Holography of charged black holes withRF2corrections

Abstract

We investigate several holographic properties of charged black holes with RF 2 corrections, which originate from Kaluza-Klein reductions of five-dimensional GaussBonnet gravity. We obtain the perturbative solution and discuss its thermodynamics. The DC conductivity is calculated via the effective action approach and the corrections to the DC conductivity are also evaluated. Moreover, we calculate the shear viscosity η and thermal conductivity κ T , as well as two interesting ratios η/s and κ T µ 2 /(ηT ). We find that both bounds conjectured in the literatures can be violated in the presence of the higher-order corrections RF 2 .

Higher-derivative scalar-vector-tensor theories: black holes, Galileons, singularity cloaking and holography

“…In particular, the dependence of the result of [146] onα is correctly reproduced from the (neutral) five-dimensional η/s ratio. For non-zero charge, the answers differ since our solution is not a correction to the Reissner-Nordström black hole.…”

“…One can compare our result (4.17) to that of [146], where a higher-order correction to the Reissner-Nordström black hole P λµνρ F λµ F νρ is considered for p = 3. Our result agrees with theirs in the zero charge limit, after matching conventions and defining an effective coupling for the gauge field g F = 2Le −φ/ √ 3 and an effective AdS radius L e = Le φ/2 √ 3 .…”

Holographic Superconductor Models with RF 2 Corrections

“…we consider a Maxwell field and a charged complex scalar field coupled in the background of a d -dimensional spacetime via the action [29,30] …”

“…They argued that this correction term arises from the Kaluza-Klein reduction of five dimensional Gauss-Bonnet gravity and can produce second-order equations of motion for both the gauge field and metric in any general background [29]. Cai and Pang studied the holographic properties of charged black holes with RF 2 corrections and observed that this correction will affect the DC conductivity [30]. Considering this new form of higher derivative corrections, we wonder how the properties of the holographic superconductors will be modified.…”

Analysis of generalized ghost version of pilgrim dark energy

“…This model helps in alleviating the fine tuning as well as cosmic coincidence problem (Urban and Zhitnitsky 2009a, 2009b, 2010a, 2010b, 2011Forbes and Zhitnitsky 2008). Several theoretical aspects have been investigated for this model (Ebrahimi and Sheykhi 2011;Sheykhi and Sadegh 2012;Sheykhi and Bagheri 2011;Rozas-Fernandez 2012;Karami and Fahimi 2013) and tested thorough different observational schemes (Cai et al 2011).…”