2018/12/05 by Octavio Fierro, Daniela Narbona, Fierro, Octavio +7 · 1 citation
Mathematics · #Geometry and complex manifolds #advanced mathematical theories #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.1812.02089
In this paper we present a new family of wormhole geometries in Lovelock theories with a unique vacuum, and study their stability under scalar field perturbations. As the solutions already known in the literature for Chern-Simons gravity on AdS, the new wormholes are characterized by a single integration constant ρ0, that parameterizes the contribution to the mass coming from each boundary, which cancel each other, leading to a new example of "mass without mass". The stability of these new configurations, as well as other previously constructed in the literature is explored under scalar field perturbations. The stability is ensured provided the mass of the scalar perturbation is above a deformed Breitenlohner-Freedman bound which is sensitive to the value of ρ0.