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arXiv · 2211.03207

Hyperheavenly spaces and their application in Walker and para-K\"ahler geometries: part II

Adam Chudecki
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Abstract

4-dimensional spaces equipped with congruences of null strings are considered. It is assumed that a space admits a congruence of expanding self-dual null strings and its self-dual part of the Weyl tensor is algebraically degenerate. Different Petrov-Penrose types of such spaces are analyzed. A special attention is paid to para-K\"ahler Einstein spaces. All para-K\"ahler Einstein metrics of spaces with algebraically degenerate self-dual Weyl spinor are found in all the generality.

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Adam Chudecki. 2022-11-06. Hyperheavenly spaces and their application in Walker and para-K\"ahler geometries: part II. https://doi.org/10.1016/j.geomphys.2023.104826

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