A Reconstruction in Minkowskian Space-time of Einstein's Assembly of Test Particles

Hogan, P. A. (1977) A Reconstruction in Minkowskian Space-time of Einstein's Assembly of Test Particles. (Preprint)

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Abstract

We construct the energy-momentum tensor in Minkowskian space-time for Einstein's collisionless system of test particles moving in concentric circles, and obtain the 4-force necessary to preserve equilibrium. We derive a tensor field, satisfying the linearized Einstein equations, which is consistent with the applied 4-force. If the particles are contained within a sphere then outside the sphere we show that the tensor field is a linearized Schwarzschild field with a cosmological constant (this constant being the "potential energy" calculated on the surface of the sphere).

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 11 Jul 2018 10:54
Last Modified: 17 Dec 2022 10:13
URI: https://dair.dias.ie/id/eprint/965

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