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István Rácz: Hyperboloidal initial data without logarithmic singularities

Time: Tue 2025-06-03 10.00 - 11.00

Location: 3418, Lindstedtsvägen 25

Language: english

Participating: István Rácz, Wigner RCP

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First, we recall results of Andersson and Chruściel claiming that generic asymptotically hyperboloidal initial data sets admit polyhomogeneous expansions, and that only a non-generic subclass of solutions of the conformal constraint equations is free of logarithmic singularities. We also outline an argument which verifies that the existence of well-defined Bondi mass and angular momentum, together with some mild restrictions on the free data, implies that the generic solutions of the parabolic-hyperbolic form of the constraint equations are free of logarithmic singularities.