Anisotropic Lifshitz holography in Einstein-Proca theory with stable negative mass spectrum

TL;DR

This paper constructs a new family of stable, anisotropic Lifshitz spacetimes with negative mass spectrum in Einstein-Proca theory, expanding holographic models for condensed matter systems.

Contribution

It introduces a novel class of stable Lifshitz solutions with negative squared mass spectrum, broadening the scope of holographic duality models.

Findings

Constructed spatially anisotropic Lifshitz spacetimes with arbitrary z

Derived solutions with negative squared mass respecting stability bounds

Demonstrated potential applications in gravity/condensed matter duality

Abstract

In this article we focus on constructing a new family of spatially anisotropic Lifshitz spacetimes with arbitrary dynamical exponent z and constant negative curvature in d+1 dimensions within the framework of the Einstein-Proca theory. The constructed metric tensor depends on both the spacetime dimensionality and the critical exponent, while the curvature scalar depends just on the number of dimensions. We also obtained a novel spectrum with negative squared mass that respects the corresponding Breitenlohner-Freedman bound. Hence these new solutions are stable and can be useful within the gravity/condensed matter theory holographic duality, since the spectrum with negative squared mass is complementary to the positive ones already known in the literature.