Nonminimally coupled massive scalar field in a 2D black hole: Exactly solvable model

2000/12/28 by V. Frolov, Valeri P. Frolov, Andrei Zelnikov +1 · 3 citations
Mathematics · Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Black brane #Black hole (networking) #Black string #Cosmology and Gravitation Theories #Curvature #Dilaton #Entropy (arrow of time) #Extremal black hole #Geometry #Gravitational wave #Hawking radiation #Mathematical physics #Mathematics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Scalar (mathematics) #Scalar field #Spacetime #Theoretical physics #hep-th

paper · pdf · doi:10.1103/physrevd.63.125026

published as Phys.Rev. D63 (2001) 125026 · 18 pages, 3 figures

arxiv created 2000/12/28 · openalex publication_date 2001/05/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study a nonminimal massive scalar field in the background of a two-dimensional black hole spacetime. We consider the black hole which is the solution of the 2D dilaton gravity derived from string-theoretical models. We find 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 〈\ensuremathφ²〉^ren are calculated explicitly for this exactly solvable model.

Citations

• Conservation laws and two-dimensional black holes in dilaton gravity
• Generalized two-dimensional dilaton gravity with matter fields
• String theory and black holes

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