Next Article in Journal
Baryon Number Transfer Could Delay Quark–Hadron Transition in Cosmology
Next Article in Special Issue
Peccei–Quinn Transformations and Black Holes: Orbit Transmutations and Entanglement Generation
Previous Article in Journal
Tests of Lorentz Symmetry in the Gravitational Sector
Previous Article in Special Issue
Reissner–Nordström Anti-de Sitter Black Holes in Mimetic F(R) Gravity
Article Menu

Export Article

Open AccessArticle
Universe 2016, 2(4), 31; doi:10.3390/universe2040031

The Problem of Embedded Eigenvalues for the Dirac Equation in the Schwarzschild Black Hole Metric

1
Department of Mathematics, The Petroleum Institute, P.O. Box 2533 Abu Dhabi, UAE
2
Departamento de Fisica, Universidad de los Andes, Cra.1E No.18A-10 Bogota, Colombia
3
Department of Mathematics, University of the West Indies, Kingston 6, Jamaica
*
Authors to whom correspondence should be addressed.
Academic Editor: Gonzalo J. Olmo
Received: 18 September 2016 / Revised: 20 November 2016 / Accepted: 28 November 2016 / Published: 2 December 2016
(This article belongs to the Collection Open Questions in Black Hole Physics)
View Full-Text   |   Download PDF [304 KB, uploaded 2 December 2016]

Abstract

We use the Dirac equation in a fixed black hole background and different independent techniques to demonstrate the absence of fermionic bound states around a Schwarzschild black hole. In particular, we show that no embedded eigenvalues exist which has been claimed for the case when the energy is less than the particle’s mass. We explicitly prove that the claims regarding the embedded eigenvalues can be traced back to an oversimplified approximation in the calculation. We conclude that no bound states exist regardless of the value of the mass. View Full-Text
Keywords: black hole physics; Dirac equation in curved spacetime; bound states black hole physics; Dirac equation in curved spacetime; bound states
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Batic, D.; Nowakowski, M.; Morgan, K. The Problem of Embedded Eigenvalues for the Dirac Equation in the Schwarzschild Black Hole Metric. Universe 2016, 2, 31.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Universe EISSN 2218-1997 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top