On analytic asymptotically-flat vacuum and electrovac metrics, periodic in time

2009/02/06 by Paul Tod, Tod, Paul · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory #gr-qc

paper · pdf · doi:10.48550/arxiv.0902.1061

11 pages; this paper is withdrawn as it contains an error which is corrected in the jointly-authored item arXiv:1003.3402.

openalex publication_date 2009/02/06 · arxiv created 2010/05/05 · arxiv updated 2010/05/06 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

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.

Citations

• An Approach to Gravitational Radiation by a Method of Spin Coefficients
• On asymptotically flat solutions of Einstein's equations periodic in time: I. Vacuum and electrovacuum solutions

Cited by

• On asymptotically flat solutions of Einstein's equations periodic in time: I. Vacuum and electrovacuum solutions

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