4 papers
Strong hyperboloidal compactification for the spherical DF-GHG formulation of GR
Christian Peterson, David Hilditch
The use of compactified hyperboloidal coordinates for metric formulations of the Einstein field Equations introduces formally singular terms in the equations of motion whose numeri…
Numerical evolutions of the linearised conformal Einstein field equations in the inversion-Minkowski spacetime
Christian Peterson, Edgar Gasperín, Alex Vañó-Viñuales
Numerical evolutions of a system of equations close to null infinity in the geometric background of the inversion-Minkowski spacetime are performed. The evolved equations correspon…
Spherical Evolution of the Generalized Harmonic Gauge Formulation of General Relativity on Compactified Hyperboloidal Slices
Christian Peterson, Shalabh Gautam, Alex Vañó-Viñuales +1
We report on the successful numerical evolution of the compactified hyperboloidal initial value problem in general relativity using generalized harmonic gauge. We work in spherical…
Massive and Massless Quantum Cosmos
Rudolf Baier, Christian Peterson
The recent analysis of quantum cosmology by S. Gielen [1] is extended by discussing the case of dust (in the flat case). The dependence of the Wheeler-DeWitt equation on the operat…