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Non-Minimally Coupled Massive Scalar Field in a 2D Black Hole: Exactly Solvable Model

V. Frolov·A. Zelnikov
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Abstract

We study a nonminimal massive scalar field in a 2-dimensional black hole spacetime. We consider the black hole which is the solution of the 2d dilaton gravity derived from string-theoretical models. We found an explicit solution in a closed form for all modes and the Green function of the scalar field with an arbitrary mass and a nonminimal coupling to the curvature. Greybody factors, the Hawking radiation, and $ < ϕ^2 >^{ren} $ are calculated explicitly for this exactly solvable model.

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V. Frolov, A. Zelnikov. 2000-12-28. Non-Minimally Coupled Massive Scalar Field in a 2D Black Hole: Exactly Solvable Model. https://doi.org/10.1103/physrevd.63.125026

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