv:1305.3279 for non zero $\theta$. We show that a specific coupling between dilaton and the squared curvature terms produces a simple logarithmic behavior for the dilaton. By imposing the null energy condition and stability constraints, we investigate the allowed regions for the parameters of this model. We then study the perturbations around $\mathrm{Ad}{\mathrm{S}}_4$ in the UV and ${\mathrm{AdS}}_2\times {\mathbb{R}}^2$ in the IR of the Einstein-Weyl gravity which can support an intermediate hyperscaling violating solution in order to resolve the $\mathrm{IR}$ singularity of the metric in 4d.

21 Pages, 17 figures, references added

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Cited by in corpus (22)

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• Hyperscaling violating black holes with spherical and hyperbolic horizons
• The connection between holographic entanglement and complexity of purification
• On complexity growth in massive gravity theories, the effects of chirality and more
• Intermediate scalings in holographic RG flows and conductivities
• Complexity growth rate during phase transitions
• Hyperscaling Violating Solutions in Generalised EMD Theory
• Complexity and Emergence of Warped ${\text{AdS}}_3$ Space-time from Chiral Liouville Action
• Higher-curvature corrections to holographic entanglement entropy in geometries with hyperscaling violation
• Hyperscaling-violating Lifshitz Solutions in Cubic Gravity
• The Lifshitz black branes and DC transport coefficients in massive Einstein-Maxwell-dilaton gravity
• History of cosmic evolution with modified Gauss-Bonnet-dilatonic coupled term
• Interpolating solution from AdS${}_5$ to hyperscaling violating Lifshitz space-time
• Effects of the hyperscaling violation and dynamical exponents on the imaginary potential and entropic force of heavy quarkonium via holography
• On universal terms of holographic entanglement entropy in theories with hyperscaling violation
• Lifshitz and hyperscaling violated Yang-Mills-dilaton black holes
• Holographic real and imaginary potentials of heavy quarkonium in Yang-Mills-dilaton black holes
• Holographic superconductor in hyperscaling violation geometry with Maxwell-dilaton coupling
• Beyond AdS Space-times, New Holographic Correspondences and Applications
• Logarithmic curvature correction to Lifshitz and hyperscaling violation geometries
• Exact Solutions in Weyl-Cubed Gravity
• Flow of shear response functions in hyperscaling violating Lifshitz theories