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Homothetic Wyman Spacetimes

M. A. Clayton
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Abstract

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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M. A. Clayton. 1997-10-15. Homothetic Wyman Spacetimes. https://doi.org/10.1142/s0218271898000218

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