arXiv subjects

Halil Kuyrukcu

Publications and source records attributed to Halil Kuyrukcu.

3 recordsLinked to original sources

arXiv2022

The five dimensional transformed Weyl$-$Yang$-$Kaluza$-$Klein theory of gravity

We study the case in which the five dimensional theory is the transformed Weyl$-$Yang$-$Kaluza$-$Klein gravity. The dimensionally reduced equations of motion are derived by considering an alternative form of the main equation of the theory in the coordinate basis. The conformal transformation rules are applied to the invariants. We also discuss the possible specific cases and the new Lorentz force density term, in detail.

gr-qc↗

arXiv2021

The non-Abelian Weyl-Yang-Kaluza-Klein gravity model

The Weyl$-$Yang gravitational gauge theory is investigated in the structure of a pure higher-dimensional non-Abelian Kaluza$-$Klein background. We construct the dimensionally reduced field equations and stress-energy-momentum tensors as well as the four dimensional modified Weyl$-$Yang$+$Yang$-$Mills theory from an arbitrary curved $internal$ space in the anholonomic frame which are the extensions of our previous model for the non-Abelian case. In particular, the coset space reduction is considered to explicitly obtain the interactions between the gravitational and the gauge fields. The resulting equations not only appear to be generalization of the well-established equations of non-Abelian theory but also contain intrinsically the generalized gravitational source term which does not exist in the literature so far and the Yang$-$Mills force density which is exactly equivalent to the negative gradient of a Yang$-$Mills quadratic invariant.

hep-th↗

arXiv2021

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

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 $\ell$ 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.

gr-qc↗