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

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 orbits: 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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https://hal.archives-ouvertes.fr/hal-00993140
Contributor : Philippe Grandclement <>
Submitted on : Friday, July 18, 2014 - 10:46:54 AM
Last modification on : Friday, April 5, 2019 - 8:04:19 PM

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### Citation

Philippe Grandclement, Claire Somé, Eric Gourgoulhon. Models of rotating boson stars and geodesics around them: new type of orbits. Physical Review D, American Physical Society, 2014, 90, pp.024068. ⟨10.1103/PhysRevD.90.024068⟩. ⟨hal-00993140v3⟩

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