Families of exact solutions of a 2D gravity model minimally coupled to electrodynamics

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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13 pages, LaTeX, to be published in JMP

Scientific paper

Three families of exact solutions for 2-dimensional gravity minimally coupled
to electrodynamics are obtained in the context of ${\cal R}=T$ theory. It is
shown, by supersymmetric formalism of quantum mechanics, that the quantum
dynamics of a neutral bosonic particle on static backgrounds with both varying
curvature and electric field is exactly solvable.

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