Melis Aygun

Energy-momentum localization in Marder space-time

Considering the Einstein, Møller, Bergmann-Thomson, Landau-Lifshitz (LL), Papapetrou, Qadir-Sharif and Weinberg’s definitions in general relativity, we find the momentum four-vector of the closed Universe based on Marder space-time. The momentum four-vector (due to matter plus field) is found to be zero. These results support the viewpoints of Banerjee-Sen, Xulu and Aydoġdu-Saltı. Another point is that our study agrees with the previous works of Cooperstock-Israelit, Rosen, Johri et al.

Topological defect solutions in the spherically symmetric space-time admitting conformal motion

In this paper, we have examined strings with monopole and electric field and domain walls with matter and electric field in the spherically symmetric space-time admitting a one-parameter group of conformal motions. For this purpose, we have solved Einsteins field equations for a spherically symmetric space-time via conformal motions. Also, we have discussed the features of the obtained solutions.

Møller Energy Complexes of Monopoles and Textures in General Relativity and Teleparallel Gravity

The energy problem of monopole and texture spacetimes is investigated in the context of two different approaches of gravity such as general relativity and teleparallel gravity. In this connection, firstly the energies for monopoles and textures are evaluated by using the Moller energy–momentum prescription in different approximations. It is obtained that energy distributions of Moller definition give the same results for these topological defects (monopole and texture) in general relativity (GR) and teleparallel gravity (TG). The results strengthen the importance of the Moller energy–momentum definitions in given spacetimes and the viewpoint of Lessner that Moller energy–momentum complex is a powerful concept for energy and momentum.

Energy of Rigidly Rotating Wormhole Space‐time

This study is purposed to elaborate the problem of energy distribution of the Rigidly Rotating Wormhole space‐time in general theory of relativity. In this connection, we use the energy‐momentum definitions of Einstein, Bergmann‐Thomson and Tolman. We obtained that the energy distributions of Einstein, Bergmann‐Thomson and Tolman definitions give the same results in Rigidly Rotating Wormhole space‐time.

Domain Wall Solutions With Quark Matter In Higher Dimensional Space‐Times

In this paper, we have examined quark matter in the perfect form attached to domain walls in the higher dimensional spherical symmetric space‐time admitting one‐parameter group of conformal motions. For this purpose, we have solved Einstein’s field equations for higher dimensional spherical symmetric space‐time via conformal motions. Also, we have discussed the features of the obtained solutions.

Møller Energy–Momentum Complex in General Relativity for Higher Dimensional Universes

Using the Moller energy–momentum definition in general relativity (GR) we calculate the total energy–momentum distribution associated with (n+2)-dimensional homogeneous and isotropic model of the universe. It is found that total energy of Moller is vanishing in (n+2) dimensions everywhere but n-momentum components of Moller in (n+2) dimensions are different from zero. Also, we evaluate the static Einstein Universe, FRW universe and de Sitter universe in four dimensions by using (n+2)-type metric, then calculate the Moller energy–momentum distribution of these spacetimes. However, our results are consistent with the results of Banerjee and Sen, Xulu, Radinschi, Vargas, Cooperstock-Israelit, Aygun et al., Rosen, and Johri et al. in four dimensions.