Neutrino, Maxwell and scalar fields in cylindrical and spherical relativistic spaces
We discuss the quantum-mechanical theory of neutrino, Maxwell and zero-mass scalar fields treated as test fields in two different fixed background spacetimes representing respectively spatial cylindrical and spherical symmetries. The metrics for these spacetimes are exact solutions of the Einstein gravitational field equations. In the first case the background metric is that of the static, cylindrically symmetric magnetic or plasm universe whose theory has been given by Melvin. In the second case the background metric is that of the Schwarzschild geometry external to an isolated spherically-symmetric source of gravity. The c-number quantum mechanical equations of neutrino, Maxwell and zero-mass scalar fields (generalized to curved spacetime) are solved by means of a procedure developed by Cohen and Kegeles. This procedure is applicable only in algebrically special spacetimes which admit a congruence of shear-free null geodesics along the repeated principal null vector of the Weyl tensor; this condition is met for both of the spacetimes under consideration. The main instrument of the procedure is the Cohen-Kegeles (CK) scalar wave equation for test fields of helicity h. The solutions of this equation, when differentiated in a way specified by the CK procedure, give the spinor components of the test field in question. We rewrite the CK equations using the updated Geroch-Held-Penrose (GHP) formalism.
- Research Organization:
- Temple Univ., Philadelphia, PA (USA)
- OSTI ID:
- 6236266
- Resource Relation:
- Other Information: Thesis (Ph. D.)
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
QUANTUM FIELD THEORY
ELECTROMAGNETIC FIELDS
NEUTRINOS
SCALAR FIELDS
CYLINDRICAL CONFIGURATION
EINSTEIN FIELD EQUATIONS
GRAVITATIONAL FIELDS
METRICS
SPACE-TIME
SPHERICAL CONFIGURATION
SYMMETRY
CONFIGURATION
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD EQUATIONS
FIELD THEORIES
LEPTONS
MASSLESS PARTICLES
645400* - High Energy Physics- Field Theory