Class of Einstein-Maxwell dilatons, an ansatz for new families of rotating solutions
Abstract
The functional potential formalism is used to analyse stationary axisymmetric spaces in Einstein-Maxwell-dilaton theory. Performing a Legendre transformation, a Hamiltonian is obtained, which allows us 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 equations 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.
- Publication:
-
Classical and Quantum Gravity
- Pub Date:
- September 2000
- DOI:
- 10.1088/0264-9381/17/18/323
- arXiv:
- arXiv:gr-qc/0008068
- Bibcode:
- 2000CQGra..17.3917M
- Keywords:
-
- General Relativity and Quantum Cosmology
- E-Print:
- 26 pages of LaTeX, no figures. To appear in Classical and Quantum Gravity