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- MakaleAçık Erişim2024Teleparallel Energy Density within the Framework of Rainbow Gravitation Theory for A Spatial Self-Similar, Local Rotational Symmetric Model
Korunur, Murat; Korunur, Sibel
It is known that the general theory of relativity provides valuable answers about our universe. General relativity theory is used to describe space, time, and mass-energy interactions, while quantum theory is used to explain the behavior and interactions of microscopic particles. The gap between these two theories reveals the need to develop a unified theory of "quantum gravity". However, so far no universal theory has yet been found that fully resolves this conflict. This is a big puzzle that physicists have been working on for a long time, and unifying these two theories harmoniously is one of the biggest challenges in modern physics. One of the theories put forward for this purpose is the "Rainbow" theory of gravity. In this study, Einstein, Bergmann-Thomson and Landau-Lifshitz energy densities are calculated for a spatial self-similar, locally rotationally symmetric model using teleparallel geometry within the framework of the Rainbow theory of gravity. However, the results obtained are evaluated using rainbow functions that are well known in the literature. The obtained results are rewritten as explicit forms of energy densities for Einstein, Bergman-Thomson and Landau-Liftshitz representations using f_1 (\\chi)=1/(1-\\chi)and f_2 (\\chi)=1 rainbow functions. Accordingly, it has been shown that the test particle changes its energy density for the Einstein and Bergmann-Thomson energy-momentum prescriptions but does not change the energy density for the Landau-Liftshitz energy-momentum prescription.
- MakaleAçık Erişim2020Energy-momentum puzzle in a bianchi-type ıı universe with 𝒇(𝑻) gravity
Korunur, Murat
The energy-momentum localization problem, which was attemted by Einstein himself for thefirst time, has been continued to the present day. Recently, new prescription obtained bymodifying the torsion theory and these results shed light on the solution of the energymomentum localisation problem. Focusing this purpose, we consider a Locally RotationallySymmetric Bianchi Type-II model in the teleparallel framework and calculate the modifiedenergy and momentum density for the general case. We also obtain the energy andmomentum density for some special cases of the modified theory and compare our resultswith previous work in the literature.
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İncele - MakaleYalnız künye2017Absolute Parallelism in The Bainchi-Type IX Taub Solution
Korunur, Murat
Bu çalışmada, mutlak paralellizm olarak bilinen alternatif bir bakış açısıyla ünlü kütleçekim problemlerinden birini inceliyoruz. Bainchi-Type IX uzay-zamanın Taub çözümü ve mutlak paralellizmde Hamilton yaklaşımı tekniği göz önüne alındığında, bu duruma karşılık gelen açısal momentum, toplam enerji ve momentum dağılımları elde edilmektedir. Temel sonuçlarımızın diğer bir yazar tarafından literatürde yayınlanan sonuçlarla uyumlu olduğu görülmektedir
- MakaleYalnız künye2016New complex exact travelling wave solutions for the generalized- Zakharov equation with complex structures
Bulut, Hasan; Baskonus, Haci Mehmet
In this paper, we apply the sine-Gordon expansion method which is one of the powerful methods to the generalized-Zakharov equation with complex structure. This algorithm yields new complex hyperbolic function solutions to the generalized-Zakharov equation with complex structure. Wolfram Mathematica 9 has been used throughout the paper for plotting two- and three-dimensional surface of travelling wave solutions obtained.