Elsevier

Physics Letters A

Volume 60, Issue 2, 7 February 1977, Pages 81-83
Physics Letters A

Gravitational instantons

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Abstract

By analogy with Yang-Mills' theory, gravitational instantons are defined to be solutions of the classical Einstein equations which are non-singular on some section of complexified spacetime and in which the curvature dies away at large distances. The Schwarzschild and Taub-NUT solutions are simple examples, the latter being self-dual. A many Taub-NUT solution is also given. The significance of the two integrals in the curvature which are pure divergences is discussed.

References (10)

  • A.A. Belavin

    Phys. Lett.

    (1975)
  • R. Delbourgo et al.

    Phys. Lett.

    (1972)
  • J.B. Hartle et al.

    Phys. Rev.

    (1976)
  • G.W. Gibbons and S.W. Hawking, Action integrals and partition functions in quantum gravity, Phys. Rev. D, to be...
  • C.W. Misner

    J. Math. Phys.

    (1965)
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