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Scientific paper
Dec 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002cqgra..19.6345g&link_type=abstract
Classical and Quantum Gravity, Volume 19, Issue 24, pp. 6345-6357 (2002).
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2
Scientific paper
A solution to Einstein's equations is presented which describes an inhomogeneous universe with anisotropic pressure in the Kantowski-Sachs family. The spacetime is composed of a series of spherical shells of dust particles which possess angular momentum within the shell. The solution is derived from a spherically symmetric spacetime with the same matter content by fixing the areal radius of each shell to be equal. The spacetime may be thought of as the surface of a cylinder, each circle z = constant of which represents a two-sphere. As time passes, the cylinder expands or collapses and the shells move relative to one another on the surface of the cylinder. The equation describing the relative motion of the matter shells reveals that the flux of the gravitational field is directed along the cylinder and alters the motion of the shells in a physically intuitive way.
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