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Slowly expanding stable dust spacetimes

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arxiv 2107.00457 v1 pith:WRL6J2FX submitted 2021-07-01 gr-qc math.AP

David Fajman , Maximilian Ofner , Zoe Wyatt This is my paper · ORCID
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keywords futurespacetimeseinstein-dustclassexpandingexpansiongenericmodels
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We establish the future nonlinear stability of a large class of FLRW models as solutions to the Einstein-Dust system. We consider the case of a vanishing cosmological constant, which in particular implies that the expansion rate of the respective models is linear i.e. has zero acceleration. The resulting spacetimes are future globally regular. These solutions constitute the first generic class of future regular Einstein-Dust spacetimes not undergoing accelerated expansion and are thereby the slowest expanding generic family of future complete Einstein-Dust spacetimes currently known.

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  1. Instability of Slowly Expanding FLRW Spacetimes

    gr-qc 2025-02 conditional novelty 6.0 of 10

    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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