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Stabilizing relativistic fluids on slowly expanding cosmological spacetimes

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On a background Minkowski spacetime, the relativistic Euler equations are known, for a relatively general equation of state, to admit unstable homogeneous solutions with finite-time shock formation. By contrast, such shock formation can be suppressed on background cosmological spacetimes whose spatial slices expand at an accelerated rate. The critical case of linear, ie zero-accelerated, spatial expansion, is not as well understood. In this talk, I will present two recent works concerning the relativistic Euler and the Einstein-Dust equations for geometries expanding at a linear rate. This is based on joint works with David Fajman, Todd Oliynyk and Max Ofner.

This will be a hybrid seminar; Zoom link information for remote participation is below

Topic: Friday GR Seminar Time: Oct 15, 2021 01:00 PM London

Join Zoom Meeting https://maths-cam-ac-uk.zoom.us/j/97331010435?pwd=c0FWU2hGUVRBd0lrbDNtcFd1c25EQT09

Meeting ID: 973 3101 0435 Passcode: 073244

This talk is part of the DAMTP Friday GR Seminar series.

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