Black hole temperature: minimal coupling vs conformal coupling

Abstract

In this article, we discuss the propagation of scalar fields in conformally transformed spacetimes with either minimal or conformal coupling. The conformally coupled equation of motion is transformed into a one-dimensional Schrödinger-like equation with an invariant potential under conformal transformation. In a second stage, we argue that calculations based on conformal coupling yield the same Hawking temperature as those based on minimal coupling. Finally, it is conjectured that the quasi normal modes of black holes are invariant under conformal transformation.

arXiv comment20 pages, 1 figure, references added

References in corpus (15)

• The World as a Hologram
• Quasinormal modes of black holes and black branes
• Quasi-Normal Modes of Stars and Black Holes
• Hawking Radiation as Tunneling
• Particle production and complex path analysis
• The conformal frame freedom in theories of gravitation
• Conformal Invariance of Black Hole Temperature
• Hawking radiation of linear dilaton black holes
• Effect of the Born-Infeld Parameter in higher dimensional Hawking radiation
• Low-Energy Absorption Cross Section for massive scalar and Dirac fermion by $(4+n)$-dimensional Schwarzschild Black Hole
• Hawking Temperature and String Scattering off the 2+1 Black Hole
• Decay Rate and Low-Energy Near-Horizon Dynamics of Acoustic Black Holes
• Equivalence of the Hawking temperature in conformal frames
• String scattering off the (2+1)-dimensional rotationg black hole
• Absorption cross section in Lifshitz black hole

Cited by in corpus (1)

• Hawking-Hayward quasi-local energy under conformal transformations