This paper is concerned with the study of quasifree states of a linear, scalar quantum field in
globally hyperbolic spacetimes possessing a one-parameter group of isometries with a …

In this book, Robert Wald provides a coherent, pedagogical introduction to the formulation of
quantum field theory in curved spacetime. He begins with a treatment of the ordinary one …

This paper is about two important trends of scattering theory in general relativity: time-
dependent spectral analytic scattering and conformal scattering. The former was initiated by …

Separate differential and integral transformations are introduced for the individual radial and
angular equations governing the (infinitesimally) gauge invariant Newman-Penrose …

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 …

We show how in gravitational collapse the Hawking radiation at large times is precisely
related to a scaling limit on the sphere where the star radius crosses the Schwarzschild …

It was recently shown that the von Neumann algebras of observables dressed to the mass of
a Schwarzschild-AdS black hole or an observer in de Sitter are Type II, and thus admit well …

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|≪ …

Quasinormal modes play a prominent role in the literature when dealing with the
propagation of linearized perturbations of the Schwarzschild geometry. We show that space …

We study the options for boundary conditions at the conical singularity for quantum
mechanics on a two-dimensional cone with deficit angle≦ 2π and for classical and quantum …