Large-scale peculiar velocity fields: Newtonian vs relativistic treatment
arXiv:2003.01186 · doi:10.1007/s10509-020-03912-4
Abstract
We employ a perturbative analysis to study the evolution of large-scale peculiar velocity fields within the framework of Newtonian gravity and then compare our results to those of the corresponding relativistic treatment. In so doing, we use the same mathematical formalism and apply the same physical approach. This facilitates a direct and transparent comparison between the two treatments. Our study recovers and extends the familiar Newtonian results on the one hand, while on the other it shows that the Newtonian analysis leads to substantially weaker growth-rates for the peculiar velocity field, compared to the relativistic approach. This implies that, by using Newton's rather than Einstein's theory, one could seriously underestimate the overall kinematic evolution of cosmological peculiar motions. We are also in the position to identify the reason the two theories arrive at such considerably different results and conclusions.
arXiv commentTypos corrected. Published version
References in corpus (12)
- Consistently Large Cosmic Flows on Scales of 100 Mpc/h: a Challenge for the Standard LCDM Cosmology
- Relativistic cosmology and large-scale structure
- Cosmic flows in the nearby universe from Type Ia Supernovae
- Probing the anisotropic local universe and beyond with SNe Ia data
- The cosmological bulk flow: consistency with CDM and constraints on and
- Covariant velocity and density perturbations in quasi-Newtonian cosmologies
- An estimation of local bulk flow with the maximum-likelihood method
- A relativistic approach to nonlinear peculiar velocities and the Zeldovich approximation
- The deceleration parameter in `tilted' Friedmann universes
- General relativistic analysis of peculiar velocities
- Relativistic approach to the kinematics of large-scale peculiar motions
- Newtonian nonlinear hydrodynamics and magnetohydrodynamics