Soliton stars in the breather limit
Résumé
This paper presents an asymptotic reduction of the
Einstein-Klein-Gordon system with real scalar field (``soliton
star problem''). A periodic solution of the reduced system,
similar to the sine-Gordon breather, is obtained by a variational
method. This tallies with numerical computations. As a
consequence, a time-periodic redshift for sources close to the
center of the star is obtained.