Stationary axially symmetric exterior solutions in the five-dimensional representation of the Brans-Dicke-Jordan theory of gravitation

Journal Article · Sat Nov 15 00:00:00 EST 1986 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.34.2990· OSTI ID:7164300

Bruckman, W

The inverse scattering method of Belinsky and Zakharov is used to investigate axially symmetric stationary vacuum soliton solutions in the five-dimensional representation of the Brans-Dicke-Jordan theory of gravitation, where the scalar field of the theory is an element of a five-dimensional metric. The resulting equations for the spacetime metric are similar to those of solitons in general relativity, while the scalar field generated is the product of a simple function of the coordinates and an already known scalar field solution. A family of solutions is considered that reduce, in the absence of rotation, to the five-dimensional form of a well-known Weyl-Levi Civita axially symmetric static vacuum solution. With a suitable choice of parameters, this static limit becomes equivalent to the spherically symmetric solution of the Brans-Dicke theory. An exact metric, in which the Kerr-scalar McIntosh solution is a special case, is given explicitly.

• Research Organization: Department of Physics, Humacao University College, Humacao, Puerto Rico 00661 and International Centre for Theoretical Physics, Trieste, Italy
• OSTI ID: 7164300
• Journal Information: Phys. Rev. D; (United States), Vol. 34:10
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
GRAVITATION
MANY-DIMENSIONAL CALCULATIONS
SOLITONS
ELECTROMAGNETISM
FIELD EQUATIONS
GENERAL RELATIVITY THEORY
INVERSE SCATTERING PROBLEM
KALUZA-KLEIN THEORY
METRICS
SCALAR FIELDS
SPACE-TIME
SYMMETRY
VACUUM STATES
VECTOR FIELDS
EQUATIONS
FIELD THEORIES
MAGNETISM
QUASI PARTICLES
UNIFIED-FIELD THEORIES
657003* - Theoretical & Mathematical Physics- Relativity & Gravitation