Work

Exact solution of the Dirac equation in spherical Rindler coordinates

Year: 2025

Type: article

Abstract: The exact solution to the Dirac equation corresponding to a bound state in the spherical Rindler metric is derived and its relation to the near-horizon Schwarzschild metric is investigated. It is shown how to represent these solutions with a specially chirped free-electron wave packet. The spherical Rindler frame stands out as being invariant under Lorentz transformations, in contrast with the 1 + 1 D Rindler coordinates, and has been used in the description of the so-called spacetime. With heuristic modification of the wave function of the chirped free-electron wave packet quantitative predictions for the quantum properties of the electron crossing the black hole horizon are obtained.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/vvby-8vrj

Authors: Andre G. Campos, Karen Z. Hatsagortsyan, Christoph H. Keitel

Institution: Max Planck Institute for Nuclear Physics

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4414955871

FWCI: 0.491

Cites: 26

Cited by: 1

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