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

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...

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Bibliographic Details
Published in:Physical review. D, Particles, fields, gravitation, and cosmology Particles, fields, gravitation, and cosmology, 2014-07, Vol.90 (2), Article 024068
Main Authors: Grandclément, Philippe, Somé, Claire, Gourgoulhon, Eric
Format: Article
Language:English
Subjects:
Bosons
Cosmology
Gravitation
Mathematical analysis
Mathematical models
Orbits
Rotating
Rotational
Stars
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Summary: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.
ISSN:1550-7998
1550-2368
DOI:10.1103/PhysRevD.90.024068