Abstract
In a recent paper (Cederbaum C and Galloway G J 2015 Commun. Analysis Geom. at press), the authors established the uniqueness of photon spheres in static vacuum asymptotically flat spacetimes by adapting Bunting and Masood-ul-Alam's proof of static vacuum black hole uniqueness. Here, we establish uniqueness of suitably defined sub-extremal photon spheres in static electro-vacuum asymptotically flat spacetimes by adapting the argument of Masood-ul-Alam (1992 Class. Quantum Grav. 9 L53-5). As a consequence of our result, we can rule out the existence of electrostatic configurations involving multiple 'very compact' electrically charged bodies and sub-extremal black holes.
| Original language | English (US) |
|---|---|
| Article number | 075006 |
| Journal | Classical and Quantum Gravity |
| Volume | 33 |
| Issue number | 7 |
| DOIs | |
| State | Published - Mar 7 2016 |
Keywords
- asymptotically flat
- electrostatic
- photon spheres
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
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Cederbaum, C., & Galloway, G. J. (2016). Uniqueness of photon spheres in electro-vacuum spacetimes. Classical and Quantum Gravity, 33(7), [075006]. https://doi.org/10.1088/0264-9381/33/7/075006