Einstein-Maxwell-Dilaton theories with a Liouville potential

Details Einstein-Maxwell-Dilaton theories with a Liouville potential Einstein-Maxwell-Dilaton theories with a Liouville potential

2009-05-20

arxiv.org/abs/0905.3337v3

Phys.Rev.D80:024028,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

v3, Some typos corrected with respect to the published version

Scientific paper

10.1103/PhysRevD.80.024028

We find and analyse solutions of Einstein's equations in arbitrary d dimensions and in the presence of a scalar field with a Liouville potential coupled to a Maxwell field. We consider spacetimes of cylindrical symmetry or again subspaces of dimension d-2 with constant curvature and analyse in detail the field equations and manifest their symmetries. The field equations of the full system are shown to reduce to a single or couple of ODE's which can be used to solve analytically or numerically the theory for the symmetry at hand. Further solutions can also be generated by a solution generating technique akin to the EM duality in the absence of a cosmological constant. We then find and analyse explicit solutions including black holes and gravitating solitons for the case of four dimensional relativity and the higher-dimensional oxydised 5-dimensional spacetime. The general solution is obtained for a certain relation between couplings in the case of cylindrical symmetry.

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