JMP Nameplate
  • Volume/Page
  • Keyword
  • DOI
  • Citation
  • Advanced
   
 
 
 

Flickr Twitter UniPHY Group iResearch App Facebook

Journal of Mathematical Physics / Volume 29 / Issue 1

J. Math. Phys. 29, 169 (1988); http://dx.doi.org/10.1063/1.528169 (6 pages)

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

Mario C. Díaz, Reinaldo J. Gleiser, and Jorge A. Pullin

Facultad de Matemática Astronomía y Física Universidad Nacional de Cordoba, Laprida 854, Cordoba 5000, Argentina

(Received 12 June 1987; accepted 2 September 1987)

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.

KEYWORDS and PACS

Keywords

SOLITONS, KALUZA−KLEIN THEORY, GENERAL RELATIVITY THEORY, COSMOLOGICAL MODELS, RENORMALIZATION, EINSTEIN FIELD EQUATIONS, ANALYTICAL SOLUTION, INVERSE SCATTERING PROBLEM, METRICS, SCALAR FIELDS, COMPACTIFICATION, GRAVITATION, UNIFIED−FIELD THEORIES

PACS

  • 04.20.Jb

    Exact solutions

  • 98.80.Cq

    Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

  • 95.30.Sf

    Relativity and gravitation

  • 04.50.-h

    Higher-dimensional gravity and other theories of gravity

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.528169

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

For access to fully linked references, you need to log in.
    V. A. Belinskii and V. E. Zakharov, Sov. Phys. JETP 48, 985 (1978).

    V. A. Belinskii and V. E. Zakharov, Sov. Phys. JETP 50, 1 (1979).

    B. J. Carr and E. Vergaguer, Phys. Rev. D 28, 2995 (1983).

    J. Ibáñez and E. Verdaguer, Phys. Rev. D 31, 251 (1985).

    V. A. Belinskii, Sov. Phys. JETP 50, 623 (1979).

    W. Bruckman, Phys. Rev. D 34, 2990 (1986).

    P. Letelier, J. Math. Phys. 26, 467 (1985JMAPAQ000026000003000467000001).


For access to citing articles, you need to log in.



Close

Google Calendar

ADVERTISEMENT

Your Recent History Recent History Help

Recently Viewed

  1. Solitonic solutions in the Kaluza–Klein–Jordan formalism as cosmological models in general relativity
  2. Erratum: Quantum motion on a half‐line connected to a plane [J. Math. Phys. 28, 386 (1987)]
  3. Generalized Burgers equations and Euler–Painlevé transcendents. II
  4. Erratum: Automorphisms of algebraic varieties and Yang–Baxter equations [J. Math. Phys. 27, 2776 (1986)]
  5. On the excitonic‐polaron theory in angular variables
Go to AIP Home
Copyright © American Institute of Physics
close