From Wikipedia, the free encyclopedia
In mathematics, the GibbonsâHawking ansatz is a method of constructing
gravitational instantons introduced by
Gary Gibbons and
Stephen Hawking (
1978,
1979). It gives examples of
hyperkÀhler manifolds in dimension 4 that are invariant under a
circle action.
See also
References
- Gibbons, G.W.;
Hawking, S. W. (1978), "Gravitational multi-instantons", Physics Letters B, 78 (4): 430â432,
Bibcode:
1978PhLB...78..430G,
doi:
10.1016/0370-2693(78)90478-1,
ISSN
0370-2693
- Gibbons, G. W.;
Hawking, S. W. (1979),
"Classification of gravitational instanton symmetries", Communications in Mathematical Physics, 66 (3): 291â310,
Bibcode:
1979CMaPh..66..291G,
doi:
10.1007/bf01197189,
ISSN
0010-3616,
MR
0535152,
S2CID
123183399
- Gonzalo PĂ©rez, JesĂșs; Geiges, Hansjörg (2010), "A homogeneous GibbonsâHawking ansatz and Blaschke products",
Advances in Mathematics, 225 (5): 2598â2615,
arXiv:
0807.0086,
doi:
10.1016/j.aim.2010.05.006,
ISSN
0001-8708,
MR
2680177
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