Behavior of Bianchi type I spacetime by path integral approach in LQC

2012 ◽  
Vol 85 (12) ◽  
Author(s):  
Kazuya Fujio ◽  
Toshifumi Futamase
Keyword(s):  
Path Integral ◽  
Bianchi Type ◽  
Integral Approach ◽  
Type I ◽  
Bianchi Type I ◽  
Path Integral Approach

Path-integral quantum cosmology. I. Vacuum Bianchi type I

1985 ◽  
Vol 32 (10) ◽  
pp. 2477-2484 ◽  
Author(s):  
Beverly K. Berger ◽  
Craig N. Vogeli
Keyword(s):  
Path Integral ◽  
Quantum Cosmology ◽  
Bianchi Type ◽  
Type I ◽  
Bianchi Type I ◽  
Integral Quantum

scholarly journals THE WAVE FUNCTION OF THE UNIVERSE BY THE NEW EUCLIDEAN PATH-INTEGRAL APPROACH IN QUANTUM COSMOLOGY

1993 ◽  
Vol 02 (02) ◽  
pp. 249-256 ◽  
Author(s):  
ATUSHI ISHIKAWA ◽  
HARUHIKO UEDA
Keyword(s):  
Wave Function ◽  
Path Integral ◽  
Regularization Method ◽  
Positive Definite ◽  
Integral Approach ◽  
Type I ◽  
Path Integral Approach ◽  
The Universe ◽  
Friedmann Robertson Walker ◽  
Hilbert Action

The wave function of the universe is evaluated by using the Euclidean path integral approach. As is well known, the real Euclidean path integral diverges because the Einstein-Hilbert action is not positive definite. In order to obtain a finite wave function, we propose a new regularization method and calculate the wave function of the Friedmann-Robertson-Walker type minisuperspace model. We then consider a homogeneous but anisotropic type minisuperspace model, which is known as the Bianch type I model. The physical meaning of the wave function by this new regularization method is also examined.

Stability of LRS Bianchi type-I cosmological models in f(R, T)-gravity

2019 ◽  
Vol 19 (4) ◽  
pp. 055 ◽  
Author(s):  
Umesh Kumar Sharma ◽  
Rashid Zia ◽  
Anirudh Pradhan ◽  
Aroon Beesham
Keyword(s):  
Bianchi Type ◽  
Cosmological Models ◽  
Type I ◽  
Bianchi Type I

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.

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