Rita Teixeira da Costa University of Cambridge

The Maxwell equations on the full Kerr black hole family

Abstract:

Abstract: We discuss a proof of uniform boundedness and decay statements for solutions to the Maxwell equations on Kerr black holes. The proof is unconditional in the full subextremal |a|<M family, in view of earlier joint work with Yakov Shlapentokh-Rothman. For extremal |a|=M Kerr, it is conditional on a conjecture for the spin ±1 Teukolsky equations motivated by work of Gajic and Casals–Gralla–Zimmerman. This is joint work with Gabriele Benomio (GSSI).