Perfect-fluid cosmologies with extra dimensions

Journal Article · Wed Jun 15 00:00:00 EDT 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.37.3761· OSTI ID:7023646

Gleiser, R J; Diaz, M C

We give an analysis of the solutions of the n-dimensional vacuum Einstein equations with a metric in the form of a direct sum of a Friedmann-Robertson-Walker (FRW) metric and a Kasner-type Euclidean metric. The solutions are interpreted as four-dimensional perfect-fluid cosmological FRW models, using the simple ansatz proposed by Ibanez and Verdaguer. We first obtain the general solution for flat models. These are perfect-fluid solutions that can be made compatible with contraction of all the extra dimensions. The general compatibility of the field equations is then discussed. It is found that for n>5 both open and closed models admit a range of perfect-fluid solutions whose qualitative behavior is analyzed.

• Research Organization: Facultad de Matematica, Astronomia y Fisica, Universidad Nacional de Cordoba, Laprida 854, 5000 Cordoba, Argentina
• OSTI ID: 7023646
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 37:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

640106* -- Astrophysics & Cosmology-- Cosmology
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COSMIC GASES
COSMOLOGICAL MODELS
EINSTEIN FIELD EQUATIONS
EQUATIONS
EQUATIONS OF STATE
EUCLIDEAN SPACE
FIELD EQUATIONS
FLUIDS
GASES
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
METRICS
RIEMANN SPACE
SPACE
VACUUM STATES