Geodesics around oscillatons |
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Authors: | Ricardo Becerril Tonatiuh Matos Luis Ureña-López |
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Institution: | (1) Instituto de Fisica y Matemáticas de la Universidad Michoacana, Edif. C-3, 58060 Morelia, Michoacán, México;(2) Centro de Investigación y Estudios Avanzados del I.P.N., A.P. 14-740, 07000 México, D.F, México;(3) Instituto de Fisica de la Universidad de Guanajuato, A.P. E-143, 37150 León, Guanajuato, México |
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Abstract: | 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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Keywords: | Einstein– Klein– Gordon equations Bound orbits |
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