Solutions of LRS Bianchi I space-time filled with a perfect fluid

1994 ◽  
Vol 26 (3) ◽  
pp. 307-310 ◽  
Author(s):  
Ashish Mazumder
Keyword(s):  
Perfect Fluid ◽  
Space Time ◽  
Bianchi I

scholarly journals (Non)commutative Isotropization in Bianchi I with Barotropic Perfect Fluid and Λ Cosmological

2007 ◽  
Vol 47 (5) ◽  
pp. 1240-1251 ◽  
Author(s):  
C. Ortiz ◽  
E. Mena ◽  
M. Sabido ◽  
J. Socorro
Keyword(s):  
Perfect Fluid ◽  
Bianchi I

INFLATIONARY SCENARIO IN BRANS–DICKE THEORY FOR BIANCHI VI0 SPACE–TIME MODEL

2003 ◽  
Vol 12 (01) ◽  
pp. 129-143 ◽  
Author(s):  
SUBENOY CHAKRABORTY ◽  
ARABINDA GHOSH
Keyword(s):  
Equation Of State ◽  
Perfect Fluid ◽  
Analytical Solutions ◽  
Fluid Model ◽  
Space Time ◽  
Time Model ◽  
Exact Analytical Solutions ◽  
Exponential Expansion ◽  
Barotropic Equation ◽  
Space Time Model

We have investigated perfect fluid model in Brans–Dicke theory for Bianchi VI 0 space–time and have obtained exact analytical solutions considering barotropic equation of state. These solutions have been analyzed for different values of the parameters involved and some of them have shown a period of exponential expansion.

Bianchi-I cosmology within f(T): Reconstruction method and dynamical study

2020 ◽  
Vol 18 (01) ◽  
pp. 2150012
Author(s):  
C. Ainamon ◽  
M. G. Ganiou ◽  
H. F. Abadji ◽  
M. J. S. Houndjo
Keyword(s):  
Space Time ◽  
Anisotropic Fluid ◽  
Anisotropic Universe ◽  
Reconstruction Method ◽  
Dynamical Study ◽  
Bianchi I ◽  
Dynamical Behaviors ◽  
Modified Gravity Theories ◽  
Universe Evolution ◽  
Autonomous Dynamical System

This paper is fundamentally devoted to the cosmological reconstruction and dynamic studying in homogeneous BIANCHI-I space-time under the [Formula: see text] background. Its content is supported by the fact that in the General Relativity description of the standard cosmological paradigm, the evolution from an anisotropic universe into an Friedmann–Lemaitre–Robertson–Walker (FLRW) one can be achieved by a period of inflationary expansion. Nowadays, modified gravity theories like [Formula: see text] are widely accepted to provide a real description of some universe evolution phases like inflation era, matter-dominated era, etc. So, we aim to examine here what [Formula: see text] gravity model can accommodate with an anisotropic universe, an expanding universe and even the transition between both evolutions. To reach this goal, we use a reconstruction method based on dynamic equations in Bianchi-I space-time by assuming a particular form for the metric anisotropy and by specifying some time functions describing average scale factor. Most of the obtained models are consistent with certain known results in the literature but other add new results in this work. In the second part of this work, the dynamical behaviors of the Bianchi-I space-time are addressed through the reconstruction of an autonomous dynamical system. For an aleatory choice of anisotropic fluid, the numerical analysis of the system shows that the metric anisotropy decreases with expansion. Then, an attractor point is reached and becomes unstable by the end of inflation. Such interesting properties found in this work on Bianchi-I space-time are often interpreted as graceful exit from inflation which doesn’t occur in ordinary FLRW space-time.

Static perfect fluid space-time on compact manifolds

2019 ◽  
Vol 37 (1) ◽  
pp. 015003 ◽  
Author(s):  
F Coutinho ◽  
R Diógenes ◽  
B Leandro ◽  
E Ribeiro
Keyword(s):  
Perfect Fluid ◽  
Space Time ◽  
Compact Manifolds

A note on generalized Robertson–Walker space-times

2016 ◽  
Vol 13 (06) ◽  
pp. 1650079 ◽  
Author(s):  
Carlo Alberto Mantica ◽  
Young Jin Suh ◽  
Uday Chand De
Keyword(s):  
Vector Field ◽  
Scalar Field ◽  
Perfect Fluid ◽  
Curvature Tensor ◽  
Weyl Tensor ◽  
Space Time ◽  
Stiff Matter ◽  
Conformal Curvature ◽  
Conformal Curvature Tensor ◽  
Mass Less Scalar Field

A generalized Robertson–Walker (GRW) space-time is the generalization of the classical Robertson–Walker space-time. In the present paper, we show that a Ricci simple manifold with vanishing divergence of the conformal curvature tensor admits a proper concircular vector field and it is necessarily a GRW space-time. Further, we show that a stiff matter perfect fluid space-time or a mass-less scalar field with time-like gradient and with divergence-free Weyl tensor are GRW space-times.

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