Static spherically symmetric solutions to a system of generalized Einstein-Maxwell field equations

Journal Article · Sun Jan 15 00:00:00 EST 1978 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.17.391· OSTI ID:5075806

Horndeski, G W

In this paper I investigate the static, spherically symmetric, pure electric, source-free solutions to the most general second-order vector-tensor theory of gravitation and electromagnetism which is such that its field equations are (i) derivable from a variational principle, (ii) consistent with the notion of conservation of charge, (iii) in agreement with Einstein's equations in the absence of electromagnetic fields, and (iv) compatible with Maxwell's equations in a flat space. These solutions (which are given in series form) bear a strong resemblance to the Reissner-Nordstroem solution (of the Einstein- Maxwell field equations) in the asymptotic domain; however, they differ quite radically from the Reissner-Nordstroem solution in the vicinity of the source. In addition it appears as though many of these solutions are only compatible with electric monopoles of finite extent.

• Research Organization: Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada
• OSTI ID: 5075806
• Journal Information: Phys. Rev., D; (United States), Vol. 17:2
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ELECTROMAGNETIC FIELDS
EINSTEIN-MAXWELL EQUATIONS
GRAVITATIONAL FIELDS
ASYMPTOTIC SOLUTIONS
CHARGED CURRENTS
DIFFERENTIAL EQUATIONS
ELECTRIC CHARGES
ENERGY-MOMENTUM TENSOR
METRICS
MONOPOLES
VARIATIONAL METHODS
ALGEBRAIC CURRENTS
CURRENTS
EQUATIONS
FIELD EQUATIONS
TENSORS
645400* - High Energy Physics- Field Theory
657003 - Theoretical & Mathematical Physics- Relativity & Gravitation