ar X iv : g r - qc / 0 50 31 10 v 1 2 8 M ar 2 00 5 The leader operators of the ( d + 1 ) - dimensional relativistic rotating oscillators

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 40 31 20 v 1 3 1 M ar 2 00 4 LAGRANGIAN AND HAMILTONIAN FOR THE BONDI - SACHS METRICS

We calculate the Hilbert action for the Bondi-Sachs metrics. It yields the Einstein vacuum equations in a closed form. Following the Dirac approach to constrained systems we investigate the related Hamiltonian formulation.

ar X iv : g r - qc / 0 30 30 64 v 1 1 8 M ar 2 00 3 Existence of initial data satisfying the constraints for the spherically symmetric Einstein - Vlasov - Maxwell system

Using ODE techniques we prove the existence of large classes of initial data satisfying the constraints for the spherically symmetric EinsteinVlasov-Maxwell system. These include data for which the ratio of total charge to total mass is arbitrarily large.

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....

ar X iv : g r - qc / 0 50 51 30 v 1 2 6 M ay 2 00 5 An Exact Solution for Static Scalar Fields Coupled to Gravity in ( 2 + 1 ) - Dimensions

We obtain an exact solution for the Einstein’s equations with cosmological constant coupled to a scalar, static particle in static, ”spherically” symmetric background in 2 + 1 dimensions. ————————————————————————————