A Newman-Penrose formalism for gravitational instantons

Details A Newman-Penrose formalism for gravitational instantons A Newman-Penrose formalism for gravitational instantons

Oct 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994gregr..26..979g&link_type=abstract

General Relativity and Gravitation, Volume 26, Issue 10, pp.979-997

Computer Science

9

Scientific paper

A Euclidean version of the Newman-Penrose formalism is developed for the study of gravitational instantons. The formalism is explicitly based on theSU(2)×SU(2) spin structure of positive definite metrics. A Geroch-Held-Penrose formulation is also presented. The Euclidean analogues of several fundamental results in relativity are proved, including the Petrov classification and the Ehlers-Sachs, Goldberg-Sachs, and Mariot-Robinson theorems. In addition, the connection between Petrov type and the admissibility of complex structures is elucidated.

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