The asymptotics of stationary electro-vacuum metrics in odd space-time dimensions

Abstract

We show that stationary, asymptotically flat solutions of the electro-vacuum Einstein equations are analytic at $i^0$, for a large family of gauges, in odd space-time dimensions higher than seven. The same is true in space-time dimension five for static vacuum solutions with non-vanishing mass.

arXiv comment9 pages, no figures; minor changes, one reference added

References in corpus (5)

• Global existence for the Einstein vacuum equations in wave coordinates
• Black Rings
• Asymptotically simple solutions of the vacuum Einstein equations in even dimensions
• Critical behavior in vacuum gravitational collapse in 4+1 dimensions
• Global solutions of the Einstein-Maxwell equations in higher dimensions

Cited by in corpus (4)

• Stationary Black Holes: Uniqueness and Beyond
• Stability of Minkowski space and polyhomogeneity of the metric
• Interpreting spacetimes of any dimension using geodesic deviation
• Asymptotic flatness in higher dimensions