On the Stability of Cosmological Models

Sen, N. R.

doi:10.1023/a:1018846515974

Cited by 4 publications

(2 citation statements)

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“…However the calculation is not consistent, as commented by Lifshitz, because all regions of greater mass in an infinite static medium will also be collapsing, so the growth rate of the accreting mass relative to the density of the collapsing background is slower than predicted by Jeans' analysis. Non-linear spherically symmetric exact inhomogeneous solutions of general relativity for a dust cloud were investigated by Lemaître in 1933 [38], Tolman in 1934 [12,39], and Sen in 1934 [40]. It is a rather sophisticated exact solution of the Einstein equations, and it was a remarkable feat to derive something like this at that time and engage in analysing it from the point of view of observational cosmology, as Lemaître, Tolman and Sen did.…”

Section: Early Attemptsmentioning

confidence: 99%

Editorial note to: E. Lifshitz, On the gravitational stability of the expanding universe

Ellis

2017

Gen Relativ Gravit

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The major stepsThe dynamics of standard cosmology has two parts: firstly, the dynamics of the background spatially homogeneous and isotropic Friedmann-Lemaître-Robertson-Walker ('FLRW') model; and secondly, the dynamics of inhomogeneous perturbations about that model that lead to structure formation in the expanding universe. Understanding each has taken place in two phases: before inflation theory, and after inflation theory. The 1946 Lifshitz paper reprinted here "On the gravitational stability of the expanding universe" [1,2] was the pioneer paper investigating the development of generic linearised inhomogeneities, and provided the basis for all further developments in this regard.Cosmological models must of course be related to astronomical observations. One can observationally directly test the geometry of the background model, and can observe the structures that form in this model. However additionally, observational studies of large scale structures on the one hand, and of Cosmic Microwave Background Radiation ('CMB') anisotropies on the other, provide strong observational constraints on the background model [3,4].The republication of the original paper can be found in this issue following the editorial note and online via doi:10.1007/s10714-016-2165-8.

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Section: Early Attemptsmentioning

confidence: 99%

Editorial note to: E. Lifshitz, On the gravitational stability of the expanding universe

Ellis

2017

Gen Relativ Gravit

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“…The latter is an exact solution that describes a spherically symmetric condensation or void with arbitrary profiles of mass density and of expansion velocity, and has been useful in cosmological studies. Papers based on this model were published in 1934 by Tolman [56] and Sen [53] that predicted that voids and other structures would have to form in an R-W background. Both these authors proved, using the LTB model, that a zeropressure R-W model is unstable against the formation of voids and condensations; see Ref.…”

Section: Matter and Energy Conditionsmentioning

confidence: 99%

Editorial note to: H. P. Robertson, Relativistic cosmology

Ellis

2012

Gen Relativ Gravit

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Keyword Relativistic cosmology · Line element · Robertson-Walker metric · Stationary and non-stationary universes · Golden Oldie -joined in after the idea of an expanding universe became accepted in 1931, providing a sound theoretical basis for Hubble's observations of the magnitude-redshift relation for galaxies. Robertson's article was written 16 years after the first General Relativistic cosmological model and 11 years after the first expanding universe models 1 All the early papers mentioned here are referenced in Robertson's review article [48]. 2 Milne and Walker made their significant contributions to the foundations of cosmology after Robertson's review article was completed, so are not referenced there.

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