مشخصات پژوهش

We construct black hole solutions to the leading order of string effective action in five dimensions with the source given by dilaton and magnetically charged antisymmetric gauge B-field. Presence of the considered Bfield leads to the unusual asymptotic behavior of the solutions which are neither asymptotically flat nor asymptotically (A)dS.We consider the three-dimensional space part to correspond to theBianchi classes and so the horizons of these topological black hole solutions are modeled by seven homogeneous Thurston’s geometries of E3, S3, H3, H2×E1,  SL2R, nilgeometry, and solvegeometry. Calculating the quasi-local mass, temperature, entropy, dilaton charge, and magnetic potential, we show that the first law of black hole thermodynamics is satisfied by these quantities and the dilaton charge is not independent of mass and magnetic charge. Furthermore, for Bianchi type V, the T -dual black hole solution is obtained which carries no charge associated with B-field and the entropy turns to be invariant under the T -duality..