On one integrable cosmological model of the flat universe in k-essence

Author(s):  
K.R. Myrzakulov ◽  
D.Zh. Kenzhalin ◽  
T.R. Myrzakul
Universe ◽  
2021 ◽  
Vol 7 (11) ◽  
pp. 445
Author(s):  
Fabao Gao ◽  
Jaume Llibre

When the cosmological constant is non-zero, the dynamics of the cosmological model based on Hořava–Lifshitz gravity in a non-flat universe are characterized by using the qualitative theory of differential equations.


Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan

This chapter provides a few examples of representations of the universe on a large scale—a first step in constructing a cosmological model. It first discusses the Copernican principle, which is an approximation/hypothesis about the matter distribution in the observable universe. The chapter then turns to the cosmological principle—a hypothesis about the geometry of the Riemannian spacetime representing the universe, which is assumed to be foliated by 3-spaces labeled by a cosmic time t which are homogeneous and isotropic, that is, ‘maximally symmetric’. After a discussion on maximally symmetric space, this chapter considers spacetimes with homogenous and isotropic sections. Finally, this chapter discusses Milne and de Sitter spacetimes.


2020 ◽  
Vol 98 (11) ◽  
pp. 1015-1022 ◽  
Author(s):  
Parbati Sahoo ◽  
Barkha Taori ◽  
K.L. Mahanta

We construct a locally rotationally symmetric (LRS) Bianchi type-I cosmological model in f(R, T) theory of gravity when the source of gravitation is a mixture of barotropic fluid and dark energy (DE) by employing a time-varying deceleration parameter. We observe through the behavior of the state finder parameters (r, s) that our model begins from the Einstein static era and goes to ΛCDM era. The equation of state (EOS) parameter (ωd) for DE varies from the phantom (ω < –1) phase to quintessence (ω > –1) phase, which is consistent with observational results. It is found that the discussed model can reproduce the current accelerating phase of the expansion of the universe.


1983 ◽  
Vol 96 (1) ◽  
pp. 95-105 ◽  
Author(s):  
T. Singh ◽  
L. N. Rai ◽  
Tarkeshwar Singh

1990 ◽  
Vol 41 (4) ◽  
pp. 1362-1362 ◽  
Author(s):  
John D. Barrow ◽  
H. Sirousse-Zia

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