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Future stability of the FLRW fluid solutions in the presence of a positive cosmological constant
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abstract
We introduce a new method for establishing the future non-linear stability of perturbations of FLRW solutions to the Einstein-Euler equations with a positive cosmological constant and a linear equation of state of the form $p = K \rho$. The method is based on a conformal transformation of the Einstein-Euler equations that compactifies the time domain and can handle the equation of state parameter values $0<K\leq 1/3$ in a uniform manner. It also determines the asymptotic behavior of the perturbed solutions in the far future.
Forward citations
Cited by 2 Pith papers
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Stability of fluids in spacetimes with decelerated expansion
Quiet barotropic fluids are nonlinearly stable on decelerating FLRW spacetimes exactly for K < 1 - 2/(3α), with dust and radiation shown to shock for α ≤ 1/2 and α ≤ 1, respectively.
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Instability of Slowly Expanding FLRW Spacetimes
Numerical simulations of Gowdy-symmetric perturbations of decelerated FLRW Einstein-Euler solutions indicate finite-time shock formation for every linear equation of state p=K rho with 0<=K<=1.
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