ar X iv : g r - qc / 0 61 11 44 v 2 6 S ep 2 00 7 N - body Gravity and the Schroedinger Equation

ar X iv : g r - qc / 0 61 11 44 v 1 2 7 N ov 2 00 6 N - body Gravity and the Schroedinger Equation

We consider the problem of the motion of N bodies in a self-gravitating system. We point out that this system can be mapped onto the quantum-mechanical problem of an N-body generalization of the problem of the H + 2 molecular ion in one dimension. We derive a general algorithm for solving this problem, and show how it reduces to known results for the 2-body and 3-body systems.

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 50 51 30 v 2 1 S ep 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. ————————————————————————————

ar X iv : g r - qc / 0 61 10 12 v 1 2 N ov 2 00 6 The Energy of Bianchi Type I and II Universes in Teleparallel Gravity

For certain models, the energy of the universe which includes the energy of both the matter and the gravitational fields is obtained by using the quasilocal energy-momentum in teleparallel gravity. It is shown that in the case of the Bianchi type I and II universes, not only the total energy but also the quasilocal energy-momentum for any region vanishes independently of the three dimen-sionles...

ar X iv : g r - qc / 0 10 10 90 v 2 2 4 Ja n 20 01 ASYMPTOTIC FREEDOM IN CURVATURE - SATURATED GRAVITY

For a spatially flat Friedmann model with line element ds 2 = a 2 [da 2 /B(a) − dx 2 − dy 2 − dz 2 ], the 00-component of the Einstein field equation reads 8πGT 00 = 3/a 2 containing no derivative. For a nonlinear Lagrangian L(R), we obtain a second– order differential equation for B instead of the expected fourth-order equation. We discuss this equation for the curvature-saturated model propos...