Asymptotically flat self-dual solutions to Euclidean gravity

Eguchi, Tohru; Hanson, Andrew J.

doi:10.1016/0370-2693(78)90566-x

Asymptotically flat self-dual solutions to Euclidean gravity

Journal Article · Mon Apr 10 04:00:00 EST 1978 · Physics Letters. B

DOI:https://doi.org/10.1016/0370-2693(78)90566-x· OSTI ID:1446816

Eguchi, Tohru ^[1]; Hanson, Andrew J. ^[2]

SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States)
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States)

In an attempt to find gravitational analogs of Yang-Mills pseudoparticles, we obtain two classes of self-dual solutions to the Euclidean Einstein equations. These matrics are free from singularities and approach a flat metric at infinity.

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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: AC02-76SF00515

OSTI ID:: 1446816

Report Number(s):: SLAC-PUB-2087; LBL-7273

Journal Information:: Physics Letters. B, Journal Name: Physics Letters. B Journal Issue: 3 Vol. 74; ISSN 0370-2693

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

References (17)

Empty‐Space Generalization of the Schwarzschild Metric Newman, E.; Tamburino, L.; Unti, T. Journal of Mathematical Physics, Vol. 4, Issue 7 https://doi.org/10.1063/1.1704018	journal	July 1963
Some solutions of complex Einstein equations Plebañski, J. F. Journal of Mathematical Physics, Vol. 16, Issue 12 https://doi.org/10.1063/1.522505	journal	December 1975
Empty Space-Times Admitting a Three Parameter Group of Motions Taub, A. H. The Annals of Mathematics, Vol. 53, Issue 3 https://doi.org/10.2307/1969567	journal	May 1951
The Flatter Regions of Newman, Unti, and Tamburino's Generalized Schwarzschild Space Misner, Charles W. Journal of Mathematical Physics, Vol. 4, Issue 7 https://doi.org/10.1063/1.1704019	journal	July 1963
Pseudoparticle solutions of the Yang-Mills equations Belavin, A. A.; Polyakov, A. M.; Schwartz, A. S. Physics Letters B, Vol. 59, Issue 1 https://doi.org/10.1016/0370-2693(75)90163-X	journal	October 1975
On the Curvatura Integra in a Riemannian Manifold Chern, Shiing-shen The Annals of Mathematics, Vol. 46, Issue 4 https://doi.org/10.2307/1969203	journal	October 1945
The renormalisable theory of gravitation and the einstein equations Belavin, A. A.; Burlankov, D. E. Physics Letters A, Vol. 58, Issue 1 https://doi.org/10.1016/0375-9601(76)90530-2	journal	July 1976
Observations on conformal anomalies Duff, M. J. Nuclear Physics B, Vol. 125, Issue 2 https://doi.org/10.1016/0550-3213(77)90410-2	journal	July 1977
Heaven and its properties Newman, Ezra T. General Relativity and Gravitation, Vol. 7, Issue 1 https://doi.org/10.1007/BF00762018	journal	January 1976
“Fractional winding numbers” and surface effects Römer, H.; Schroer, B. Physics Letters B, Vol. 71, Issue 1 https://doi.org/10.1016/0370-2693(77)90772-9	journal	November 1977
Quantum Gravity and World Topology Eguchi, Tohru; Freund, Peter G. O. Physical Review Letters, Vol. 37, Issue 19 https://doi.org/10.1103/PhysRevLett.37.1251	journal	November 1976
Spectral Asymmetry and Riemannian Geometry Atiyah, M. F.; Patodi, V. K.; Singer, I. M. Bulletin of the London Mathematical Society, Vol. 5, Issue 2 https://doi.org/10.1112/blms/5.2.229	journal	July 1973
The boundary integrand in the formula for the signature and Euler characteristic of a Riemannian manifold with boundary Gilkey, Peter B. Advances in Mathematics, Vol. 15, Issue 3 https://doi.org/10.1016/0001-8708(75)90141-3	journal	March 1975
Gravitational instantons Hawking, S. W. Physics Letters A, Vol. 60, Issue 2 https://doi.org/10.1016/0375-9601(77)90386-3	journal	February 1977
Harmonic Spinors Hitchin, Nigel Advances in Mathematics, Vol. 14, Issue 1 https://doi.org/10.1016/0001-8708(74)90021-8	journal	September 1974
Algebraically special H-spaces Fette, C. W. Journal of Mathematical Physics, Vol. 17, Issue 5 https://doi.org/10.1063/1.522959	journal	January 1976
Nonlinear gravitons and curved twistor theory Penrose, Roger General Relativity and Gravitation, Vol. 7, Issue 1 https://doi.org/10.1007/BF00762011	journal	January 1976

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