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Elliptic fibrations associated with the Einstein spacetimes

Pawel Nurowski
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Abstract

Given a conformally nonflat Einstein spacetime we define a fibration $P$ over it. The fibres of this fibration are elliptic curves (2-dimensional tori) or their degenerate counterparts. Their topology depends on the algebraic type of the Weyl tensor of the Einstein metric. The fibration $P$ is a double branched cover of the bundle of null direction over the spacetime and is equipped with six linearly independent 1-forms which satisfy certain relatively simple system of equations.

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Pawel Nurowski. 1997-06-13. Elliptic fibrations associated with the Einstein spacetimes. https://doi.org/10.1063/1.532545

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