Homogeneous cosmological model for a Kaluza-Klein-type metric

1986 ◽  
Vol 18 (10) ◽  
pp. 1073-1077 ◽  
Author(s):  
S. Chatterjee
Keyword(s):  
Cosmological Model ◽  
Homogeneous Cosmological Model ◽  
Kaluza Klein

scholarly journals Massive Scalar Field Kaluza-Klein Cosmological Model in Lyra’s Manifold

2021 ◽  
Vol 65 (6) ◽  
pp. 106-110
Author(s):  
P. M. Lambat ◽  
A. M. Pund
Keyword(s):  
Scalar Field ◽  
Cosmological Model ◽  
Massive Scalar ◽  
Massive Scalar Field ◽  
Lyra’S Manifold ◽  
Kaluza Klein

D‐dimensional torus as compact manifold and Kaluza–Klein cosmological model

1992 ◽  
Vol 33 (9) ◽  
pp. 3117-3127 ◽  
Author(s):  
S. K. Srivastava
Keyword(s):  
Cosmological Model ◽  
Compact Manifold ◽  
Dimensional Torus ◽  
Kaluza Klein

An Anisotropic Homogeneous Cosmological Model in a Modified Brans-Dicke Cosmology

2012 ◽  
Vol 51 (10) ◽  
pp. 3311-3317
Author(s):  
Priyanka Rai ◽  
L. N. Rai
Keyword(s):  
Cosmological Model ◽  
Homogeneous Cosmological Model

scholarly journals Kaluza–Klein Bulk Viscous Fluid Cosmological Models and the Validity of the Second Law of Thermodynamics in f(R, T) Gravity

2017 ◽  
Vol 72 (4) ◽  
pp. 365-374 ◽  
Author(s):  
Gauranga Charan Samanta ◽  
Ratbay Myrzakulov ◽  
Parth Shah
Keyword(s):  
Cosmological Model ◽  
Viscous Fluid ◽  
Second Law Of Thermodynamics ◽  
Second Law ◽  
Field Equations ◽  
Geometrical Properties ◽  
Bulk Viscous Fluid ◽  
Bulk Viscous ◽  
Two Stages ◽  
Kaluza Klein

Abstract:The authors considered the bulk viscous fluid in f(R, T) gravity within the framework of Kaluza–Klein space time. The bulk viscous coefficient (ξ) expressed as $\xi = {\xi _0} + {\xi _1}{{\dot a} \over a} + {\xi _2}{{\ddot a} \over {\dot a}},$ where ξ0, ξ1, and ξ2 are positive constants. We take p=(γ−1)ρ, where 0≤γ≤2 as an equation of state for perfect fluid. The exact solutions to the corresponding field equations are given by assuming a particular model of the form of f(R, T)=R+2f(T), where f(T)=λT, λ is constant. We studied the cosmological model in two stages, in first stage: we studied the model with no viscosity, and in second stage: we studied the model involve with viscosity. The cosmological model involve with viscosity is studied by five possible scenarios for bulk viscous fluid coefficient (ξ). The total bulk viscous coefficient seems to be negative, when the bulk viscous coefficient is proportional to ${\xi _2}{{\ddot a} \over {\dot a}},$ hence, the second law of thermodynamics is not valid; however, it is valid with the generalised second law of thermodynamics. The total bulk viscous coefficient seems to be positive, when the bulk viscous coefficient is proportional to $\xi = {\xi _1}{{\dot a} \over a},$$\xi = {\xi _1}{{\dot a} \over a} + {\xi _2}{{\ddot a} \over {\dot a}}$ and $\xi = {\xi _0} + {\xi _1}{{\dot a} \over a} + {\xi _2}{{\ddot a} \over {\dot a}},$ so the second law of thermodynamics and the generalised second law of thermodynamics is satisfied throughout the evolution. We calculate statefinder parameters of the model and observed that it is different from the ∧CDM model. Finally, some physical and geometrical properties of the models are discussed.

Implications of Time Varying Cosmological Constant on Kaluza-Klein Cosmological Model

2013 ◽  
Vol 52 (12) ◽  
pp. 4416-4426 ◽  
Author(s):  
Namrata I. Jain ◽  
S. S. Bhoga ◽  
G. S. Khadekar
Keyword(s):  
Cosmological Model ◽  
Cosmological Constant ◽  
Time Varying ◽  
Kaluza Klein

Hypersurface Homogeneous Cosmological Model in Modified Theory of Gravitation

Astrophysics ◽  
2016 ◽  
Vol 59 (4) ◽  
pp. 525-539 ◽  
Author(s):  
S. D. Katore ◽  
S. P. Hatkar ◽  
R. J. Baxi
Keyword(s):  
Cosmological Model ◽  
Homogeneous Cosmological Model ◽  
Theory Of Gravitation ◽  
Modified Theory

Kaluza-Klein Tilted Cosmological Model in Lyra Geometry

2017 ◽  
Vol 42 (3) ◽  
pp. 1451-1457 ◽  
Author(s):  
Subrata Kumar Sahu ◽  
Samuel Ganiamo Ganebo ◽  
Gebretsadik Gidey Weldemariam
Keyword(s):  
Cosmological Model ◽  
Lyra Geometry ◽  
Tilted Cosmological Model ◽  
Kaluza Klein
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