Thermodynamics of Schr\"{o}dinger black holes with hyperscaling violation

TL;DR

This paper investigates the thermodynamics and transport properties of Schr"{o}dinger black holes with hyperscaling violation using AdS light-cone frame, highlighting the dependence on hyperscaling parameter and extending to R-charged black holes.

Contribution

It derives thermodynamic and transport properties of Schr"{o}dinger black holes with hyperscaling violation and constructs R-charged black holes with these features, extending prior work.

Findings

Entropy and temperature depend on hyperscaling parameter .

Results agree with previous work when =0.

Constructed R-charged black holes with hyperscaling violation.

Abstract

In this work, we follow Kim and Yamada (JHEP1107 (2011) 120) and utilize AdS in light-cone frame to derive thermodynamic and transport properties of two kinds of Schr\"{o}dinger black holes with hyperscaling violation. In that case, we show entropy and temperature are depend on $\theta$. In $\theta=0$ we see our results are agree with the work of Kim and Yamada. We also construct R-charged black hole with hyperscaling violation and obtain thermodynamics and transport properties.