Models of rotating boson stars and geodesics around them: New type of orbits

Philippe Grandclément, Claire Somé, and Eric Gourgoulhon
Phys. Rev. D 90, 024068 – Published 24 July 2014

Abstract

We have developed a highly accurate numerical code capable of solving the coupled Einstein-Klein-Gordon system, in order to construct rotating boson stars in general relativity. Free fields and self-interacting fields, with quartic and sextic potentials, are considered. In particular, we present the first numerical solutions of rotating boson stars with rotational quantum number k=3 and k=4, as well as the first determination of the maximum mass of free-field boson stars with k=2. We have also investigated timelike geodesics in the spacetime generated by a rotating boson star for k=1, 2 and 3. A numerical integration of the geodesic equation has enabled us to identify a peculiar type of orbit: the zero-angular-momentum ones. These orbits pass very close to the center and are qualitatively different from orbits around a Kerr black hole. Should such orbits be observed, they would put stringent constraints on astrophysical compact objects like the Galactic center.

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  • Received 19 May 2014

DOI:https://doi.org/10.1103/PhysRevD.90.024068

© 2014 American Physical Society

Authors & Affiliations

Philippe Grandclément*, Claire Somé, and Eric Gourgoulhon

  • Laboratoire Univers et Théories, UMR 8102 du CNRS, Observatoire de Paris, Université Paris Diderot, F-92190 Meudon, France

  • *philippe.grandclement@obspm.fr
  • claire.some@obspm.fr
  • eric.gourgoulhon@obspm.fr

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Issue

Vol. 90, Iss. 2 — 15 July 2014

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