Newtonian-like congruences

Details Newtonian-like congruences Newtonian-like congruences

May 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999cqgra..16.1479t&link_type=abstract

Classical and Quantum Gravity, Volume 16, Issue 5, pp. 1479-1486 (1999).

Physics

2

Scientific paper

I consider the Newtonian-like, timelike congruences of Ellis and van Elst, which is to say timelike congruences which are both twist-free and shear-free. I find all such congruences in flat space and give an algorithm for recognizing candidates for such congruences in curved space. I find the metric form which is necessary and sufficient to admit infinitely many distinct such congruences. In particular, the spherically symmetric dust cosmologies of Bondi are seen to admit infinitely many.

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