Solutions of the Einstein--Cartan--Dirac equations with vanishing energy-momentum tensor

Journal Article · Wed May 01 04:00:00 EDT 1985 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526535· OSTI ID:5837291

Dimakis, A; Mueller--Hoissen, F

It is shown that a frame can always be chosen with respect to which a Dirac spinor psi has a particular simple form. This result is used to investigate the existence of solutions of the Einstein--Cartan--Dirac equations with vanishing energy-momentum tensor, but nonvanishing current (''ghost solutions''). We concentrate on solutions with a massive Dirac field, subject to the restriction (psi-barpsi)/sup 2/+(psi-bar..gamma../sub 5/psi)/sup 2/>0. In this case, the field equations can be reduced to a set of (covariant) equations on the group SL(2, R). A family of new exact solutions is presented.

• Research Organization: Institut fuer Theoretische Physik, Universitaet Goettingen, D-3400 Goettingen, Federal Republic of Germany
• OSTI ID: 5837291
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 26:5; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRAIC CURRENTS
ANALYTICAL SOLUTION
CLIFFORD ALGEBRA
COSMOLOGICAL CONSTANT
CURRENTS
DIFFERENTIAL EQUATIONS
DIRAC OPERATORS
EIGENVALUES
EINSTEIN FIELD EQUATIONS
ELEMENTARY PARTICLES
ENERGY-MOMENTUM TENSOR
EQUATIONS
FERMIONS
FIELD EQUATIONS
GAUGE INVARIANCE
GEOMETRY
INVARIANCE PRINCIPLES
LEPTONS
LIE GROUPS
MASSLESS PARTICLES
MATHEMATICAL MANIFOLDS
MATHEMATICAL OPERATORS
MATHEMATICS
METRICS
NEUTRINOS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
SPACE-TIME
SPINOR FIELDS
SYMMETRY GROUPS
TENSORS
WAVE EQUATIONS