GRAVITATIONAL INSTANTONS AS SU(2) GAUGE FIELDS

Capovilla, R.; Jacobson, T.; Dell, J.

doi:10.1088/0264-9381/7/1/001

GRAVITATIONAL INSTANTONS AS SU(2) GAUGE FIELDS

R. Capovilla
(
- Maryland U.
)
,
T. Jacobson
(
- Maryland U.
)
,
J. Dell
(
- Jefferson High School, Alexandria
)

1990

Published in:

Class.Quant.Grav. 7 (1990) L1-L3

DOI:

10.1088/0264-9381/7/1/001

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Abstract: (IOP)

Self-dual solutions to the complex Einstein equation with cosmological constant are characterised as SL(2, C) gauge fields satisfying an equation quadratic in the curvature. For a solution, a tetrad is constructed with respect to which the connection is the left handed spin connection. For real Euclidean signature, the connection reduces to an SU(2) connection.

general relativity
gravitation: instanton
Einstein equation
gauge field theory: SL(2,C)
gauge field theory: SU(2)
Bianchi identity

References(5)

Figures(0)

[1]

Gravitational Instantons From the Ashtekar Variables

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•
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Jacobson T
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•
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