Generating matter inhomogeneities in general relativity

Abstract

In this Letter we discuss a natural general relativistic mechanism that causes inhomogeneities and hence generates matter perturbations in the early universe. We concentrate on spikes, both incomplete spikes and recurring spikes, that naturally occur in the initial oscillatory regime of general cosmological models. In particular, we explicitly show that spikes occurring in a class of G_2 models lead to inhomogeneities that, due to gravitational instability, leave small residual imprints on matter in the form of matter perturbations. The residual matter overdensities from recurring spikes are not local but form on surfaces. We discuss the potential physical consequences of the residual matter imprints and their possible effect on the subsequent formation of large scale structure.

This is the longer version of the article that appeared in Phys. Rev. Lett. 108, 191101 (2012)

References in corpus (5)

• Oscillatory approach to the singularity in vacuum spacetimes with $T^2$ isometry
• Asymptotic silence of generic cosmological singularities
• Spikes in the Mixmaster regime of G_2 cosmologies
• New explicit spike solution -- non-local component of the generalized Mixmaster attractor
• Phenomenology of the Invisible Universe

Cited by in corpus (16)

• Spike Oscillations
• Inhomogeneous cosmology and backreaction: Current status and future prospects
• Recent developments concerning generic spacelike singularities
• Spikes and matter inhomogeneities in massless scalar field models
• Mathematical General Relativity
• General relativistic density perturbations
• Open problems in mathematical physics
• Stiff fluid spike solutions from Bianchi type V seed solutions
• On the first $G_1$ stiff fluid spike solution in General Relativity
• Past instability of FLRW solutions of the Einstein-Euler-scalar field equations for linear equations of state $p=K\rho$ with $0\le K<1/3$
• Demonstration of the spike phenomenon using the LTB models
• Generating spiky solutions of Einstein field equations with the Stephani transformation
• Cylindrical spikes
• Hunting for gravitational quantum spikes
• The electromagnetic spike solutions
• Mixmaster Fluids Near the Big Bang