paper

Extended Lambda-Maxwell duality and related large class of dyonic and neutral exactly solvable 4D Einstein-Maxwell-dilaton models discovered

arXiv:hep-th/0101075 · doi:10.1103/PhysRevD.64.084026

Abstract

We report the discovered class of exact static solutions of several 4D Einstein-Maxwell-dilaton systems: string-induced, Liouville, trigonometric, polynomial, etc., for three basic topologies (spherical, hyperbolical and flat) being uniformly treated. In addition to the usual electric-magnetic duality this class obeys a certain extended duality between Maxwell-dilaton coupling and dilaton mass. Though major solutions we obtain are dyonic, the class also comprises interesting neutral models. As a by-product, we significantly succeded in resolving of the two important problems, one of which has been standing more than a decade (system with the string-inspired exponential Maxwell-dilaton coupling and non-vanishing dilaton mass) and another one - gravity coupled to massive neutral scalar field: generalized Liouville, Sin(h), Cos(h) - is about fifty years old. Finally, we demonstrate the full separability of the static EMD system and publicize the simple procedure of how to generate new integrability classes.

by Lambda-Maxwell duality we imply the one between Maxwell-dilaton coupling and dilaton mass (cosmological) term; REVTeX 3.1, 5 t/c pp; v3: fixed misprint in (25), v4: slightly generalized (5), added suggested refs, v5: updated ref. [5] and added important paragraph explaining how new classes can be generated, v6: emphasized full separability as adviced by readers

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