Viscous fluid in a Kaluza-Klein metric

Details Viscous fluid in a Kaluza-Klein metric Viscous fluid in a Kaluza-Klein metric

May 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990ap%26ss.167...61c&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 167, no. 1, May 1990, p. 61-67. Research supported by UGCI and Council of

Astronomy and Astrophysics

Astrophysics

9

Cosmology, Metric Space, Space-Time Functions, Viscous Fluids, Astronomical Models, Gravitation Theory, Tensors

Scientific paper

Exact solutions are obtained in a five-dimensional space-time with an energy-momentum tensor containing a viscous fluid, assuming either an equation of state or a special form for the viscous term in line with the assumption of Belinskii and Khalatnikov (1977). It is found that dimensional reduction of the extra space takes place in some of the cases such that the five-dimensional universe naturally evolves into an effective four-dimensional one. A huge amount of entropy can be produced following this shrinkage of extra-dimension which may account for the very large value of entropy per baryon observed in the four-dimensional world. The observed constancy of the rest-mass in the present era is also interpreted.

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