General static solutions of two-dimensional Einstein-dilaton-Maxwell-scalar theories

Abstract

General static solutions of effectively 2-dimensional Einstein-Dilaton-Maxwell-Scalar theories are obtained. Our model action includes a class of 2-d dilaton gravity theories coupled with a U(1) gauge field and a massless scalar field. Therefore it also describes the spherically symmetric reduction of d-dimensional Einstein-Scalar-Maxwell theories. The properties of the analytic solutions are briefly discussed.Recently, Gürses and Sermutlu derived general static spherically symmetric so-

General static spherical solutions of d-dimensional charged dilaton gravity theories

“…Thus, in terms of the redened elds, the symmetries (a) 0 , (b), (c) and (d) do not depend on the value of , and look identical to the symmetries of Ref. [13] where one considers the = 0 case. Thus, a natural expectation is that if we use the redened elds to solve the equations of motion, the analysis will besimilar to the = 0 case.…”

“…The only dierence between our case and Ref. [13] lies in the symmetry (a). Due to the coupling of f to the gauge eld (the exp(f) factor in Eq.…”

“…(31) and (32) of Ref. [13] where one considers the = 0 case, except the overbars on the variables. Thus, we can follow that paper to obtain the exact solutions.…”

“…It was applied to d-dimensional Einstein-Maxwell-Scalar theories in [13]. Just as in case of the Einstein-Maxwell-Scalar theories where = 0, the integration of the coupled second order dierential equations to obtain the rst order system is possible through the identication of 4 underlying symmetries of our action (2), since we have 4 elds to solve in conformal gauge that we adopt in this paper.…”

Dilaton gravity in two dimensions

“…[353]. The action (4.1) does not contain the special case which emerges from spherical reduction of Einstein-Yang-Mills (EYM) in D = 4.…”