The Friedmann–Lemaître–Robertson–Walker metric (FLRW; /ˈfriːdmən ləˈmɛtrə ... /) is a metric that describes a homogeneous, isotropic, expanding (or otherwise...
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derived by Alexander Friedmann in 1922 from Einstein's field equations of gravitation for the Friedmann–Lemaître–Robertson–Walker metric and a perfect fluid...
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called the Friedmann–Lemaître–Robertson–Walker metric, or FLRW, after Friedmann, Georges Lemaître, Howard P. Robertson and Arthur Geoffrey Walker, who worked...
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In physics, the Lemaître–Tolman metric, also known as the Lemaître–Tolman–Bondi metric or the Tolman metric, is a Lorentzian metric based on an exact...
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Expansion of the universe (redirect from Metric expansion)
cosmology. It can be modeled mathematically with the Friedmann–Lemaître–Robertson–Walker metric (FLRW), where it corresponds to an increase in the scale...
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Hubble–Lemaître law. The lunar crater Lemaître Friedmann–Lemaître–Robertson–Walker metric Lemaître coordinates Lemaître–Tolman metric Hubble–Lemaître law...
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cosmological principle and assumed by all models that use the Friedmann–Lemaître–Robertson–Walker metric, including the current version of the ΛCDM model, or is...
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Raj Pathria, who compared the Schwarzschild metric with the closed Friedmann–Lemaître–Robertson–Walker metric at the maximum scale factor. Subsequent studies...
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wherever you are." This cosmological principle allows a metric, Friedmann–Lemaître–Robertson–Walker metric, to be derived and developed into a theory to compare...
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evolution of the scale factor in the Friedmann–Lemaître–Robertson–Walker metric is obtained solving the Friedmann equations: a ( t ) ∝ t 1 / 2 . {\displaystyle...
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was emitted, we may first note that according to the Friedmann–Lemaître–Robertson–Walker metric, which is used to model the expanding universe, if we...
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cosmological principle and assumed by all models that use the Friedmann–Lemaître–Robertson–Walker metric, including the current version of the ΛCDM model, or is...
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the cosmological principle is correct, is the Friedmann–Lemaître–Robertson–Walker metric the right metric to use for our universe? Are the observations...
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matter) density of a substance and its pressure. In the Friedmann–Lemaître–Robertson–Walker metric, it can be shown that a strong constant negative pressure...
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by Arthur Geoffrey Walker in 1936, and is today widely known in the United States as the Robertson–Walker metric. One of Robertson's landmark papers, a...
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notable metrics are: Alcubierre metric, de Sitter/anti-de Sitter metrics, Friedmann–Lemaître–Robertson–Walker metric, Isotropic coordinates, Lemaître–Tolman...
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computed by the following formula (derived using the Friedmann–Lemaître–Robertson–Walker metric): χ = ∫ t e t c d t ′ a ( t ′ ) {\displaystyle \chi =\int...
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Lemaître: Lemaître (crater), an impact crater on the Moon 1565 Lemaître, a minor planet the Friedmann–Lemaître–Robertson–Walker metric the Lemaître metric...
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equations that describes the universe is the metric tensor called the Friedmann–Lemaître–Robertson–Walker metric, d s 2 = − c 2 d t 2 + R ( t ) 2 ( d r 2...
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constructed by Georges Lemaître and Alexander Friedmann all shared the same general form, the Robertson-Walker metric. They also showed that this was the most...
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{1}{2}}\end{matrix}}\pi ^{2}R^{4}} This is part of the Friedmann–Lemaître–Robertson–Walker metric in General relativity where R is substituted by function...
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without major pitfalls. In practice, some metrics, notably the Friedmann–Lemaître–Robertson–Walker metric that appears to govern the universe, do not...
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\sum _{j=1}^{D-1}p_{j}^{2}={\frac {1}{D-1}}\neq 1.} The Friedmann–Lemaître–Robertson–Walker metric employed in cosmology, by contrast, is able to expand...
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principle, as in the case for all models that use the Friedmann–Lemaître–Robertson–Walker metric, while there are other possible causes of an accelerating...
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Killing tensor (section FLRW metric)
tensors not simply obtained from Killing vectors. The Friedmann–Lemaître–Robertson–Walker metric, widely used in cosmology, has spacelike Killing vectors...
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cosmological constant dark energy dark matter de Sitter space Friedmann–Lemaître–Robertson–Walker metric horizon problem large-scale structure of the cosmos Randall–Sundrum...
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calculated within the context of general relativity, where the Friedmann–Lemaître–Robertson–Walker solution is used to describe the universe. There are a few...
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Borde–Guth–Vilenkin theorem (section For FLRW metric)
space-time with no appeal to homogeneity or isotropy. The Friedmann–Lemaître–Robertson–Walker metric is given by d s = d t 2 − a 2 ( t ) d x i d x i {\displaystyle...
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is often visualized as curved spacetime. The Friedmann–Lemaître–Robertson–Walker metric is a curved metric which forms the current foundation for the description...
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original positive energy theorem. List of spacetimes Friedmann–Lemaître–Robertson–Walker metric Petrov classification, for algebraic symmetries of the...
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