Boson stars and black holes with (complex and) real scalar hair
Abstract: We discuss boson stars and black holes with scalar hair in a model where the complex scalar field forming the boson star and the hair on the black hole, respectively, interacts with a real scalar field via a H\'enon-Heiles-type potential. We demonstrate that black holes and boson stars carrying only a real scalar field with cubic self-interaction are possible and that black holes with both real and complex scalar field branch off from these solutions for sufficiently large interaction between the two fields and/or sufficiently large horizon radius $r_h$. The latter possess lower mass for the same choice of coupling constants than the former, however seem to be thermodynamically preferred only for high enough temperature.
- David J. Kaup. Klein-Gordon Geon. Phys. Rev., 172:1331–1342, 1968.
- Boson stars: Early history and recent prospects. In 8th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories (MG 8), pages 1607–1626, 6 1997.
- Scalar Soliton Stars and Black Holes. Phys. Rev. D, 35:3658, 1987.
- Philippe Jetzer. Boson stars. Phys. Rept., 220:163–227, 1992.
- General relativistic boson stars. Class. Quant. Grav., 20:R301–R356, 2003.
- Sidney R. Coleman. Q-balls. Nucl. Phys. B, 262(2):263, 1985. [Addendum: Nucl.Phys.B 269, 744 (1986)].
- Black holes in magnetic monopoles. Phys. Rev. D, 45:2751–2761, 1992.
- Gravitating monopole solutions. Nucl. Phys. B, 383:357–376, 1992.
- I. Pena and D. Sudarsky. Do collapsed boson stars result in new types of black holes? Class. Quant. Grav., 14:3131–3134, 1997.
- Spherically Symmetric Scalar Hair for Charged Black Holes. Phys. Rev. Lett., 125(11):111104, 2020.
- Carlos A. R. Herdeiro and Eugen Radu. Spherical electro-vacuum black holes with resonant, scalar Q𝑄Qitalic_Q-hair. Eur. Phys. J. C, 80(5):390, 2020.
- Carlos A. R. Herdeiro and Eugen Radu. Kerr black holes with scalar hair. Phys. Rev. Lett., 112:221101, 2014.
- Properties of scalar hairy black holes and scalarons with asymmetric potential. Phys. Rev. D, 108(4):044020, 2023.
- Charged hairy black holes in the gauged Einstein-Friedberg-Lee-Sirlin model. Phys. Rev. D, 107(10):104062, 2023.
- The Applicability of the Third Integral of Motion: Some Numerical Experiments. Astron. J., 69:73–79, 1964.
- E. Nugaev. Henon-Heiles potential as a bridge between nontopological solitons of different types. Commun. Nonlinear Sci. Numer. Simul., 20(2):443–446, 2015.
- Y. Brihaye and F. Buisseret. Q-balls and charged Q-balls in a two-scalar field theory with generalized Henon-Heiles potential. Phys. Rev. D, 109(7):076029, 2024.
- R Conte and M Musette. Link between solitary waves and projective riccati equations. Journal of Physics A: Mathematical and General, 25(21):5609, nov 1992.
- A collocation solver for mixed order systems of boundary value problems. Mathematics of Computation, 33(146):659–679, 1979.
- Collocation software for boundary-value odes. ACM Trans. Math. Softw., 7(2):209–222, June 1981.
- A curved hénon—heiles system and its integrable perturbations. Journal of Physics: Conference Series, 597(1):012013, mar 2015.
- Philip B. Burt. Solitary waves in nonlinear field theories. Phys. Rev. Lett., 32:1080–1081, May 1974.
- G. H. Derrick. Comments on Nonlinear Wave Equations as Models for Elementary Particles. Journal of Mathematical Physics, 5(9):1252–1254, 09 1964.
- Chaos around a hénon-heiles-inspired exact perturbation of a black hole. Phys. Rev. Lett., 76:1409–1412, Feb 1996.
- Addendum: Chaos around a Henon-Heiles inspired exact perturbation of a black hole. Phys. Rev. Lett., 76:4098, 1996.
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