Scalar, electromagnetic, and gravitational fields interaction: Particlelike solutions
Particlelike static spherically symmetric solutions to massless scalar and electromagnetic field equations combined with gravitational field equations are considered. Two criteria for particlelike solutions are formulated: the strong one (solutions are required to be singularity free) and the weak one (singularities are admitted but the total energy and material field energy should be finite). Exact solutions for the following physical systems are considered with their own gravitational field: (i) linear scalar (minimally coupled or conformal) plus electromagnetic field; (ii) the same fields with a bare mass source in the form of charged incoherent matter distributions; (iii) nonlinear electromagnetic field with an abritrary dependence on the invariant F/sub alphabeta/F/sup alphabeta/; and (iv) directly interacting scalar and electromagnetic fields. Case (i) solutions are not particlelike (except those with horizons, in which static regions formally satisfy the weak criterion). For systems (ii), examples of nonsingular models are constructed, in particular, a model for a particle--antiparticle pair of a Wheeler-handle type, without scalar field and explict electric charges. Besides, a number of limitations upon nonsingular model parameters is indicated. Systems (iii) are proved to violate the strong criterion for any type of nonlinearity but can satisfy the weak criterion (e.g., the Born--Infeld nonlinearity). For systems (iv) some particlelike solutions by the weak criterion are constructed and a regularizing role of gravitation is demonstrated. Finally, an example of a field system satisfying the strong criterion is given.
- Research Organization:
- State Committee for Standards of USSR Council of Ministers, 9, Leninsky Prospect, 117049, Moscow, USSR
- OSTI ID:
- 6090767
- Journal Information:
- Ann. Phys. (N.Y.); (United States), Vol. 118:1
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
ELECTROMAGNETIC FIELDS
FIELD EQUATIONS
PARTICLE MODELS
GRAVITATIONAL FIELDS
SCALAR FIELDS
ANALYTICAL SOLUTION
GENERAL RELATIVITY THEORY
NONLINEAR PROBLEMS
SPACE-TIME
EQUATIONS
FIELD THEORIES
MATHEMATICAL MODELS
645400* - High Energy Physics- Field Theory