Cosmological Density Perturbations in Newtonian- and MONDian Gravity Scenario: A Symmetry-Based Approach

Foundations of Physics 49 (1):63-82 (2019)
Abstract
We investigate the evolution of linear density contrasts obtained with respect to a homogeneous spatially flat Friedman-Lemaître–Robertson–Walker background by solving the density contrast equations governed by Newtonian and MONDian force laws using symmetry-based approach. We find eight-parameter Lie group symmetries for the linear order density perturbation equation for the Newtonian case whereas the density contrast equation follows only one parameter Lie group symmetry in MONDian case. We use Lie symmetries to find the group invariant solutions from invariant curve condition. The physical features of the evolution for various mode of density contrast with respect to the global cosmic background density in homogeneous isotropic cosmological models have been investigated using analytical group invariant solutions along with their numerical solutions. An account for cosmological density contrast and mass fluctuation also have been provided. We also have shown that the MONDian force law generates higher amplitudes in the density fluctuation, results in a more rapid structure formation that cannot be possible under the Newtonian force law.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/s10701-018-00233-z
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 38,035
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Astronomy and Cosmogony.J. H. Jeans - 1928 - Journal of Philosophical Studies 3 (12):533-535.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Inflationary Cosmology and the Scale-Invariant Spectrum.Gordon McCabe - 2018 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 63:39-49.
More Problems for Newtonian Cosmology.David Wallace - 2017 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 57:35-40.
The Density Matrix in the de Broglie--Bohm Approach.O. J. E. Maroney - 2005 - Foundations of Physics 35 (3):493-510.
Newtonian Spacetime Structure in Light of the Equivalence Principle.Eleanor Knox - 2014 - British Journal for the Philosophy of Science 65 (4):863-880.

Analytics

Added to PP index
2019-01-18

Total views
3 ( #898,110 of 2,312,700 )

Recent downloads (6 months)
3 ( #236,511 of 2,312,700 )

How can I increase my downloads?

Monthly downloads

My notes

Sign in to use this feature