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Friedmann–Lemaître–Robertson–Walker metric

About: Friedmann–Lemaître–Robertson–Walker metric is a research topic. Over the lifetime, 4113 publications have been published within this topic receiving 87752 citations. The topic is also known as: FLRW metric.


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Journal ArticleDOI
TL;DR: In this paper, the authors investigate the back reaction of cosmological perturbations on the evolution of the universe using the renormalization group method and derive the evolution equation for the effective scale factor which includes back reaction due to inhomogeneities of the Universe.
Abstract: We investigate the back reaction of cosmological perturbations on the evolution of the Universe using the renormalization group method. Starting from the second order perturbed Einstein's equation, we renormalize a scale factor of the Universe and derive the evolution equation for the effective scale factor which includes back reaction due to inhomogeneities of the Universe. The resulting equation has the same form as the standard Friedman-Robertson-Walker equation with the effective energy density and pressure which represent the back reaction effect.

21 citations

Journal ArticleDOI
Ewa Czuchry1
TL;DR: In this article, a phase space analysis of Ho rava-Lifshitz theory of gravity is presented, which includes a dark radiation term with a negative coecient in the analog of the Friedmann equation.
Abstract: The occurrence of a bounce in FRW cosmology requires modications of general relativity. An example of such a modication is the recently proposed Ho rava-Lifshitz theory of gravity, which includes a \dark radiation" term with a negative coecient in the analog of the Friedmann equation. This letter describes a phase space analysis of models of this sort with the aim of determining to what extent bouncing solutions can occur. It is found that they are is possible, but not generic in models under consideration. Apart from previously known bouncing solutions some new ones are also described. Other interesting solutions found include ones which describe a novel sort of quasi stationary, oscillating universes.

21 citations

Journal ArticleDOI
TL;DR: In this paper, the role of nonlinear spinor field in the evolution of the universe is studied within the scope of the isotropic FRW cosmological model and the utility of spinor description of matter is established.
Abstract: Within the scope of the isotropic FRW cosmological model the role of nonlinear spinor field in the evolution of the Universe is studied. It is found that unlike in anisotropic cosmological models in the present case the spinor field does not possess nontrivial non-diagonal components of energy-momentum tensor, consequently it does not impose any additional restrictions on the components of the spinor field or metric function. The spinor description of different matter was given and the evolution of the Universe corresponding to these sources is illustrated. In the framework of a three-fluid system the utility of spinor description of matter is established.

21 citations

Journal ArticleDOI
TL;DR: In this paper, the authors investigated the dynamics of a flat FRW cosmological model with a barotropic matter and a non-minimally coupled scalar field (both canonical and phantom).
Abstract: We investigate dynamics of a flat FRW cosmological model with a barotropic matter and a non-minimally coupled scalar field (both canonical and phantom). In our approach we do not assume any specific form of a potential function for the scalar field and we are looking for generic scenarios of evolution. We show that dynamics of universe can be reduced to a 3-dimensional dynamical system. We have found the set of fixed points and established their character. These critical points represent all important epochs in evolution of the universe : (a) a finite scale factor singularity, (b) an inflation (rapid-roll and slow-roll), (c) a radiation domination, (d) a matter domination and (e) a quintessence era. We have shown that the inflation, the radiation and matter domination epochs are transient ones and last for a finite amount of time. The existence of the radiation domination epoch is purely the effect of a non-minimal coupling constant. We show the existence of a twister type solution wandering between all these critical points.

21 citations

Journal ArticleDOI
TL;DR: In this paper, the Friedmann-Robertson-Walker (FRW) model was investigated in viable f(R, T) gravity with f(r, t) function proposed as f (R, T ) = R + ξ T 1 / 2, where R is the scalar curvature and T is the trace of stress energy tensor.

21 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023150
2022352
2021196
2020204
2019214
2018191