Kaluza-Klein reduction of a quadratic curvature model

Baskal, Sibel
Kuyrukcu, Halil
Palatini variational principle is implemented on a five dimensional quadratic curvature gravity model, rendering two sets of equations, which can be interpreted as the field equations and the stress-energy tensor. Unification of gravity with electromagnetism and the scalar dilaton field is achieved through the Kaluza-Klein dimensional reduction mechanism. The reduced curvature invariant, field equations and the stress-energy tensor are obtained in the actual four dimensional spacetime. The structure of the interactions among the constituent fields is exhibited in detail. It is shown that the Lorentz force density naturally emerges from the reduced field equations and the equations of the standard Kaluza-Klein theory are demonstrated to be intrinsically contained in this model.


Compatibility of the dimensional reduction and variation procedures for a quadratic curvature model with a Kaluza-Klein ansatz
Çelik, Sinan; Baykal, Zübeyde Sibel; Department of Physics (2021-9-02)
The Kaluza-Klein theory is investigated for a 5D quadratic curvature Lagrangian. In order to obtain the field equations in the actual 4D spacetime, there are two different approaches composed of two successive applications to be implemented to the 5D action. Either one applies the least action principle with respect to the 5D variables and then uses the dimensional reduction mechanism, or changes the order by first reducing the action and then takes the variations with respect to the constituent fields of t...
3-D model for the analysis of rectangular machine foundations on a soil layer
Aşık, Mehmet Zülfü (1997-07-04)
In order to analyze the rectangular machine foundations subjected to a vertical harmonic force, a simple mathematical model based on variational principle is developed. A surface footing is resting on a layer of soil deposit with a non-compliant rock or rock-like material at the base. Governing equations of the problem are obtained through the minimization of energy using Hamilton's principle. Equations are nondimensionalized and written in terms of nondimensional parameters which are very useful in enginee...
An integral equation approach to the computation of nonlinear fields in electrical machines
Kükrer, Osman; Ertan, H. Bülnet (Institute of Electrical and Electronics Engineers (IEEE), 1988-7)
A numerical method based on an integral equation formulation, for the computation of nonlinear magnetostatic field, in two dimensions in cylindrical polar coordinates is given. The correctness of the method is illustrated by solving two linear two-dimensional magnetic field problems which have readily available analytical solutions. The dependence of the accuracy of the solution on the number and distribution of the meshes is studied on these examples. The method is then applied to the computation of the no...
Non-Abelian gauge theories of the Yang-Mills type
Abuhatab, Ahmed; Başkal, Sibel; Department of Physics (2003)
In this thesis, starting from the effective Lagrangians of the standard Yang-Mills, higher derivative Yang-Mills and the Chern-Simons- Yang-Mills theories, we have given the corresponding field equations and the symmetric gauge invariant energy- momentum tensors. Lagrangians containing higher derivative terms have been found useful for discussing the long lange effects of the gluon fields. A numeri cal solution is found for a spherically symmetric static gauge potential. On the other hand, Chern-Simons- Yan...
Radiation in Yang-Mills Formulation of Gravity and a Generalized pp-Wave Metric
Başkal, Sibel (Oxford University Press (OUP), 1999-10-1)
Variational methods applied to a quadratic Yang-Mills-type Lagrangian yield two sets of relations interpreted as the field equations and the energy-momentum tensor for the gravitational field. A covariant condition is imposed on the energy-momentum tensor in order for it to represent the radiation field. A generalized pp-wave metric is found to simultaneously satisfy both the field equations and the radiation condition. The result is compared with that of Lichnerowicz.
Citation Formats
S. Baskal and H. Kuyrukcu, “Kaluza-Klein reduction of a quadratic curvature model,” GENERAL RELATIVITY AND GRAVITATION, pp. 359–371, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64581.