Decay for solutions of the wave equation on Kerr exterior spacetimes III: The full subextremal case| a|< M
M Dafermos, I Rodnianski… - Annals of mathematics, 2016 - JSTOR
This paper concludes the series begun in [M. Dafermos and I. Rodnianski, Decay for
solutions of the wave equation on Kerr exterior spacetimes I–II: the cases| a|≪ M or …
solutions of the wave equation on Kerr exterior spacetimes I–II: the cases| a|≪ M or …
Wave equations estimates and the nonlinear stability of slowly rotating Kerr black holes
This is the last part of our proof of the nonlinear stability of the Kerr family for small angular
momentum, ie $| a|/m\ll 1$, in which we deal with the nonlinear wave type estimates needed …
momentum, ie $| a|/m\ll 1$, in which we deal with the nonlinear wave type estimates needed …
Lectures on black holes and linear waves
M Dafermos, I Rodnianski - Clay Math. Proc, 2013 - books.google.com
These lecture notes, based on a course given at the Zürich Clay Summer School (June 23–
July 18 2008), review our current mathematical understanding of the global behaviour of …
July 18 2008), review our current mathematical understanding of the global behaviour of …
A sharp version of Price's law for wave decay on asymptotically flat spacetimes
P Hintz - Communications in Mathematical Physics, 2022 - Springer
We prove Price's law with an explicit leading order term for solutions ϕ (t, x) of the scalar
wave equation on a class of stationary asymptotically flat (3+ 1)-dimensional spacetimes …
wave equation on a class of stationary asymptotically flat (3+ 1)-dimensional spacetimes …
The red‐shift effect and radiation decay on black hole spacetimes
M Dafermos, I Rodnianski - … : A Journal Issued by the Courant …, 2009 - Wiley Online Library
We consider solutions to the linear wave equation□ gϕ= 0 on a (maximally extended)
Schwarzschild spacetime with parameter M> 0, evolving from sufficiently regular initial data …
Schwarzschild spacetime with parameter M> 0, evolving from sufficiently regular initial data …
Stability and instability of extreme Reissner-Nordström black hole spacetimes for linear scalar perturbations I
S Aretakis - Communications in mathematical physics, 2011 - Springer
We study the problem of stability and instability of extreme Reissner-Nordström spacetimes
for linear scalar perturbations. Specifically, we consider solutions to the linear wave …
for linear scalar perturbations. Specifically, we consider solutions to the linear wave …
Boundedness and Decay for the Teukolsky Equation on Kerr Spacetimes I: The Case
M Dafermos, G Holzegel, I Rodnianski - Annals of PDE, 2019 - Springer
We prove boundedness and polynomial decay statements for solutions of the spin ±\, 2±2
Teukolsky equation on a Kerr exterior background with parameters satisfying| a| ≪ M| a|≪ …
Teukolsky equation on a Kerr exterior background with parameters satisfying| a| ≪ M| a|≪ …
A local energy estimate on Kerr black hole backgrounds
We study dispersive properties for the wave equation in the Kerr space–time with small
angular momentum. The main result of this paper is to establish uniform energy bounds and …
angular momentum. The main result of this paper is to establish uniform energy bounds and …
Local decay of waves on asymptotically flat stationary space-times
D Tataru - American Journal of Mathematics, 2013 - muse.jhu.edu
In this article we study the pointwise decay properties of solutions to the wave equation on a
class of stationary asymptotically flat backgrounds in three space dimensions. Under the …
class of stationary asymptotically flat backgrounds in three space dimensions. Under the …
[HTML][HTML] Price's law on nonstationary space–times
In this article, we study the pointwise decay properties of solutions to the wave equation on a
class of nonstationary asymptotically flat backgrounds in three space dimensions. Under the …
class of nonstationary asymptotically flat backgrounds in three space dimensions. Under the …