Magnetic solutions to 2+1 dimensional gravity with dilaton field

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, Latex format

Scientific paper

10.1016/S0370-2693(97)01171-4

We show a general method to solve 2+1 dimensional dilatonic Maxwell-Einstein equation with a positive or negative cosmological constant. All the physical solutions are listed with assumptions that they are static, rotationally symmetric, and has a nonzero magnetic field and a nonzero dilaton field. On the contrary to the magnetic solution without a dilaton field, some of the present solutions with a dilaton field possess a horizon.

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