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arXiv · 1804.02278

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

Roberto Cartas-Fuentevilla·Alfredo Herrera-Aguilar·V. Matlalcuatzi-Zamora·Uriel Noriega·Juan M. Romero
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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.

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Roberto Cartas-Fuentevilla, Alfredo Herrera-Aguilar, V. Matlalcuatzi-Zamora, Uriel Noriega, Juan M. Romero. 2018-04-05. Anisotropic Lifshitz holography in Einstein-Proca theory with stable negative mass spectrum. https://doi.org/10.1140/epjp%2Fs13360-019-00091-2

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