On asymptotically flat solutions of Einstein's equations periodic in time II. Spacetimes with scalar-field sources

Details On asymptotically flat solutions of Einstein's equations periodic in time II. Spacetimes with scalar-field sources On asymptotically flat solutions of Einstein's equations periodic in time II. Spacetimes with scalar-field sources

2010-08-02

arxiv.org/abs/1008.0248v2

Class.Quant.Grav.27:175011,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

29 pages, published in Class. Quant. Grav. Replaced. Typos corrected, version which appeared in Class. Quant.Grav

Scientific paper

10.1088/0264-9381/27/17/175011

We extend the work in our earlier article [4] to show that time-periodic, asymptotically-flat solutions of the Einstein equations analytic at scri, whose source is one of a range of scalar-field models, are necessarily stationary. We also show that, for some of these scalar-field sources, in stationary, asymptotically-flat solutions analytic at scri, the scalar field necessarily inherits the symmetry. To prove these results we investigate miscellaneous properties of massless and conformal scalar fields coupled to gravity, in particular Bondi mass and its loss.

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