Viscous dark matter growth in (neo-)Newtonian cosmology

Abstract

We assume cold dark matter to possess a small bulk-viscous pressure which typically attenuates the growth of inhomogeneities. Explicit calculations, based on Eckart's theory of dissipative processes, reveal that for viscous cold dark matter the usual Newtonian approximation for perturbation scales smaller than the Hubble scale is no longer valid. We advocate the use of a neo-Newtonian approach which consistently incorporates pressure effects into the fluid dynamics and correctly reproduces the general relativistic dynamics. This result is of interest for numerical simulations of nonlinear structure formation involving nonstandard dark-matter fluids. We obtain upper limits on the magnitude of the viscous pressure by requiring that relevant perturbation amplitudes should grow sufficiently to enter the nonlinear stage.

arXiv comment11 pages, 4 figures

References in corpus (28)

• The Structure of Cold Dark Matter Halos
• Efficient Computation of CMB anisotropies in closed FRW models
• Dark Matter Substructure in Galactic Halos
• Where are the missing galactic satellites?
• The Core-Cusp Problem
• A constant dark matter halo surface density in galaxies
• Cosmic anti-friction and accelerated expansion
• The first WIMPy halos
• New Dark Matter Physics: Clues from Halo Structure
• A new framework for analyzing the effects of small scale inhomogeneities in cosmology
• Connection between Newtonian simulations and general relativity
• On the Newtonian Cosmology Equations with Pressure
• Newtonian and Relativistic Cosmologies
• Viscous dark fluid universe
• Dissipation of dark matter
• Combining rotation curves and gravitational lensing: How to measure the equation of state of dark matter in the galactic halo
• Cosmological bounds on the equation of state of dark matter
• Constraints on dissipative unified dark matter
• Modelling galaxy halos using dark matter with pressure
• Non-adiabatic dark fluid cosmology
• Measuring the dark matter equation of state
• Newtonian versus relativistic cosmology
• Dark matter phase space densities
• On the dangers of using the growth equation on large scales in the Newtonian gauge
• Comments on "Modeling Galaxy Halos Using Dark Matter with Pressure"
• Could pressureless dark matter have pressure?
• The Jeans Instability in Presence of Viscous Effects
• The exact analytical solution of the linear structure growth rate in LCDM cosmology and its cosmological applications

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• Assessing the impact of bulk and shear viscosities on large scale structure formation
• Nonlinear bulk viscosity and the stability of accelerated expansion in FRW spacetime
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• Viscous Coupled Fluids in Inflationary Cosmology
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• Thin-Shell Wormholes in Neo-Newtonian Theory
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• Lightening the Dark Matter from its Viscosity and Explanation of EDGES Anomaly
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• Generation of CMB and Cosmological constant via bulk viscosity
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