ar X iv : g r - qc / 0 61 20 14 v 2 8 D ec 2 00 6 Eisenhart ’ s theorem and the causal

ar X iv : g r - qc / 0 61 20 14 v 1 3 D ec 2 00 6 Eisenhart ’ s theorem and the

We give a causal version of Eisenhart's geodesic characterization of Newtonian dynamics. We emphasize the geometric, coordinate independent properties needed to express Eisenhart's theorem in light of modern studies on the Bargmann structures (lightlike dimensional reduction). The construction of the space metric, Coriolis 1-form and scalar potential through which the theorem is formulated is s...

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 / 9 61 20 09 v 1 3 D ec 1 99 6 Signal analysis of gravitational waves

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 .

ar X iv : g r - qc / 0 61 10 19 v 2 1 8 D ec 2 00 6 NIKHEF / 2006 - 008 HIGHER DIMENSIONAL V SI SPACETIMES

We present the explicit metric forms for higher dimensional vanishing scalar invariant (V SI) Lorentzian spacetimes. We note that all of the V SI spacetimes belong to the higher dimensional Kundt class. We determine all of the V SI spacetimes which admit a covariantly constant null vector, and we note that in general in higher dimensions these spacetimes are of Ricci type III and Weyl type III....