E. Marshall

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20242026

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gr-qc2024

Past instability of FLRW solutions of the Einstein-Euler-scalar field equations for linear equations of state $p = K ρ$ with $0 \leq K < 1/3$

Florian Beyer, Elliot Marshall, Todd A. Oliynyk

Using numerical methods, we examine, under a Gowdy symmetry assumption, the dynamics of nonlinearly perturbed FLRW fluid solutions of the Einstein-Euler-scalar field equations in t…

math.AP2024

Future stability of perfect fluids with extreme tilt and linear equation of state $p = c_{s}^{2} ρ$ for the Einstein-Euler system with positive cosmological constant: The range $\frac{1}{3} < c_{s}^{2} < \frac{3}{7}$

Grigorios Fournodavlos, Elliot Marshall, Todd A. Oliynyk

We study the future stability of cosmological fluids, in spacetimes with an accelerated expansion, which exhibit extreme tilt behavior, ie. their fluid velocity becoming asymptotic…

Past instability of FLRW solutions of the Einstein-Euler-scalar field equations for linear equations of state p=Kρ with 0≤K<1/3

Future stability of perfect fluids with extreme tilt and linear equation of state p=cs2​ρ for the Einstein-Euler system with positive cosmological constant: The range 31​<cs2​<73​

Past instability of FLRW solutions of the Einstein-Euler-scalar field equations for linear equations of state $p = K ρ$ with $0 \leq K < 1/3$

Future stability of perfect fluids with extreme tilt and linear equation of state $p = c_{s}^{2} ρ$ for the Einstein-Euler system with positive cosmological constant: The range $\frac{1}{3} < c_{s}^{2} < \frac{3}{7}$