scholarly journals Inflationary Scenario in Spatially Homogeneous Bianchi Type IX Space-time with Flat Potential in General Relativity

2016 ◽  
Vol 28 (7) ◽  
pp. 361-366 ◽  
Author(s):  
RAJ BALI ◽  
◽  
LAXMI POONIA ◽  
Keyword(s):  
General Relativity ◽  
Bianchi Type ◽  
Space Time ◽  
Inflationary Scenario ◽  
Spatially Homogeneous

scholarly journals Anisotropic magnetized holographic Ricci dark energy cosmological models

2017 ◽  
Vol 95 (4) ◽  
pp. 381-392 ◽  
Author(s):  
M. Vijaya Santhi ◽  
V.U.M. Rao ◽  
Y. Aditya
Keyword(s):  
General Relativity ◽  
Dark Energy ◽  
Deceleration Parameter ◽  
Bianchi Type ◽  
Cosmological Models ◽  
Field Equations ◽  
Ricci Dark Energy ◽  
Theor Phys ◽  
Linearly Varying Deceleration Parameter ◽  
Spatially Homogeneous

In this paper, we have considered spatially homogeneous and anisotropic Bianchi type-III space–time filled with matter and anisotropic modified holographic Ricci dark energy in general relativity. We have solved Einstein’s field equations using the following possibilities: (i) hybrid expansion law proposed by Akarsu et al. (JCAP, 01, 022 (2014)); (ii) a varying deceleration parameter considered by Mishra et al. (Int. J. Theor. Phys. 52, 2546 (2013)); and (iii) a linearly varying deceleration parameter given by Akarsu and Dereli (Int. J. Theor. Phys. 51, 612 (2012)). We have presented the cosmological models in each of the preceding cases and studied their evolutions. We have also discussed physical and kinematical properties of the models.

scholarly journals Chaotic inflation in spatially homogeneous Bianchi type V space–time

2017 ◽  
Vol 95 (12) ◽  
pp. 1267-1270
Author(s):  
Raj Bali ◽  
P. Kumari
Keyword(s):  
Bianchi Type ◽  
Space Time ◽  
Late Time ◽  
De Sitter ◽  
Spatially Homogeneous ◽  
Inflationary Parameters ◽  
Type V ◽  
The Universe ◽  
Anisotropic Phase ◽  
Bianchi Type V

Chaotic inflationary scenario in spatially homogeneous Bianchi type V space–time following Linde (Phys. Lett. B, 129, 177 (1983). doi: 10.1016/0370-2693(83)90837-7 ) and the condition [Formula: see text] based on theory of super cooling during the cosmological phase transition proposed by Kirzhnits and Linde (Ann. Phys. 101, 195 (1976). doi: 10.1016/0003-4916(76)90279-7 ), is discussed. It has been found that the model represents anisotropic phase of the Universe in general but at late time, it isotropizes. The deceleration parameter q = −1 indicates that the model leads to de Sitter space–time. It is found that inflationary parameters, namely, slow roll parameters, and anisotropic parameters are in excellent agreement with the Planck Collaboration’s 2013 results (Astron. Astrophys. 571, A22 (2014). doi: 10.1051/0004-6361/201321569 ).

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.

scholarly journals Some geometrical aspects of Bianchi type-I space time

2002 ◽  
pp. 79-86
Author(s):  
G. Mohanty ◽  
R.C. Sahu ◽  
P.K. Sahoo
Keyword(s):  
Bianchi Type ◽  
Space Time ◽  
Type I ◽  
Einstein Theory ◽  
Bianchi Type I ◽  
Spatially Homogeneous

A problem of spatially homogeneous Bianchi type-I space-time is investigated in Einstein theory without source of gravitation. Some geometrical natures of the 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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