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 |
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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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