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Families of exact solutions of a 2D gravity model minimally coupled to electrodynamics
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Families of exact solutions of a 2D gravity model minimally coupled to electrodynamics
classification
gr-qc
keywords
coupledelectrodynamicsexactfamiliesgravityminimallyquantumsolutions
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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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