Logarithmic curvature correction to Lifshitz and hyperscaling violation geometries
arXiv:1410.1032
Abstract
In this note we consider the logarithmic curvature correction to Lifshitz and hyper scaling violation geometries. We investigate the effect of this correction to the gauge kinetic function f and the effective potential V . For the case of hyper scaling violating we show that the coupling between dilaton and the correction terms exhibit the logarithmic behavior for dilaton like for the case of squared curvature correction. We find the unexpected form of gauge kinetic function and potential in the presence of logarithmic terms. We try to resolve the IR singularity of Lifshitz and hyperscaling violation geometries by adding the logarithmic term.
10 pages
References in corpus (6)
- Non-relativistic holography
- Holography of Dyonic Dilaton Black Branes
- One-loop Modified Gravity in de Sitter Universe, Quantum Corrected Inflation, and its Confrontation with the Planck Result
- Hyperscaling Violating Solution in Coupled Dilaton-Squared Curvature Gravity
- Intermediate scalings in holographic RG flows and conductivities
- Higher-curvature corrections to holographic entanglement entropy in geometries with hyperscaling violation