ar X iv : g r - qc / 0 11 10 23 v 2 1 3 D ec 2 00 1 Gauge stability of 3 + 1 formulations of General Relativity

ar X iv : g r - qc / 0 51 20 76 v 1 1 3 D ec 2 00 5 Group averaging , positive definiteness and superselection sectors 1

I discuss group averaging as a method for quantising constrained systems whose gauge group is a noncompact Lie group. Focussing on three case studies, I address the convergence of the averaging, possible indefiniteness of the prospective physical inner product and the emergence of superselection sectors.

ar X iv : g r - qc / 0 11 20 12 v 1 7 D ec 2 00 1 RELATIVISTIC GRAVITY WITH A DYNAMICAL PREFERRED FRAME

ar X iv : g r - qc / 0 60 30 48 v 2 3 0 M ay 2 00 6 Rotating star initial data for a constrained scheme in numerical relativity

A new numerical code for computing stationary axisymmetric rapidly rotating stars in general relativity is presented. The formulation is based on a fully constrained-evolution scheme for 3 + 1 numerical relativity using the Dirac gauge and maximal slicing. We use both the polytropic and MIT bag model equations of state to demonstrate that the code can construct rapidly rotating neutron star and...

ar X iv : g r - qc / 0 30 41 06 v 1 2 9 A pr 2 00 3 Gravitation without the equivalence principle

In Einstein's general relativistic description of gravitation, geometry replaces the concept of force. This is possible because of the universal character of free fall and would break down in its absence. On the other hand, the teleparallel version of general relativity is a gauge theory for the translation group and, as such, describes the gravitational interaction by a force similar to the Lo...

ar X iv : g r - qc / 0 11 20 07 v 1 7 D ec 2 00 1 Report on A 5 . Computer Methods

Session A5 on numerical methods contained talks on colliding black holes, critical phenomena, investigation of singularities, and computer algebra .