ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
A scenario is discussed in a Kaluza–Klein type of space–time with a cosmological constant for an inhomogeneous matter field obeying an equation of state p=kρ≠p5, where k is a constant, p is the isotropic pressure in the three-space, and p5 is that for the extra fifth dimension. It is found that the usual three-dimensional space expands exponentially while, depending on the signature of the arbitrary constants of integration, the extra scale either expands indefinitely or exhibits the desirable feature of dimensional reduction. It is interesting to point out that in the former case both the scales do not show any big bang type of singularity. Moreover, p5 automatically vanishes in this model. The present work is very general in nature because in special cases it reduces to some well-known solutions in the relevant field. © 1995 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.531355
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