In
mathematical physics
Mathematical physics refers to the development of mathematical methods for application to problems in physics. The '' Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and the developme ...
, a Gibbons–Hawking space, named after
Gary Gibbons
Gary William Gibbons (born 1 July 1946)
is a British theoretical physicist.
Education
Gibbons was born in Coulsdon, Surrey. He was educated at Purley County Grammar School and the University of Cambridge, where in 1969 he became a researc ...
and
Stephen Hawking, is essentially a
hyperkähler manifold
In differential geometry, a hyperkähler manifold is a Riemannian manifold (M, g) endowed with three integrable almost complex structures I, J, K that are Kähler with respect to the Riemannian metric g and satisfy the quaternionic relations I^2 ...
with an extra
U(1)
In mathematics, the circle group, denoted by \mathbb T or \mathbb S^1, is the multiplicative group of all complex numbers with absolute value 1, that is, the unit circle in the complex plane or simply the unit complex numbers.
\mathbb T = \.
...
symmetry.
(In general, Gibbons–Hawking metrics are a subclass of
hyperkähler metrics.
) Gibbons–Hawking spaces, especially ambipolar ones,
find an application in the study of
black hole microstate geometries.
See also
* Gibbons–Hawking effect
References
{{DEFAULTSORT:Gibbons-Hawking space
Structures on manifolds
Complex manifolds
Riemannian manifolds
Algebraic geometry
Stephen Hawking