Kaluza-Klein cosmological model in f ( R , T ) $f(R,T)$ gravity with domain walls

2015 ◽  
Vol 359 (2) ◽  
Author(s):  
A. K. Biswal ◽  
K. L. Mahanta ◽  
P. K. Sahoo
Keyword(s):  
Cosmological Model ◽  
Domain Walls ◽  
Kaluza Klein

String Cloud and Domain Walls with Quark Matter in n-Dimensional Kaluza-Klein Cosmological Model

2008 ◽  
Vol 47 (7) ◽  
pp. 2002-2010 ◽  
Author(s):  
K. S. Adhav ◽  
A. S. Nimkar ◽  
M. V. Dawande
Keyword(s):  
Cosmological Model ◽  
Quark Matter ◽  
Domain Walls ◽  
Kaluza Klein

Magnetized Domain Walls Cosmological Model in General Relativity

2009 ◽  
Vol 48 (8) ◽  
pp. 2290-2296
Author(s):  
K. S. Adhav ◽  
V. B. Raut ◽  
R. S. Thakare ◽  
C. B. Kale
Keyword(s):  
General Relativity ◽  
Cosmological Model ◽  
Domain Walls

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

scholarly journals Domain Walls from M-Branes

1997 ◽  
Vol 12 (15) ◽  
pp. 1087-1094 ◽  
Author(s):  
H. Lü ◽  
C. N. Pope
Keyword(s):  
Domain Wall ◽  
Dimensional Reduction ◽  
Domain Walls ◽  
Additional Term ◽  
Cosmological Term ◽  
Domain Wall Solution ◽  
Toroidal Compactifications ◽  
Four Manifolds ◽  
M Theory ◽  
Kaluza Klein

We discuss the vertical dimensional reduction of M-sbranes to domain walls in D=7 and D=4, by dimensional reduction on Ricci-flat four-manifolds and seven-manifolds. In order to interpret the vertically-reduced five-brane as a domain wall solution of a dimensionally-reduced theory in D=7, it is necessary to generalize the usual Kaluza–Klein ansatz, so that the three-form potential in D=11 has an additional term that can generate the necessary cosmological term in D=7. We show how this can be done for general four-manifolds, extending previous results for toroidal compactifications. By contrast, no generalization of the Kaluza–Klein ansatz is necessary for the compactification of M-theory to a D=4 theory that admits the domain-wall solution coming from the membrane in D=11.

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