Universal Resistivity from Holographic Massive Gravity

TL;DR

This paper derives a universal analytic expression for DC conductivity in holographic massive gravity models, linking it to horizon properties and confirming consistent black hole thermodynamics at finite temperature and charge density.

Contribution

It introduces a universal formula for DC conductivity in holographic massive gravity, applicable at finite temperature and charge density, based on horizon characteristics.

Findings

Derived an analytic expression for DC conductivity.

Showed the universality of the result across models.

Confirmed thermodynamic consistency of black holes in this framework.

Abstract

Massive gravity provides a holographic model for theories exhibiting momentum dissipation. We provide an analytic expression for the DC conductivity. The result is universal, depending only on properties of the infra-red horizon, and holds at finite temperature and charge density. In addition, we provide a derivation of black hole thermodynamics in holographic massive gravity and show that the resulting physics is sensible.