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

Abstract

By an argument similar to that of Gibbons and Stewart, but in a different coordinate system and less restrictive gauge, we show that any weakly-asymptotically-simple, analytic vacuum or electrovacuum solutions of the Einstein equations which are periodic in time are necessarily stationary.

25 pages, 2 figures, published in Class. Quant. Grav.

References in corpus (5)

• On the Rigidity Theorem for Spacetimes with a Stationary Event Horizon or a Compact Cauchy Horizon
• On existence of mini-boson stars
• Spherical Universes with Anisotropic Pressure
• Helical Symmetry in Linear Systems
• On analytic asymptotically-flat vacuum and electrovac metrics, periodic in time

Cited by in corpus (10)

• Time-periodic solutions in Einstein AdS - massless scalar field system
• Unique continuation from infinity for linear waves
• Global uniqueness theorems for linear and nonlinear waves
• Massive Graviton Geons
• On asymptotically flat solutions of Einstein's equations periodic in time II. Spacetimes with scalar-field sources
• The Meissner Effect for axially symmetric charged black holes
• Constraints on the symmetry noninheriting scalar black hole hair
• Dynamics of Nonlinear Waves on Bounded Domains
• On the Bondi mass of Maxwell-Klein-Gordon spacetimes
• On periodic solutions of nonlinear wave equations, including Einstein equations with a negative cosmological constant