From hyperheavenly spaces to Walker and Osserman spaces: II

Details From hyperheavenly spaces to Walker and Osserman spaces: II From hyperheavenly spaces to Walker and Osserman spaces: II

Dec 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008cqgra..25w5019c&link_type=abstract

Classical and Quantum Gravity, Volume 25, Issue 23, pp. 235019 (2008).

Physics

2

Scientific paper

Spinorial formalism employed in the weak hyperheavenly ({\cal H}{\cal H}) space theory is used to study Osserman spaces. General forms of metrics of signature (+ + - -) for self-dual pointwise Osserman, globally Osserman and globally Jordan Osserman spaces admitting a two-dimensional totally null self-dual integrable distribution are found by searching for solutions to respective hyperheavenly equations with Λ. As is shown the metrics obtained describe locally all self-dual pointwise Osserman, globally Osserman and globally Jordan Osserman spaces of types II, III, N, 0 and D (where in the case of type D one assumes that the multiple undotted Penrose spinors are real).

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