The group theoretical analysis of gravitational instanton equations.

Details The group theoretical analysis of gravitational instanton equations. The group theoretical analysis of gravitational instanton equations.

Feb 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990jmp....31..300p&link_type=abstract

Journal of Mathematical Physics, Vol. 31, No. 2, p. 300 - 307

Mathematics

Mathematical Physics

6

Gravitation Theory

Scientific paper

Group theoretical properties of certain nonlinear partial differential equations playing a distinguished role in the gravitational instanton theory and in complex relativity are studied. It is demonstrated that, in general, the groups of contact transformations admitted by these equations appear to be the first prolongations of appropriate point transformation groups. An exceptional case leading to the Gibbons-Hawking metric is examined in detail.

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