2018/04/30 by Roberto Cartas-Fuentevilla, Alfredo Herrera-Aguilar, V. Matlalcuatzi-Zamora +2
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1140/epjp/s13360-019-00091-2
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
arxiv created 2020/01/21 · arxiv updated 2020/01/22
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.