Investigation of the Problem of Singularities in General Relativity

Details Investigation of the Problem of Singularities in General Relativity Investigation of the Problem of Singularities in General Relativity

Sep 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980ijtp...19..681b&link_type=abstract

International Journal of Theoretical Physics, Volume 19, Issue 9, pp.681-691

Physics

Scientific paper

Recently Addy and Datta have obtained a linearized solution for isentropic motions of a perfect fluid by assigning Cauchy data on the hypersurface x 4=0 and by imposing a restriction on the equation of state. In the present paper we pursue this study and discuss the problem of singularities from the standpoint of a local observer for which a singularity is defined as a state with an infinite proper rest mass density. It is shown that for a closed universe with any distribution of matter whatsoever there occurred a singularity in the past in the nonrotating parts of the universe and it must recur in the future. Furthermore, the collapse of a rotating fluid to a singularity seems inevitable when the relativistic equation of state is considered.

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