five-dimensional bianchi type v magnetically charged hairy topological black hole solutions in string theory

We obtained black hole solutions for the low energy string effective action in five dimensions with threedimensional hyperbolic horizon with the source given by dilaton and antisymmetric gauge b-field withmagnetic charge. because of the presence of the b-field in this class, the solution are neither asymptoticallyat nor asymptotically (a)ds. calculating the quasi-local mass, temperature, entropy, dilaton charge, andmagnetic potential, we showed that the first law of black hole thermodynamics is satisfied and the dilatoncharge corresponds to a secondary type hair.