Anisotropic Lifshitz holography in Einstein-Proca theory with stable negative mass spectrum
arXiv:1804.02278 · doi:10.1140/epjp/s13360-019-00091-2
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.
12 pages in latex, no figures. arXiv admin note: substantial text overlap with arXiv:0912.2784 by other authors; text overlap with arXiv:1107.5792 by other authors
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