• Publications
  • Influence
The mass of asymptotically hyperbolic Riemannian manifolds
We present a set of global invariants, called mass integrals, which can be defined for a large class of asymptotically hyperbolic Riemannian manifolds. When the boundary at infinity has sphericalExpand
  • 192
  • 21
  • PDF
On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einstein's field equations
The regularity of the solutions to the Yamabe Problem is considered in the case of conformally compact manifolds and negative scalar curvature. The existence of smooth hyperboloidal initial data forExpand
  • 166
  • 18
  • PDF
On Lorentzian causality with continuous metrics
We present a systematic study of causality theory on Lorentzian manifolds with continuous metrics. Examples are given which show that some standard facts in smooth Lorentzian geometry, such asExpand
  • 56
  • 16
  • PDF
On space-times with U(1) × U(1) symmetric compact Cauchy surfaces
Abstract General space-times evolving from U (1) × U (1) symmetric Cauchy data prescribed on compact Cauchy surfaces are studied. Existence and properties of solutions of the constraint equations areExpand
  • 119
  • 10
On mapping properties of the general relativistic constraints operator in weighted function spaces
Generalising an analysis of Corvino and Schoen, we study surjectivity properties of the constraint map in general relativity in a large class of weighted Sobolev spaces. As a corollary we proveExpand
  • 147
  • 8
  • PDF
KIDs are Non-Generic
Abstract.We prove that the space-time developments of generic solutions of the vacuum constraint Einstein equations do not possess any global or local Killing vectors, when Cauchy data are prescribedExpand
  • 69
  • 8
  • PDF
Boundary conditions at spatial infinity from a Hamiltonian point of view
We show that the ADM mass and momentum are geometric invariants of asymptotically flat initial data sets
  • 87
  • 7
  • PDF
Rigid upper bounds for the angular momentum and centre of mass
We prove upper bounds on angular momentum and centre of mass in terms of the Hamiltonian mass and cosmological constant for non-singular asymptotically anti-de Sitter initial data sets on spinExpand
  • 38
  • 7
  • PDF
Horizons Non-Differentiable on a Dense Set
Abstract:It is folklore knowledge amongst general relativists that horizons are well behaved, continuously differentiable hypersurfaces except perhaps on a negligible subset one needs not to botherExpand
  • 38
  • 7
...
1
2
3
4
5
...