Homothetic Wyman Spacetimes

Details Homothetic Wyman Spacetimes Homothetic Wyman Spacetimes

1997-07-16

arxiv.org/abs/gr-qc/9707037v2

Int.J.Mod.Phys. D7 (1998) 261-278

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages with 6 figures; requires amsart, amssymb, amsmath, graphicx; formatted for publication in Int. J. Mod. Phys. D

Scientific paper

10.1142/S0218271898000218

The time-dependent, spherically symmetric, Wyman sector of the Unified Field Theory is shown to be equivalent to a self-gravitating scalar field with a positive-definite, repulsive self-interaction potential. A homothetic symmetry is imposed on the fundamental tensor, and the resulting autonomous system is numerically integrated. Near the critical point (between the collapsing and non-collapsing spacetimes) the system displays an approximately periodic alternation between collapsing and dispersive epochs.

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