Hyperscaling-violating Lifshitz Solutions in Cubic Gravity

Abstract

Considering the cubic theory of gravity which has been constructed in \cite{myers}, we study the existence of Lifshitz and hyper scaling violating Lifshitz solutions. We firstly extend the black hole solution of \cite{myers} and find that such extended solutions are valid for any value of dynamical exponent $z$. Next, we examine the existence of the AdS black hole solution with non-zero hyperscaling-violating exponent $\theta$ and general dynamical exponent $z$. We find that the solutions do exist only for $\theta =0,3$ in 4 dimension and $\theta =0,4$ in 5 dimension. In particular, when $\theta =3(4)$ in $4(5)$ dimension, we have Lifshitz and Schwarzschild-AdS black hole solution solution for $z=\{0,1\}$.

20 pages, no figure, typos corrected, one reference added, Addditional constrain applied on solutions and accordingly the range of dynamical exponent z were more limited

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Cited by in corpus (8)

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• Effects of the hyperscaling violation and dynamical exponents on the imaginary potential and entropic force of heavy quarkonium via holography
• Scalar Perturbations of Nonlinear Charged Lifshitz Black Branes with Hyperscaling Violation
• Fermionic field perturbations of a three-dimensional Lifshitz black hole in conformal gravity
• Lifshitz and hyperscaling violated Yang-Mills-dilaton black holes
• Holographic Dissipative Properties of Non-relativistic Black Branes with Hyperscaling Violation
• Holographic real and imaginary potentials of heavy quarkonium in Yang-Mills-dilaton black holes
• Exact Solutions in Weyl-Cubed Gravity