Structures of General Relativity in Dilaton-Maxwell Electrodynamics
arXiv:1602.04634 · doi:10.1142/S0217751X1650127X
Abstract
It is shown that electro (magneto) static sector of Maxwell's electrodynamics coupled to the dilaton field in a string theory form possesses the symmetry group of the stationary General Relativity in vacuum. Performing the Ernst formalism, we develope a technique for generation of exact solutions in this modified electrodynamics on the base of the normalized Ehlers symmetry transformation. In the electrostatic case, we construct and study a general class of spherically symmetric solutions that describes a point-like sourse of the Coulomb type. It is shown that this source is characterized by asymptotical freedom of the electrostatic interaction at short distances. Also it is established that the total electrostatic energy of this source is finite and inversely proportional to the dilaton-Maxwell coupling constant.
arXiv comment10 pages
References in corpus (11)
- Kaluza-Klein Gravity
- Black Holes and Solitons in String Theory
- Ehlers--Harrison--Type Transformations in Dilaton--Axion Gravity
- Matrix Dilaton-Axion for Heterotic String in Three Dimensions
- Dark Energy Content of Nonlinear Electromagnetism
- Charging Symmetries and Linearizing Potentials for Heterotic String in Three Dimensions
- Matrix Ernst Potentials and Orthogonal Symmetry for Heterotic String in Three Dimensions
- 3D heterotic string theory: new approach and extremal solutions
- Generation of heterotic string theory solutions from the stationary Einstein-Maxwell fields
- Charging Symmetries and Linearizing Potentials for Gravity Models with Symplectic Symmetry
- Generation of the bosonic string theory solutions from the stationary Einstein fields via projection symmetry