Neutrinos in gravitational collapse: The Dirac formalism

Journal Article · Thu Apr 15 04:00:00 EST 1982 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.25.2053· OSTI ID:5383069

Iyer, B R; Dhurandhar, S V; Vishveshwara, C V

The massless Dirac equations for the neutrino are studied in the background geometry relevant to a gravitational collapse, i.e., a Friedmann dust interior matched onto a Schwarzschild exterior. The interior normal modes are obtained and continued consistently across the collapsing surface into the exterior. This yields the expected spectral shifts quite naturally in addition to the phenomenon of backward emission. The complete exterior modes are obtained by matching solutions at the Schwarzschild barrier. The asymptotic transmission coefficient is computed, and this includes in addition to the effects of gravitational collapse the effects of the exterior potential barrier.

• Research Organization: Raman Research Institute, Bangalore 560080, India
• OSTI ID: 5383069
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 25:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

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657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
GRAVITATIONAL COLLAPSE
GRAVITATIONAL INTERACTIONS
INTERACTIONS
LEPTONS
MASSLESS PARTICLES
METRICS
NEUTRINOS
PARTIAL DIFFERENTIAL EQUATIONS
SCHWARZSCHILD RADIUS
SPACE-TIME
WAVE EQUATIONS
WKB APPROXIMATION