1,723,307 research outputs found
Nonminimal Wu-Yang wormhole
No full textWe discuss exact solutions of a three-parameter nonminimal Einstein-Yang-Mills model, which describe the wormholes of a new type. These wormholes are considered to be supported by the SU(2)-symmetric Yang-Mills field, nonminimally coupled to gravity, the Wu-Yang ansatz for the gauge field being used. We distinguish between regular solutions, describing traversable nonminimal Wu-Yang wormholes, and black wormholes possessing one or two event horizons. The relation between the asymptotic mass of the regular traversable Wu-Yang wormhole and its throat radius is analyzed. © 2007 The American Physical Society
Nonminimal Wu-Yang wormhole
Full text linkWe discuss exact solutions of a three-parameter nonminimal Einstein-Yang-Mills model, which describe the wormholes of a new type. These wormholes are considered to be supported by the SU(2)-symmetric Yang-Mills field, nonminimally coupled to gravity, the Wu-Yang ansatz for the gauge field being used. We distinguish between regular solutions, describing traversable nonminimal Wu-Yang wormholes, and black wormholes possessing one or two event horizons. The relation between the asymptotic mass of the regular traversable Wu-Yang wormhole and its throat radius is analyzed. © 2007 The American Physical Society
Wu-Yang Fields
Full text linkWe generalise the definition of a Wu-Yang field in R^3, to the generic case in R_d, with the exceptions of d = 2, 4
Spatial Geometry and the Wu-Yang Ambiguity
No full textWe display continuous families of SU(2) vector potentials in 3 space dimensions which generate the same magnetic field (with det ). These Wu-Yang families are obtained from the Einstein equation derived recently via a local map of the gauge field system into a spatial geometry with -tensor and connection with torsion defined from gauge covariant derivatives of .We display continuous families of SU(2) vector potentials in 3 space dimensions which generate the same magnetic field (with det ). These Wu-Yang families are obtained from the Einstein equation derived recently via a local map of the gauge field system into a spatial geometry with -tensor and connection with torsion defined from gauge covariant derivatives of .We display continuous families of SU(2) vector potentials in 3 space dimensions which generate the same magnetic field (with det ). These Wu-Yang families are obtained from the Einstein equation derived recently via a local map of the gauge field system into a spatial geometry with -tensor and connection with torsion defined from gauge covariant derivatives of .We display continuous families of SU(2) vector potentials in 3 space dimensions which generate the same magnetic field (with det ). These Wu-Yang families are obtained from the Einstein equation derived recently via a local map of the gauge field system into a spatial geometry with -tensor and connection with torsion defined from gauge covariant derivatives of
Non-minimal Wu–Yang monopole
Full text linkAbstractWe discuss new exact spherically symmetric static solutions to non-minimally extended Einstein–Yang–Mills equations. The obtained solution to the Yang–Mills subsystem is interpreted as a non-minimal Wu–Yang monopole solution. We focus on the analysis of two classes of the exact solutions to the gravitational field equations. Solutions of the first class belong to the Reissner–Nordström type, i.e., they are characterized by horizons and by the singularity at the point of origin. The solutions of the second class are regular ones. The horizons and singularities of a new type, the non-minimal ones, are indicated
Non-minimal Wu-Yang monopole
No full textWe discuss new exact spherically symmetric static solutions to non-minimally extended Einstein-Yang-Mills equations. The obtained solution to the Yang-Mills subsystem is interpreted as a non-minimal Wu-Yang monopole solution. We focus on the analysis of two classes of the exact solutions to the gravitational field equations. Solutions of the first class belong to the Reissner-Nordström type, i.e., they are characterized by horizons and by the singularity at the point of origin. The solutions of the second class are regular ones. The horizons and singularities of a new type, the non-minimal ones, are indicated. © 2006 Elsevier B.V. All rights reserved
Comment on "Revisiting the Wu-Yang approach to magnetic charge''
Full text linkIn two recent papers Gonuguntla and Singleton claim that the Wu-Yang fiber
bundle approach does not lead to to a consistent model for magnetic charge. We
point out that this claim is false.Comment: 2 pages, no figure
Comment on "Revisiting the Wu-Yang approach to magnetic charge''
No full textInternational audienceIn two recent papers Gonuguntla and Singleton claim that the Wu-Yang fiber bundle approach does not lead to to a consistent model for magnetic charge. We point out that this claim is false
Isopin-dependent o(4,2) symmetry of self-dual Wu-Yang monopoles
Full text linkA spinless particle in an SU(2) self-dual Wu-Yang monopole field is shown to admit an o(4,2) dynamical symmetry with isospin dependent generators found previously by Barut and Bornzin. This same symmetry arises for a spinless particle with anomalous charge studied by D’Hoker and Vinet, which we relate to a (spinless) ‘nucleon’ in the self-dual Wu-Yang monopole’s field
The Wu-Yang ambiguity revisited
No full textSeveral examples are given of continuous families of SU(2) vector potentials in 3 space dimensions which generate the same magnetic field (with det ). These Wu-Yang families are obtained from the Einstein equation derived recently via a local map of the gauge field system into a spatial geometry with -tensor and connection with torsion defined from gauge covariant derivatives of .Several examples are given of continuous families of SU(2) vector potentials in 3 space dimensions which generate the same magnetic field (with det ). These Wu-Yang families are obtained from the Einstein equation derived recently via a local map of the gauge field system into a spatial geometry with -tensor and connection with torsion defined from gauge covariant derivatives of .Several examples are given of continuous families of SU(2) vector potentials A a i ( x ) in 3 space dimensions which generate the same magnetic field B ai ( x ) (with det B ≠ 0). These Wu-Yung families are obtained from the Einstein equation R ij = −2 G ij derived recently via a local map of the gauge field system into a spatial geometry with 2-tensor G ij = B a i B a j det B and connection Γ i jk with torsion defined from gauge covariant derivatives of B
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