Geodesics around oscillatons

Details Geodesics around oscillatons Geodesics around oscillatons

Apr 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006gregr..38..633b&link_type=abstract

General Relativity and Gravitation, Volume 38, Issue 4, pp.633-641

Astronomy and Astrophysics

Astrophysics

1

Einstein&Ndash, Klein&Ndash, Gordon Equations, Bound Orbits

Scientific paper

Oscillatons are spherically symmetric solutions to the Einstein Klein Gordon equations. These solutions are non-singular, asymptotically flat, and with periodic time dependency. In this paper, we investigate the geodesic motion of particles moving around of an oscillatonic field. Bound orbits are found for particular values of the particles' angular momentum L and their initial radial position r 0. It is found that the radial coordinate of such particles oscillates in time and we are able to predict the corresponding oscillating period as well as its amplitude. We carry out this study for the quadratic V(φ) = m Φ Φ2/2 scalar field potential. We discuss possible ways to follow in order to connect this kind of studies with astrophysical observations.

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