Gravitational Gauge Theory Developed Based on the Stephenson-Kilmister-Yang Equation

Shen, Jian Qi

doi:10.1007/s10773-009-9929-9

Cited by 7 publications

(3 citation statements)

References 32 publications

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“…The work was inspired by early works conducted by Weyl [7], Lanczos [8], Utiyama [9], Lichnerowicz [10], Stephenson [11], Higgs [12], Kilmister and Newman [13], Loos [14], Loos and Treat [15], and Yang [16]. The theory was investigated and developed further by several different authors such as Ramaswamy and Yasskin [17], Tseytlin [18], Szczyrbac [19], Hehl et al [20], Maluf [21], Rose [22], and Guilfoyle and Nolan [23] and more recently by Vassiliev [24], Mielke and Maggiolo [25], Shen [26], and Pasic and Barakovic [27]. It was also extended/generalized to the Abelian/non-Abelian Kaluza-Klein (KK) theories of unified gravity by Bas ¸kal and Kuyrukcu [28]/Kuyrukcu [29], and its ability to solve various cosmological problems was discussed by Gerard [30], Cook [31], Gonzalez [32], Chen [33], Chen et al [34], and Yang and Yeung [35].…”

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 work was inspired by early works conducted by Weyl [7], Lanczos [8], Utiyama [9], Lichnerowicz [10], Stephenson [11], Higgs [12], Kilmister and Newman [13], Loos [14], Loos and Treat [15], and Yang [16]. The theory was investigated and developed further by many different authors such as Ramaswamy and Yasskin [17], Tseytlin [18], Szczyrbac [19], Hehl et al [20], Maluf [21], Rose [22], and Guilfoyle and Nolan [23], and more recently by Vassiliev [24], Mielke and Maggiolo [25], Shen [26], and Pasic and Barakovic [27]. It was also extended/generalized to the Abelian/non-Abelian Kaluza-Klein theories of unified gravity [28][29][30][31][32][33][34] by Başkal and Kuyrukcu/Kuyrukcu [35]/ [36], and its ability to solve various cosmological problems was discussed by Gerard [37], Cook [38], Gonzalez [39], Chen [40], Chen et al [41], and Yang and Yeung [42].…”

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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“…In this approach CC is no longer arbitrary but determined by the boundary condition of the universe, which is geometrical in nature and has nothing to do with the quantum vacuum energy. For example it has been proposed that the underlying geometry is the de Sitter space and this integration constant has been associated with the radius of curvature of the de Sitter space [19,25,29]. Therefore the SKYC formulation of gravity may provide a solution to the CC problem.…”

Section: Introductionmentioning

confidence: 99%

Natural emergence of cosmological constant and dark radiation from the Stephenson-Kilmister-Yang-Camenzind theory of gravity

2013

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We show that the Stephenson-Kilmister-Yang (SKY) equation combined with Camenzind's matter current term naturally provides the cosmological constant and dark radiation as integration constants of the SKYC field equation. To characterize the property of the dark radiation, we develop a method to separate it from the ordinary radiation. We found a special property of Camenzind's matter current, namely that the solution space for radiation in fact belongs to that of the vacuum solution of SKY equation. We also found that his matter current does not obey the conservation condition suggested by Kilmister. Finally, we discuss the possible role of dark radiation emergent from the SKYC theory in recent cosmic-microwave-background observations and its implications to the inflation scenario. PACS numbers: 98.35.Gi, 95.30.Sf, 95.35.+d

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Gravitational Gauge Theory Developed Based on the Stephenson-Kilmister-Yang Equation

Cited by 7 publications

References 32 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

Natural emergence of cosmological constant and dark radiation from the Stephenson-Kilmister-Yang-Camenzind theory of gravity

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