Sheaves of Einstein algebras

Details Sheaves of Einstein algebras Sheaves of Einstein algebras

Mar 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995ijtp...34..387h&link_type=abstract

International Journal of Theoretical Physics, Volume 34, Issue 3, pp.387-398

Physics

5

Scientific paper

To include all types of singularities into a geometrically tractable theoretical scheme we change from Einstein algebras, an algebraic generalization of general relativity, to sheaves of Einstein algebras. The theory of such spaces, called Einstein structured spaces, is developed. Both quasiregular and curvature singularities are studied in some detail. Examples of the closed Friedmann world model and the Schwarzschild spacetime show that Schmidt's b-boundary is a useful theoretical tool when considered in the category of structured spaces.

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