We introduce a bilinear form for Weyl scalar perturbations of Kerr. The form is symmetric and
conserved, and we show that, when combined with a suitable renormalization prescription …

We prove the linear stability of slowly rotating Kerr black holes as solutions of the Einstein
vacuum equations: linearized perturbations of a Kerr metric decay at an inverse polynomial …

We develop a formalism to treat higher order (nonlinear) metric perturbations of the Kerr
spacetime in a Teukolsky framework. We first show that solutions to the linearized Einstein …

In this paper, the gauge choices in general spherically symmetric spacetimes are explored.
In particular, we construct the gauge invariant variables and the master equations for both …

The scheduled launch of the LISA Mission in the next decade has called attention to the
gravitational self-force problem. Despite an extensive body of theoretical work, long-time …

Metric reconstruction is the general problem of parameterizing GR in terms of its two “true
degrees of freedom”, eg, by a complex scalar “potential”—in practice mostly with the aim of …

Electromagnetic and gravitational perturbations on Kerr spacetime can be reconstructed
from solutions to the Teukolsky equations. We study the canonical quantization of solutions …

Based on operator identities and their formal adjoints, we derive two symmetry operators for
the linearized Einstein operator on vacuum backgrounds of Petrov type D and, in particular …

In this paper, we study the canonical energy associated with solutions to the linearised
vacuum Einstein equation on a stationary spacetime. The main result of this paper …

We construct retarded and advanced Green's functions for gravitational perturbations in Kerr
in an ingoing radiation gauge. Our Green's functions have a frequency domain piece that …