5 papers
Yvonne Choquet-Bruhat 1923-2025
Lydia Bieri, Jean-Pierre Bourguignon, David Garfinkle +1
This is a memorial article for Yvonne Choquet-Bruhat, who was one of the great pioneers of mathematical general relativity and of partial differential equations. Starting with her…
Asymptotically Euclidean Solutions of the Constraint Equations with Prescribed Asymptotics
Lydia Bieri, David Garfinkle, James Isenberg +2
We demonstrate that in constructing asymptotically flat vacuum initial data sets in General Relativity via the conformal method, certain asymptotic structures may be prescribed a p…
Local singularities of compact multiply warped Ricci flow solutions
James Isenberg, Dan Knopf, Zilu Ma +1
We demonstrate that any four-dimensional shrinking Ricci soliton , where is any two-dimensional complete noncompact surface and $…
Initial Data for First-order Causal Viscous Conformal Fluids in General Relativity
Marcelo M. Disconzi, James Isenberg, David Maxwell
We solve the Einstein constraint equations for a first-order causal viscous relativistic hydrodynamic theory in the case of a conformal fluid. For such a theory, a direct applicati…
Asymptotic behavior of unstable perturbations of the Fubini-Study metric in Ricci flow
David Garfinkle, James Isenberg, Dan Knopf +1
Kröncke has shown that the Fubini-Study metric is an unstable generalized stationary solution of Ricci flow [Krö20]. In this paper, we carry out numerical simulations which indicat…