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

Abstract

Three families of exact solutions for 2-dimensional gravity minimally coupled to electrodynamics are obtained in the context of $\mathcal{R}=T$ 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.

13 pages, LaTeX, to be published in JMP

References in corpus (2)

• Geometry of 2d spacetime and quantization of particle dynamics
• Massless particle in 2d spacetime with constant curvature

Cited by in corpus (4)

• Exact solutions of Dirac equation on a 2D gravitational background
• One-Dimensional Relativistic Self-Gravitating Systems
• Exact solutions of Dirac equation on (1+1)-dimensional spacetime coupled to a static scalar field
• 2D(1+1) Quantum Gravity. Gravitational Quantum Stationary Hamilton-Jacobi Equation