Published November 24, 2011
| Version v1
Journal article
Dirac equation for massive neutrinos in a Schwarzschild-de Sitter spacetime from a 5D vacuum
- 1. Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Funes 3350, (7600) Mar del Plata (Argentina)
- 2. Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR), Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET) (Argentina)
Description
Starting from a Dirac equation for massless neutrino in a 5D Ricci-flat background metric, we obtain the effective 4D equation for massive neutrino in a Schwarzschild-de Sitter (SdS) background metric from an extended SdS 5D Ricci-flat metric. We use the fact that the spin connection is defined to an accuracy of a vector, so that the covariant derivative of the spinor field is strongly dependent of the background geometry. We show that the mass of the neutrino can be induced from the extra space-like dimension.
Availability note (English)
Available from http://dx.doi.org/10.1016/j.physletb.2011.10.058Additional details
Identifiers
- DOI
- 10.1016/j.physletb.2011.10.058;
- arXiv
- arXiv:1110.1300v3;
- PII
- S0370-2693(11)01312-8;
Publishing Information
- Journal Title
- Physics Letters. Section B
- Journal Volume
- 705
- Journal Issue
- 5
- Journal Page Range
- p. 535-538
- ISSN
- 0370-2693
- CODEN
- PYLBAJ
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Syrian Arab Republic
- INIS RN
- 43090148
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ACCURACY; DE SITTER GROUP; DE SITTER SPACE; DIRAC EQUATION; FOUR-DIMENSIONAL CALCULATIONS; GEOMETRY; MANY-DIMENSIONAL CALCULATIONS; MASS; METRICS; NEUTRINOS; SPACE-TIME; SPIN; SPINOR FIELDS; VECTORS
- Descriptors DEC
- ANGULAR MOMENTUM; DIFFERENTIAL EQUATIONS; ELEMENTARY PARTICLES; EQUATIONS; FERMIONS; FIELD EQUATIONS; LEPTONS; LIE GROUPS; MASSLESS PARTICLES; MATHEMATICAL SPACE; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE PROPERTIES; SPACE; SYMMETRY GROUPS; TENSORS; WAVE EQUATIONS
Optional Information
- Copyright
- Copyright (c) 2011 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.