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

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 $<{\varphi }^2{>}^{ren}$ are calculated explicitly for this exactly solvable model.

arXiv comment18 pages, 3 figures

References in corpus (15)

• Evanescent Black Holes
• Gauge Invariant Formulations of Lineal Gravity
• Charged Black Holes in Two-Dimensional String Theory
• Conservation Laws and 2D Black Holes in Dilaton Gravity
• Scalar-Tensor Quantum Gravity in Two Dimensions
• On 4D-Hawing Radiation from Effective Action
• On the Completeness of the Black Hole Singularity in 2d Dilaton Theories
• Geometric Interpretation and Classification of Global Solutions in Generalized Dilaton Gravity
• Hawking radiation by effective two-dimensional theories
• Hawking radiation from dilaton gravity in 1 + 1 dimensions: a pedagogical review
• Vacuum polarization in the Schwarzschild spacetime and dimensional reduction
• The Dimensional-Reduction Anomaly
• Effective action and Hawking radiation for dilaton coupled scalars in two dimensions
• 4D quantum black hole physics from 2D models?
• Generalized 2d dilaton gravity with matter fields

Cited by in corpus (15)

• Dilaton Gravity in Two Dimensions
• Asymptotic quasinormal modes of a coupled scalar field in the Garfinkle-Horowitz-Strominger dilaton spacetime
• Quasinormal Modes and Stability Criterion of Dilatonic Black Hole in 1+1 and 4+1 Dimensions
• Quasinormal modes and stability of a five-dimensional dilatonic black hole
• Quantum Tunneling and Quasinormal Modes in the Spacetime of Alcubierre Warp Drive
• Asymptotic quasinormal modes of a coupled scalar field in the Gibbons-Maeda dilaton spacetime
• Quasinormal frequencies of asymptotically flat two-dimensional black holes
• Dirac quasinormal modes of two-dimensional charged Dilatonic Black Holes
• Non-minimal scalar fields in 2D de Sitter and dilaton black holes
• Fermionic greybody factors of two and five-dimensional dilatonic black holes
• Stealths on $(1+1)$-dimensional dilatonic gravity
• Analytical approximation for $<{\varphi }^2>$ of a quantized scalar field in ultrastatic asymptotically flat spacetimes
• < phi^2 > for a scalar field in 2D black holes: a new uniform approximation
• Greybody Factors of Massive Charged Fermionic Fields in a Charged Two-Dimensional Dilatonic Black Hole
• Computational quantum field theory for fermion pair creation in 2-dimensional curved spacetimes