Einstein-Maxwell-dilaton theories with a Liouville potential

Abstract

We find and analyse solutions of Einstein's equations in arbitrary dimensions and in the presence of a scalar field with a Liouville potential coupled to a Maxwell field. We consider spacetimes of cylindrical symmetry or again subspaces of dimension d − 2 with constant curvature and analyse in detail the field equations and manifest their symmetries. The field equations of the full system are shown to reduce to a single or couple of ODE's which can be used to solve analytically or numerically the theory for the symmetry at hand. Further solutions can also be generated by a solution generating technique akin to the EM duality in the absence of a cosmological constant. We then find and analyse explicit solutions including black holes and gravitating solitons for the case of four dimensional relativity and the higher-dimensional oxydised 5-dimensional spacetime. The general solution is obtained for a certain relation between couplings in the case of cylindrical symmetry.

Higher-derivative scalar-vector-tensor theories: black holes, Galileons, singularity cloaking and holography

“…If 0 < 2α r ≤ ℓ 2 , Q is an increasing function and then zeros of P are to the right of branch singularities. Thus, for large enough mass compared to charge, we will have an inner and outer event horizon, exactly as for α r = 0, [58,82]. Whenα r < 0 and small enough, the inner and event horizon remain intact.…”

“…This is a pure artifact of the Kaluza-Klein reduction, and it is resolved in the higher-dimensional picture (the boosted planar AdS black hole is of course regular everywhere, except at ρ → +∞), [145]. In the Einstein limitα → 0, this reduces to a special instance of the family of planar black hole solutions studied in [54,58,82,103] (γδ = 1, δ = ±1/ √ 3 in the conventions of these works).…”

“…Exact black hole solutions have been known for a long time both in Lovelock theory, [72]- [76], and for two-derivative scalar-tensor theories, [79]- [82]. In the latter, dilatonic black holes can display unusual asymptotics, departing from AdS, but still allow for a consistent description.…”

“…7 See [77,78] for the neutral version, and [80]- [58,82], for the charged version of the dilatonic Einstein black hole with a planar horizon. See also [83] for an earlier study of the interpretation of Einstein dilatonic black holes via dimensional reduction.…”

Phase transition and hyperscaling violation for scalar black branes

“…In recent years holographic methods have been widely used to investigate features of strongly interacting quantum field theories (QFT), in particular for what concerns possible applications to condensed matter systems [2][3][4][5][6][7][8][9][10][11].…”