Quantum singularities in the BTZ spacetime

Journal Article · Sun Jun 15 04:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.124030· OSTI ID:21214867

Pitelli, Joao Paulo M; Letelier, Patricio S ^[1]

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1. Departamento de Matematica Aplicada-IMECC, Universidade Estadual de Campinas, 13081-970 Campinas, S.P. (Brazil)

The spinless Banados-Teiltelboim-Zanelli spacetime is considered in the quantum theory context. Specifically, we study the case of a negative mass parameter using quantum test particles obeying the Klein-Gordon and Dirac equations. We study if this classical singular spacetime, with a naked singularity at the origin, remains singular when tested with quantum particles. The need for additional information near the origin is confirmed for massive scalar particles and all of the possible boundary conditions necessary to turn the spatial portion of the wave operator self-adjoint are found. When tested by massless scalar particles or fermions, the singularity is ''healed'' and no extra boundary condition is needed. Near infinity, no boundary conditions are necessary.

• OSTI ID: 21214867
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 77; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUNDARY CONDITIONS
DIRAC EQUATION
FERMIONS
KLEIN-GORDON EQUATION
NEGATIVE MASS
SINGULARITY
SPACE-TIME
TEST PARTICLES