10.01.2025, 11:00
– Campus Golm, Building 9, Room 2.22 and via Zoom
Arbeitsgruppenseminar Analysis
Exploring quantum fields on rotating black holes
Christiane Klein (York University, UK)
Philip Thonke
The timelike minimal surface equation is a degenerate hyperbolic system describing the motion of a relativistic membrane, or p-brane. Using a harmonic map gauge, Olaf Milbredt has obtained local well-posedness results for the corresponding Cauchy-Problem under suitable geometric assumptions. Much less is known, however, about global well-posedness and stability of a solution with respect to small-data perturbations when the spacetime is not Minkowski-Space. In this talk I shall give an introduction to the theory aswell as a short overview of the existing literature and then present some stability results for the case of a membrane moving in an expanding spacetime that is not necessarily spatially homogenuous.