Solutions to the Reissner-Nordstroem, Kerr, and Kerr-Newman problems in fourth-order conformal Weyl gravity

Journal Article · Mon Jul 15 00:00:00 EDT 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.44.417· OSTI ID:5592000

Mannheim, P D ^[1]; Kazanas, D ^[2]

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1. Department of Physics, University of Connecticut, Storrs, Connecticut 06269 (USA)
2. Laboratory for High Energy Astrophysics, NASA/Goddard Space Flight Center, Greenbelt, Maryland 20771 (USA)

We continue our study of the general structure of fourth-order conformal Weyl gravity which we are exploring as a possible theory of gravity, and in this paper we present three new exact solutions to the theory which we have found. First we present the complete and exact solution to the Reissner-Nordstroem problem associated with a static, spherically symmetric point electric and/or magnetic charge coupled to fourth-order conformal Weyl gravity. We find that, unlike the familiar second-order Einstein case where the modification to the Schwarzschild metric is in the form of a term which behaves like 1/{ital r}{sup 2}, in the fourth-order case the modification is found to behave like 1/{ital r}, i.e., just like the Newtonian potential term itself. Additionally, we present two further exact solutions to the theory which we have found, namely, those associated with the fourth-order Kerr and Kerr-Newman problems in which a stationary, axially symmetric rotating system with or without electric and/or magnetic charge is coupled to gravity.

• DOE Contract Number: AC02-79ER10336
• OSTI ID: 5592000
• Journal Information: Physical Review, D (Particles Fields); (USA), Vol. 44:2; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
GRAVITATIONAL FIELDS
WEYL UNIFIED THEORY
CONFORMAL INVARIANCE
COSMOLOGY
DIFFERENTIAL EQUATIONS
EINSTEIN FIELD EQUATIONS
ENERGY-MOMENTUM TENSOR
EQUATIONS OF MOTION
KERR EFFECT
SCHWARZSCHILD METRIC
SPACE-TIME
VACUUM STATES
DIELECTRIC PROPERTIES
ELECTRICAL PROPERTIES
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
INVARIANCE PRINCIPLES
METRICS
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
TENSORS
UNIFIED-FIELD THEORIES
645400* - High Energy Physics- Field Theory
640106 - Astrophysics & Cosmology- Cosmology
657003 - Theoretical & Mathematical Physics- Relativity & Gravitation