Abstract
An inhomogeneous cosmological model with massive strings as source term is developed in a Kaluza-Klein type of spacetime where the usual space exhibits spherical symmetry and the extra dimension is taken in the form of a circle. When an arbitrary constant in our solution vanishes we get an inhomogeneous cosmological model for pure dust, which further reduces to some particular forms of well known homogeneous models under suitable adjustment of arbitrary constants. The dynamical behaviour of the model is studied and it is found that the extra space admits of dimensional reduction via the successive appearances of one minimum and one maximum throughout its evolution.
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Chatterjee, S. Massive strings in higher-dimensional inhomogeneous spacetime. Gen Relat Gravit 25, 1079–1087 (1993). https://doi.org/10.1007/BF00763555
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DOI: https://doi.org/10.1007/BF00763555