ar X iv : g r - qc / 0 60 70 01 v 1 1 J ul 2 00 6 Solution generating theorems for the TOV equation

ar X iv : g r - qc / 9 40 70 01 v 1 4 J ul 1 99 4 Cat States and Single Runs for the Damped Harmonic Oscillator

We discuss the fate of initial states of the cat type for the damped harmonic oscillator, mostly employing a linear version of the stochastic Schrödinger equation. We also comment on how such cat states might be prepared and on the relation of single realizations of the noise to single runs of experiments. Typeset using REVTEX 1

ar X iv : g r - qc / 9 60 70 09 v 1 4 J ul 1 99 6 The Lense – Thirring Effect and Mach ’ s Principle

We respond to a recent paper by Rindler on the " Anti–Machian " nature of the Lense–Thirring effect. We remark that his conclusion depends crucially on the particular formulation of Mach's principle used.

ar X iv : g r - qc / 9 60 70 16 v 1 5 J ul 1 99 6 Exact Solution for Relativistic Two - Body Motion in Dilaton Gravity

We present an exact solution to the problem of the relativistic motion of 2 point masses in (1 + 1) dimensional dilaton gravity. The motion of the bodies is governed entirely by their mutual gravitational influence, and the spacetime metric is likewise fully determined by their stress-energy. A Newtonian limit exists, and there is a static gravitational potential. Our solution gives the exact H...

ar X iv : g r - qc / 0 60 70 18 v 1 5 J ul 2 00 6 Theorems on Null - Paths and Red - Shift

In the present work, we prove the validity of two theorems on null-paths in a version of absolute parallelism geometry. A version of these theorems has been originally established and proved by Kermak, McCrea and Whittaker (KMW) in the context of Riemannian geometry. The importance of such theorems is their use, in applications, to derive a general formula for the red-shift of spectral lines co...

ar X iv : g r - qc / 0 51 01 27 v 1 3 1 O ct 2 00 5 Imprints of Spacetime Topology in the Hawking - Unruh Effect