General relativistic density perturbations

Abstract

We investigate a general relativistic mechanism in which spikes generate matter overdensities in the early universe. When the cosmological fluid is tilted, the tilt provides another mechanism in generating matter inhomogeneities. We numerically investigate the effect of a sign change in the tilt, when there is a spike but the tilt does not change sign, and when the spike and the sign change in the tilt coincide. We find that the tilt plays the primary role in generating matter inhomogeneities, and it does so by creating both local overdensities and underdensities. We discuss of the physical implications of the work.

18 pages, 10 figures

References in corpus (10)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• Planck 2013 results. XXV. Searches for cosmic strings and other topological defects
• A structure in the early universe at z ~ 1.3 that exceeds the homogeneity scale of the R-W concordance cosmology
• What is dust? - Physical foundations of the averaging problem in cosmology
• The distance to the Fornax Dwarf Spheroidal Galaxy
• Spikes in the Mixmaster regime of G_2 cosmologies
• Chasing the non-linear evolution of matter power spectrum with numerical resummation method: solution of closure equations
• New explicit spike solution -- non-local component of the generalized Mixmaster attractor
• Generating matter inhomogeneities in general relativity
• The electromagnetic spike solutions

Cited by in corpus (8)

• Inhomogeneous cosmology and backreaction: Current status and future prospects
• Spikes and matter inhomogeneities in massless scalar field models
• Mathematical General Relativity
• Past instability of FLRW solutions of the Einstein-Euler-scalar field equations for linear equations of state $p=K\rho$ with $0\le K<1/3$
• Generating spiky solutions of Einstein field equations with the Stephani transformation
• Hunting for gravitational quantum spikes
• Cylindrical spikes
• Mixmaster Fluids Near the Big Bang