Solitonic solutions in the Kaluza--Klein--Jordan formalism as cosmological models in general relativity

Journal Article · Fri Jan 01 04:00:00 EST 1988 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.528169· OSTI ID:5505329

Diaz, M C; Gleiser, R J; Pullin, J A

A new renormalization procedure for the solutions of Einstein's field equations in d dimensions obtainable by the inverse scattering method (ISM) of Belinskii and Zakharov (Sov. Phys. JETP 48, 985 (1978)) is presented. It allows one to obtain families of diagonal metrics which, in addition to the solitonic parameters that characterize the ISM, depend on 2(d-3) extra arbitrary parameters. An example of cosmological relevance where the source is a massless scalar field in five dimensions is presented. It represents a general family of two-parameter four-dimensional metrics that for great times go into the perfect fluid Friedman--Robertson-Walker regime.

• Research Organization: Facultad de Matematica Astronomia y Fisica Universidad Nacional de Cordoba, Laprida 854, Cordoba 5000, Argentina
• OSTI ID: 5505329
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 29:1; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
COMPACTIFICATION
COSMOLOGICAL MODELS
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
GRAVITATION
INVERSE SCATTERING PROBLEM
KALUZA-KLEIN THEORY
MATHEMATICAL MODELS
METRICS
QUASI PARTICLES
RENORMALIZATION
SCALAR FIELDS
SOLITONS
UNIFIED-FIELD THEORIES