On analytic asymptotically-flat vacuum and electrovac metrics, periodic in time
Paul Tod
TL;DR
This paper proves that no weakly-asymptotically-simple, analytic vacuum or electrovac solutions of Einstein's equations can be periodic in time, extending previous results to a broader class of solutions.
Contribution
It establishes a non-existence theorem for periodic, analytic solutions in vacuum and electrovac Einstein equations, generalizing earlier work by Gibbons and Stewart.
Findings
No weakly-asymptotically-simple, analytic solutions are periodic in time.
The proof extends the non-existence results to electrovac solutions.
Supports the uniqueness of non-periodic asymptotically-flat solutions.
Abstract
By an argument similar to that of Gibbons and Stewart (1984), we show that there are no weakly-asymptotically-simple, analytic vacuum or electrovac solutions of the Einstein equations which are periodic in time.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Relativity and Gravitational Theory