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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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TL;DR: In this paper, the authors investigated the evolution of scalar fields with arbitrary potential trapped in a Randall-Sundrum's Braneworld of type II and derived sufficient conditions for the asymptotic stability of the de Sitter solution.
Abstract: In this paper we investigate, from the dynamical systems perspective, the evolution of an scalar field with arbitrary potential trapped in a Randall-Sundrum's Braneworld of type II. We consider an homogeneous and isotropic Friedmann-Robertson-Walker (FRW) brane filled also with a perfect fluid. Center Manifold Theory is employed to obtain sufficient conditions for the asymptotic stability of de Sitter solution. We obtain conditions on the potential for the stability of scaling solutions as well for the stability of the scalar-field dominated solution. We prove the there are not late time attractors with 5D-modifications (they are saddle-like). This fact correlates with a transient primordial inflation. In the particular case of a scalar field with potential $V=V_{0}e^{-\chi\phi}+\Lambda$ we prove that for $\chi 0$ the de Sitter solution is unstable (of saddle type).

28 citations

Journal ArticleDOI
TL;DR: The idea that the universe has zero total energy when one includes the contribution from the gravitational field is reconsidered in this article, and a Hamiltonian is proposed as an energy for the exact equations of FRW cosmology.
Abstract: The idea that the universe has zero total energy when one includes the contribution from the gravitational field is reconsidered. A Hamiltonian is proposed as an energy for the exact equations of FRW cosmology: it is then shown that this energy is constant. Thus, open and critically open FRW universes have the energy of their asymptotic state at infinite dilution, which is Minkowski space with zero energy. It is then shown that de Sitter space, the inflationary attractor, also has zero energy, and the argument is generalized to Bianchi models converging to this attractor.

28 citations

Journal ArticleDOI
TL;DR: In this paper, the authors presented the luminosity distance series expansion to third order in redshift for a general space-time with no assumption on the metric tensor or the field equations prescribing it.
Abstract: We present the luminosity distance series expansion to third order in redshift for a general space-time with no assumption on the metric tensor or the field equations prescribing it. It turns out that the coefficients of this general 'Hubble law' can be expressed in terms of a finite number of physically interpretable multipole coefficients. The multipole terms can be combined into effective direction dependent parameters replacing the Hubble constant, deceleration parameter, curvature parameter, and 'jerk' parameter of the Friedmann-Lema\^itre-Robertson-Walker (FLRW) class of metrics. Due to the finite number of multipole coefficients, the exact anisotropic Hubble law is given by 9, 25, 61 degrees of freedom in the $\mathcal{O}(z)$, $\mathcal{O}(z^2)$, $\mathcal{O}(z^3)$ vicinity of the observer respectively, where $z\!:=\,$redshift. This makes possible model independent determination of dynamical degrees of freedom of the cosmic neighbourhood of the observer and direct testing of the FLRW ansatz. We argue that the derived multipole representation of the general Hubble law provides a new framework with broad applications in observational cosmology.

28 citations

Journal ArticleDOI
TL;DR: In this article, the 3 -space of a universe model is defined at a certain simultaneity, and a general formula for the recession velocity is deduced, and also some new transformations to conformally flat-spacetime coordinates.
Abstract: The 3 -space of a universe model is defined at a certain simultaneity. Hence space depends on which time is used. We find a general formula generating all known and also some new transformations to conformally flat-spacetime coordinates. A general formula for the recession velocity is deduced.

28 citations

Journal ArticleDOI
TL;DR: An alternative procedure to construct local supersymmetric quantum cosmological models is presented, performed by introducing a superfield formulation and is applied here to the FRW model, which has the advantage of being more simple than models proposed based on full supergravity.
Abstract: An alternative procedure to construct local supersymmetric quantum cosmological models is presented. This is performed by introducing a superfield formulation and is applied here to the FRW model. It has the advantage of being more simple than models proposed based on full supergravity and gives, by means of this local symmetry procedure, in a direct manner, the corresponding fermionic partners. It also permits the inclusion of matter in a systematic way. \textcopyright{} 1996 The American Physical Society.

28 citations


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