Spherically symmetric Kaluza-Klein monopoles

Lee, H.-M.; Lee, S.-C.

doi:10.1016/0370-2693(84)91559-4

Cited by 28 publications

(2 citation statements)

References 9 publications

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“…It should also be emphasized that the magnetic-monopole solutions (i.e. topological solitons [89]) together with the dyon, instanton, and meron solutions play very significant roles, not only in 4D Einstein-Yang-Mills-Higgs theories [90] but also in (non)-Abelian KK theories [91][92][93][94][95][96][97], since they show explicitly the interaction between the gravitational, gauge, and dilatonic fields, although they are not experimentally observed. Conversely, despite being the simplest acceptable non-Abelian models [98], the 6D and 7D theories are not as physically attractive as the 5D Abelian and 11D supergravity and superstring models.…”

Section: Introductionmentioning

confidence: 99%

A black hole solution of higher-dimensional Weyl–Yang–Kaluza–Klein theory

Kuyrukcu¹

2021

Class. Quantum Grav.

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We consider the Weyl-Yang gauge theory of gravitation in a (4 + 3)dimensional curved space-time within the scenario of the non-Abelian Kaluza-Klein theory for the source and torsion-free limits. The explicit forms of the field equations containing a new spin current term and the energy-momentum tensors in the usual four dimensions are obtained through the well-known dimensional reduction procedure. In this limit, these field equations admit (anti-)dyon and magnetic (anti-)monopole solutions as well as non-Einsteinian solutions in the presence of a generalized Wu-Yang ansatz and some specific warping functions when the extra dimensions associated with the round and squashed three-sphere S 3 are, respectively, included. The (anti-) dyonic solution has similar properties to those of the Reissner-Nordström-de Sitter black holes of the Einstein-Yang-Mills system. However, the cosmological constant naturally appears in this approach, and it associates with the constant warping function as well as the three-sphere radius. It is demonstrated that not only the squashing parameter behaves as the constant charge but also its sign can determine whether the solution is a dyon/monopole or an antidyon/antimonopole. It is also shown by using the power series method that the existence of nonconstant warping function is essential for finding new exact Schwarzschild-like solutions in the considered model.

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Section: Introductionmentioning

confidence: 99%

A black hole solution of higher-dimensional Weyl–Yang–Kaluza–Klein theory

Kuyrukcu¹

2021

Class. Quantum Grav.

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“…The Wu-Yang monopoles (actually Wu-Yang solutions [101]) may be interpreted as non-Abelian versions of the Dirac magnetic monopole [102] (for a review, see e.g., [103,104]), and they are a very important gauge class for quantum chromodynamics with instanton-like configurations [105]. It should also be emphasized that the magnetic monopole solutions (i.e., topological solitons [106]) together with the dyon, instanton, and meron solutions play very significant roles, not only in 4D Einstein-Yang-Mills-Higgs (EYMH) theories [107][108][109][110] but also in (non)-Abelian Kaluza-Klein theories [111][112][113][114][115][116][117][118][119][120], since they show explicitly the interaction between the gravitational, gauge, and dilatonic fields, although they are not experimentally observed. On the other hand, despite being the simplest acceptable non-Abelian models [121], the 6D and 7D theories are not as physically attractive as the 5D Abelian and 11D supergravity and superstring models.…”

Section: Introductionmentioning

confidence: 99%

A black hole solution of higher-dimensional Weyl-Yang-Kaluza-Klein theory

Kuyrukcu

2016

Preprint

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We consider the Weyl-Yang gauge theory of gravitation in a (4+3)-dimensional curved space-time within the scenario of the non-Abelian Kaluza-Klein theory for the source and torsion-free limits. The explicit forms of the field equations containing a new spin current term and the energy-momentum tensors in the usual four dimensions are obtained by the well-known dimensional reduction procedure. In this limit, these field equations admit (anti)-dyon and magnetic (anti)-monopole solutions as well as a non-Einsteinian solution in the presence of a generalized Wu-Yang ansatz and some specific scalar potentials when the extra dimensions associated with the round and squashed three-sphere S 3 are, respectively, included. The (anti)-dyonic solution has similar properties to those of the Reissner-Nordström-de Sitter black holes of the Einstein-Yang-Mills system. The cosmological constant naturally appears in this approach, and that it associates with the constant dilaton field as well as the three-sphere radius. It is demonstrated that the squashing parameter not only behaves as the constant charge, but also its sign can determine whether the solution is a dyon/monopole or an anti-dyon/anti-monopole. It is also shown that whether the source term reduces to Camenzind's current density, and that the existence of non-constant dilaton fields is essential for finding new black hole solutions in the Weyl-Yang gauge theory.

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Fifth force from Kaluza-Klein unification

Cho

Park

1991

Gen Relat Gravit

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Spherically symmetric Kaluza-Klein monopoles

Cited by 28 publications

References 9 publications

A black hole solution of higher-dimensional Weyl–Yang–Kaluza–Klein theory

A black hole solution of higher-dimensional Weyl–Yang–Kaluza–Klein theory

A black hole solution of higher-dimensional Weyl-Yang-Kaluza-Klein theory

Fifth force from Kaluza-Klein unification

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