Magnetic branes in (n+1)-dimensional Einstein-Maxwell-dilaton gravity

Abstract

We construct two new classes of spacetimes generated by spinning and traveling magnetic sources in (n+1)-dimensional Einstein-Maxwell-dilaton gravity with Liouville-type potential.These solutions are neither asymptotically flat nor (A)dS. The first class of solutions which yields a (n + 1)-dimensional spacetime with a longitudinal magnetic field and k rotation parameters have no curvature singularity and no horizons, but have a conic geometry. We show that when one or more of the rotation parameters are nonzero, the spinning branes has a net electric charge that is proportional to the magnitude of the rotation parameters.The second class of solutions yields a static spacetime with an angular magnetic field, and have no curvature singularity, no horizons, and no conical singularity. Although one may add linear momentum to the second class of solutions by a boost transformation, one does not obtain a new solution. We find that the net electric charge of these traveling branes with one or more nonzero boost parameters is proportional to the magnitude of the velocity of the branes. We also use the counterterm method and calculate the conserved quantities of the solutions.

Topological Born–Infeld-dilaton black holes

“…This kind of potential was previously investigated by a number of authors both in the context of Friedman-Robertson-Walker (FRW) scalar field cosmologies [51] and EMd black holes (see e.g [10,11,16,25]). In order to solve the system of equations (7) and (8) for three unknown functions f (r), R(r) and Φ(r), we make the ansatz [21] R(r) = e αΦ .…”

“…Although one can consistently truncate such models, the presence of the dilaton field cannot be ignored if one considers coupling of the gravity to other gauge fields, and therefore one remains with Einstein-Born-Infeld gravity in the presence of a dilaton field. Many attempts have been done to construct solutions of Einstein-Born-Infeld-dilaton (EBId) gravity [4,5,6,7,8,9,10,11,12]. The appearance of the dilaton field changes the asymptotic behavior of the solutions to be neither asymptotically flat nor (A)dS.…”

“…Indeed, it has been speculated that the linear dilaton spacetimes, which arise as near-horizon limits of dilatonic black holes, might exhibit holography [13]. Black hole spacetimes which are neither asymptotically flat nor (A)dS have been explored widely in the literature [14,15,16,17,18,19,20,21,22,23,24,25]. In the absence of dilaton field, exact solutions of Einstein-Born-Infeld theory with/without cosmological constant have been constructed in [26,27,28,29,30,31,32,33].…”

Nonlinearly charged dilatonic black holes and their Brans–Dicke counterpart: energy dependent spacetime

“…It is worthwhile to mention that although the Lagrangian presented in Ref. [50,51,52] has correct Maxwell limit for β −→ ∞, is not consistent with conformal transformation and Jordan frame (this point was indicated in Ref. [5]).…”

Thermodynamics of Third Order Lovelock—Born—Infeld Black Holes

“…Later, the spherically symmetric Einstein-Born-Infeld black hole solutions with cosmological constant were studied in [21][22][23], Born-Infeld-dilaton models in [24][25][26]. For the Lovelock gravity, the GaussBonnet-Born-Infeld black hole solutions were found in asymptotically flat [27], and anti-de Sitter space-time [28,29].…”