Ghost free massive gravity with singular reference metrics

TL;DR

This paper proves that massive gravity theories with singular reference metrics, which model momentum dissipation in gauge/gravity duality, are free of ghost instabilities, enabling realistic descriptions of conductors.

Contribution

It demonstrates that massive gravity with singular reference metrics is ghost-free, providing a consistent framework for modeling momentum dissipation in holographic conductors.

Findings

Massive gravity with singular reference metrics is shown to be ghost-free.

The framework models electric and heat conductivity in normal conductors.

Supports gauge/gravity duality applications for condensed matter physics.

Abstract

An auxiliary metric (reference metric) is inevitable in massive gravity theory. In the scenario of gauge/gravity duality, a singular reference metric corresponds to momentum dissipations, which describes the electric and heat conductivity for normal conductors. We demonstrate in detail that the massive gravity with singular reference metric is ghost-free.