Numerical methods for finding stationary gravitational solutions
The wide applications of higher dimensional gravity and gauge/gravity duality have fuelled
the search for new stationary solutions of the Einstein equation (possibly coupled to matter) …
the search for new stationary solutions of the Einstein equation (possibly coupled to matter) …
Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov)
A Vasy - Inventiones mathematicae, 2013 - Springer
In this paper we develop a general, systematic, microlocal framework for the Fredholm
analysis of non-elliptic problems, including high energy (or semiclassical) estimates, which …
analysis of non-elliptic problems, including high energy (or semiclassical) estimates, which …
A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds
M Dafermos, I Rodnianski - Inventiones mathematicae, 2011 - Springer
We consider Kerr spacetimes with parameters a and M such that| a|≪ M, Kerr-Newman
spacetimes with parameters| Q|≪ M,| a|≪ M, and more generally, stationary axisymmetric …
spacetimes with parameters| Q|≪ M,| a|≪ M, and more generally, stationary axisymmetric …
Decay Properties of Klein‐Gordon Fields on Kerr‐AdS Spacetimes
G Holzegel, J Smulevici - Communications on Pure and …, 2013 - Wiley Online Library
This paper investigates the decay properties of solutions to the massive linear wave
equation for g being the metric of a Kerr‐AdS spacetime satisfying satisfying the …
equation for g being the metric of a Kerr‐AdS spacetime satisfying satisfying the …
Recent progress on the fractional Laplacian in conformal geometry
M del Mar González - arxiv preprint arxiv:1609.08988, 2016 - degruyter.com
The aim of this paper is to report on recent development on the conformal fractional
Laplacian, both from the analytic and geometric points of view, but especially towards the …
Laplacian, both from the analytic and geometric points of view, but especially towards the …
A proof of the instability of AdS for the Einstein--massless Vlasov system
G Moschidis - arxiv preprint arxiv:1812.04268, 2018 - arxiv.org
In recent years, the AdS instability conjecture, put forward by Dafermos-Holzegel in 2006,
has attracted a substantial amount of numerical and heuristic studies. Following the …
has attracted a substantial amount of numerical and heuristic studies. Following the …
Semilinear wave equations on asymptotically de Sitter, Kerr–de Sitter and Minkowski spacetimes
We show the small data solvability of suitable semilinear wave and Klein–Gordon equations
on geometric classes of spaces, which include so-called asymptotically de Sitter and Kerr …
on geometric classes of spaces, which include so-called asymptotically de Sitter and Kerr …
Hadamard states for a scalar field in anti–de Sitter spacetime with arbitrary boundary conditions
We consider a real, massive scalar field on PAdS d+ 1, the Poincaré domain of the (d+ 1)-
dimensional anti–de Sitter (AdS) spacetime. We first determine all admissible boundary …
dimensional anti–de Sitter (AdS) spacetime. We first determine all admissible boundary …
Quasimodes and a lower bound on the uniform energy decay rate for Kerr–AdS spacetimes
G Holzegel, J Smulevici - Analysis & PDE, 2014 - msp.org
We construct quasimodes for the Klein–Gordon equation on the black hole exterior of Kerr–
AdS (anti-de Sitter) spacetimes. Such quasimodes are associated with time-periodic …
AdS (anti-de Sitter) spacetimes. Such quasimodes are associated with time-periodic …
The massive wave equation in asymptotically AdS spacetimes
CM Warnick - Communications in Mathematical Physics, 2013 - Springer
We consider the massive wave equation on asymptotically AdS spaces. We show that the
timelike F behaves like a finite timelike boundary, on which one may impose the equivalent …
timelike F behaves like a finite timelike boundary, on which one may impose the equivalent …