4 papers
Charged scalar fields on Reissner--Nordström spacetimes I: integrated energy estimates
Dejan Gajic
This is the first part of a series of papers deriving the precise, late-time behaviour and (in)stability properties of charged scalar fields on near-extremal Reissner--Nordström s…
Charged scalar fields on Reissner--Nordström spacetimes II: late-time tails and instabilities
Dejan Gajic
This is the second part of a series of papers deriving the precise, late-time behaviour and (in)stability properties of charged scalar fields on near-extremal Reissner--Nordström…
Linear and nonlinear late-time tails on dynamical black hole spacetimes via time integrals
Dejan Gajic, Lionor Kehrberger
We prove the global leading-order late-time asymptotic behaviour of solutions to inhomogeneous wave equations on dynamical black hole exterior backgrounds that settle down to Schwa…
Late-time asymptotics for geometric wave equations with inverse-square potentials
Dejan Gajic
We introduce a new, physical-space-based method for deriving the precise leading-order late-time behaviour of solutions to geometric wave equations on asymptotically flat spacetime…