Future global stability for relativistic perfect fluids with linear equations of state $p=K\rho$ where $1/3<K<1/2$

Abstract

We establish the future stability of nonlinear perturbations of a class of homogeneous solutions to the relativistic Euler equations with a linear equation of state $p=K\rho$ on exponentially expanding FLRW spacetimes for the equation of state parameter values $1/3<K<1/2$.

arXiv commentComments typos corrected; agrees with the published version

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Cited by in corpus (9)

• Stabilizing relativistic fluids on spacetimes with non-accelerated expansion
• Recent developments in mathematical aspects of relativistic fluids
• The Stability of Relativistic Fluids in Linearly Expanding Cosmologies
• On the stability of relativistic perfect fluids with linear equations of state $p=K\rho$ where $1/3<K<1$
• Future dynamics of FLRW for the massless-scalar field system with positive cosmological constant
• Future instability of FLRW fluid solutions for linear equations of state $p=K\rho$ with $1/3<K<1$
• Localized big bang stability for the Einstein-scalar field equations
• Stability of AVTD Behavior within the Polarized $T^2$-symmetric vacuum spacetimes
• Stability of Asymptotic Behavior Within Polarised $T^2$-Symmetric Vacuum Solutions with Cosmological Constant