Charged dilaton black holes with unusual asymptotics

Abstract

We present a new class of black hole solutions in Einstein-Maxwell-dilaton gravity in n ≥ 4 dimensions. These solutions have regular horizons and a singularity only at the origin. Their asymptotic behavior is neither asymptotically flat nor (anti-) de Sitter.Similar solutions exist for certain Liouville-type potentials for the dilaton.

Rotating Dilaton Black Strings Coupled to Exponential Nonlinear Electrodynamics

“…Before we proceed further, let us give some motivations for introducing the Lagrangian (3). The first reason for taking this kind of Lagrangian originates from the fact that for large value of nonlinear parameter , it leads to the well-known Maxwell-dilaton Lagrangian [36], exactly like BI lagrangian coupled to the dilaton field in the limit of large ,…”

“…In case of linear electrodynamics we have L( ) = − , and the system of (8)-(10) reduce to the well-known equations of Einstein-Maxwell-dilaton (EMd) gravity [36]. Our aim here is to construct charged rotating black string solutions of the field equations (8)- (10) and investigate their properties.…”

“…In order to do this, we obtain mass as a function of extensive quantities , , and . Using the expressions for the mass, the angular momenta, the entropy, and the charge given in (36), (37), and (38), and the fact that ( + ) = 0, one can obtain a Smarr-type formula as…”

“…When the Liouville-type dilaton potential, which is regarded as the generalization of the cosmological constant, is taken into account, the asymptotic behavior of the solutions is changed to be neither asymptotically flat nor (anti-)de Sitter [(A)dS] [33][34][35]. In the presence of one or two Liouville-type potentials, black hole spacetimes which are neither asymptotically flat nor (A)dS have been explored by many authors (see, e.g., [36][37][38][39][40][41][42][43][44][45]). The BI action coupled to the dilaton field appears in the low energy limit of open superstring theory [7][8][9][10][11].…”

Dilaton black holes with a cosmological term

“…in four dimensions, 2 where we have included the dilaton <j>, with potential ^ (</>), and an Abelian {/(I) gauge field with field strength F MU as representative of matter content. The axion, which would enter with the matter degrees of freedom in a similar fashion to F, has been excluded.…”