Neutrinos in perfect fluid spacetimes with local rotational symmetry

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

DOI:https://doi.org/10.1103/PhysRevD.26.2598· OSTI ID:6557730

Dhurandhar, S V; Vishveshwara, C V; Cohen, J M

The neutrino perturbations on the background of perfect fluid spacetimes with local rotational symmetry can be treated with the aid of the Debye-potential (two-component Hertz potential) formalism. This formalism reduces the Dirac equation to a single decoupled equation for a complex scalar Psi. The Weyl spinor pertaining to the neutrino is obtained by differentiating this scalar Psi. The class of spacetimes studied here contains a wide range of well-known examples, It falls naturally into three cases each of which has been investigated in detail retaining the general form of the functions appearing in the metric. It is observed that the method yields considerable information even at this general level of discussion. Finally, some specific examples, namely the Goedel universe, the anisotropic spatially homogeneous cosmological models, and the Taub spacetime are studied illustrating the above-mentioned scheme.

• Research Organization: Raman Research Institute, Bangalore-560080, India
• OSTI ID: 6557730
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 26:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

640106 -- Astrophysics & Cosmology-- Cosmology
645203* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Weak Interactions & Properties
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COSMOLOGICAL MODELS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
LEPTONS
MASSLESS PARTICLES
MATHEMATICAL MODELS
METRICS
NEUTRINOS
PARTIAL DIFFERENTIAL EQUATIONS
SPACE-TIME
SPINORS
SYMMETRY
UNIVERSE
WAVE EQUATIONS