Gravitational instantons

Details Gravitational instantons Gravitational instantons

Dec 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979gregr..11..315e&link_type=abstract

General Relativity and Gravitation, vol. 11, Dec. 1979, p. 315-320.

Physics

8

Field Theory (Physics), Gravitation Theory, Quantum Theory, Relativity, Einstein Equations, Euclidean Geometry, Field Strength, Metric Space, Nonlinear Equations

Scientific paper

It is noted that in Yang-Mills gauge theories, the instanton solutions of classical field equations with self-dual field strength have given rise to a new, nonperturbative treatment of the quantum field theory and its vacuum state. It is suggested that similar phenomena might occur in gravity since gravitation is also a species of gauge theory. A new self-dual solution to Euclidean gravity is described which plays a role parallel to that of the Yang-Mills instanton. It is concluded that gravitational instantons now promise to yield new insights into the nature of quantum gravity.

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