Class of Eistein-Maxwell Dilatons

Details Class of Eistein-Maxwell Dilatons Class of Eistein-Maxwell Dilatons

2000-08-28

arxiv.org/abs/gr-qc/0008068v1

Class.Quant.Grav. 17 (2000) 3917-3934

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages of LaTeX, no figures. To appear in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/17/18/323

The functional potential formalism is used to analyze stationary axisymmetric spaces in the Einstein-Maxwell-Dilaton theory. Performing a Legendre transformation, a ``Hamiltonian''is obtained, which allows to rewrite the dynamical equations in terms of three complex functions only. Using an ansatz resembling the one used by the harmonic maps ansatz, we express these three functions in terms of the harmonic parameters, studying the cases where these parameters are real, and when they are complex. For each case, the set of equations in terms of these harmonic parameters is derived, and several classes of solutions to the Einstein-Maxwell with arbitrary coupling constant to a dilaton field are presented. Most of the known solutions of charged and dilatonic black holes are contained as special cases and can be non-trivially generalized in different ways.

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