scholarly journals Energy-Momentum Density of Non-Diagonal Bianchi Type Space-Time in General Relativity and Teleparallel Gravity

2021 ◽  
Vol 09 (09) ◽  
pp. 2355-2375
Author(s):  
Ragab M. Gad ◽  
Haifaa A. Alharbi
Keyword(s):  
General Relativity ◽  
Bianchi Type ◽  
Teleparallel Gravity ◽  
Momentum Density ◽  
Space Time ◽  
Type Space

scholarly journals GRAVITATIONAL ENERGY–MOMENTUM DENSITY IN BIANCHI TYPE II SPACE–TIMES

2006 ◽  
Vol 15 (04) ◽  
pp. 459-468 ◽  
Author(s):  
OKTAY AYDOGDU
Keyword(s):  
General Relativity ◽  
Energy Distribution ◽  
Total Energy ◽  
Bianchi Type ◽  
Teleparallel Gravity ◽  
Momentum Density ◽  
Gravitational Energy ◽  
Type Ii ◽  
Rotationally Symmetric ◽  
Total Energy Distribution

In this paper, using Einstein, Landau and Lifshitz's energy–momentum complexes both in general relativity and teleparallel gravity, we calculate the total energy distribution (due to matter and fields, including gravitation) associated with locally rotationally symmetric (LRS) Bianchi type II cosmological models. We show that energy densities in these different gravitation theories are the same, so they agree with each other. We obtain the result that the total energy is zero. This result agrees with previous works of Cooperstock and Israelit, Rosen, Johri et al., Banerjee and Sen, Vargas, Aydogdu and Saltı. Moreover, our result supports the viewpoints of Albrow and Tryon.

Energy–momentum distributions of Ruban universe in general relativity and teleparallel gravity

2019 ◽  
Vol 34 (03n04) ◽  
pp. 1950011 ◽  
Author(s):  
C. Aktaş
Keyword(s):  
General Relativity ◽  
Bianchi Type ◽  
Teleparallel Gravity ◽  
Type I ◽  
Universe Model ◽  
Zero Energy ◽  
Bianchi Type I ◽  
Momentum Distributions ◽  
Bianchi Type I Universe

In this study, we obtain Einstein, Bergmann–Thomson (BT), Landau–Lifshitz (LL), Møller, Papapetrou (PP) and Tolman energy–momentum (EM) distributions for Ruban universe model in general relativity (GR) and teleparallel gravity (TG). We obtain same results for Einstein, Bergmann–Thomson and Landau–Lifshitz energy–momentum distributions in GR and TG. Also, we get same results for Einstein and Tolman energy–momentum distributions in GR. The Møller energy–momentum results are different in GR and TG. Also, using Ruban universe model, we obtain LRS Bianchi type I solutions and we get zero energy–momentum results for this universe model in GR and TG. These results of LRS Bianchi type I universe model agree with Aygün et al., Taşer et al., Doğru et al., Banerjee–Sen, Tryon and Xulu in different gravitation theories.

scholarly journals Higher Dimensional Bianchi Type-I Cosmological Models With Massive String in General Relativity

2021 ◽  
Vol 8 ◽  
Author(s):  
Kangujam Priyokumar Singh ◽  
Jiten Baro ◽  
Asem Jotin Meitei
Keyword(s):  
General Relativity ◽  
Bianchi Type ◽  
Early Stage ◽  
Dimensional Space ◽  
Space Time ◽  
Cosmological Models ◽  
Type I ◽  
Bianchi Type I ◽  
Geometrical Properties ◽  
Dimensional Space Time

Here we studied Bianchi type-I cosmological models with massive strings in general relativity in five dimensional space time. Out of the two different cases obtained here, one case leads to a five dimensional Bianchi type-I string cosmological model in general relativity while the other yields the vacuum Universe in general relativity in five dimensional space time. The physical and geometrical properties of the model Universe are studied and compared with the present day’s observational findings. It is observed that our model is anisotropic, expanding, shearing, and decelerates at an early stage and then accelerates at a later time. The model expands along x, y, and z axes and the extra dimension contracts and becomes unobservable at t → ∞. We also observed that the sum of the energy density (ρ) and the string tension density (λ) vanishes (ρ + λ = 0).

Bianchi type VI0 cosmology with purely magnetic and purely electric space time

2014 ◽  
Vol 11 (05) ◽  
pp. 1450043 ◽  
Author(s):  
Rajesh Kumar ◽  
S. K. Srivastava
Keyword(s):  
General Relativity ◽  
Cosmological Model ◽  
Bianchi Type ◽  
Space Time ◽  
Classical Electromagnetism ◽  
Geometrical Properties ◽  
New Class ◽  
Electric And Magnetic Fields ◽  
Electric Space ◽  
Bianchi Type Vi0

In General Relativity, the electric (Eαβ) and magnetic (Hαβ) parts of Weyl tensor are the gravitational quantities that play an analogous role to the electric and magnetic fields in classical electromagnetism. The present study deals with Bianchi type VI0 cosmological model with purely magnetic (PM) and purely electric (PE) space time. Conditions of PM (PE) solutions satisfy Eαβ = 0, Hαβ ≠ 0 (Hαβ = 0, Eαβ≠ 0). We present a new class of cosmological model with PM and PE solutions when the source of gravitation is perfectly fluid. Some physical and geometrical properties of the models are also discussed.

Dirac Spin and Angular Momentum of the Stationary Axisymmetric Space-Time in the Teleparallel Gravity

2020 ◽  
Author(s):  
M F Mourad
Keyword(s):  
General Relativity ◽  
Angular Momentum ◽  
Axial Vector ◽  
Teleparallel Gravity ◽  
Space Time ◽  
Special Cases ◽  
Vector Part ◽  
Dirac Spin

In the framework of teleparallel equivalent to general relativity, the stationary axisymmetric space-time in the teleparallel gravity for two different sets of tetrad fields have been investigated. For these sets, we have obtained the expressions for the torsion vector, torsion axial-vector and the angular momentum of the solution. We found that the obtained expressions of the torsion axial-vector and the angular momentum are, in general quite different in both two sets of tetrad fields, while the expressions for the torsion vector have the same value. Moreover, the vector part connected with Dirac spin has been evaluated as well. Finally, special cases of the stationary axisymmetric space-time are discussed.

Bianchi type-V perfect fluid space-time models in general relativity

2008 ◽  
Vol 315 (1-4) ◽  
pp. 181-189 ◽  
Author(s):  
C. P. Singh ◽  
Shri Ram ◽  
Mohd. Zeyauddin
Keyword(s):  
General Relativity ◽  
Perfect Fluid ◽  
Bianchi Type ◽  
Space Time ◽  
Type V ◽  
Bianchi Type V
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