Abstract
We study the system constructed by charged scalar fields linearly coupled to asymptotically flat horizonless compact reflecting stars. We obtain bounds on the charge of the scalar field, below which the scalar hairy star is expected to suffer from nonlinear instabilities. It means that scalar hairy regular configurations are unstable for scalar fields of small charge. For the highly-charged star, there are also bounds on radii of regular compact reflecting stars. When the star radius is below the bound, the hairy star is always unstable.
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References
J.D. Bekenstein, Transcendence of the law of baryon-number conservation in black hole physics, Phys. Rev. Lett. 28 (1972) 452 [INSPIRE].
J.E. Chase, Event horizons in static scalar-vacuum space-times, Commun. Math. Phys. 19 (1970) 276.
C. Teitelboim, Nonmeasurability of the baryon number of a black-hole, Lett. Nuovo Cim. 3S2 (1972) 326 [INSPIRE].
J.D. Bekenstein, Black-hole thermodynamics, Phys. Today 33 (1980) 24.
R. Ruffini and J.A. Wheeler, Introducing the black hole, Phys. Today 24 (1971) 30.
S. Hod, Stationary Scalar Clouds Around Rotating Black Holes, Phys. Rev. D 86 (2012) 104026 [Erratum ibid. D 86 (2012) 129902] [arXiv:1211.3202] [INSPIRE].
C.A.R. Herdeiro and E. Radu, Kerr black holes with scalar hair, Phys. Rev. Lett. 112 (2014) 221101 [arXiv:1403.2757] [INSPIRE].
C.L. Benone, L.C.B. Crispino, C. Herdeiro and E. Radu, Kerr-Newman scalar clouds, Phys. Rev. D 90 (2014) 104024 [arXiv:1409.1593] [INSPIRE].
C. Herdeiro, E. Radu and H. Runarsson, Non-linear Q-clouds around Kerr black holes, Phys. Lett. B 739 (2014) 302 [arXiv:1409.2877] [INSPIRE].
P.V.P. Cunha, C.A.R. Herdeiro, E. Radu and H.F. Runarsson, Shadows of Kerr black holes with scalar hair, Phys. Rev. Lett. 115 (2015) 211102 [arXiv:1509.00021] [INSPIRE].
Y. Brihaye, C. Herdeiro and E. Radu, Inside black holes with synchronized hair, Phys. Lett. B 760 (2016) 279 [arXiv:1605.08901] [INSPIRE].
J.D. Bekenstein, Black hole hair: 25-years after, in Physics, proceedings of the 2nd International A.D. Sakharov Conference, Moscow, Russia, 20-24 May 1996, pp. 216-219, (1996), gr-qc/9605059 [INSPIRE].
C.A.R. Herdeiro and E. Radu, Asymptotically flat black holes with scalar hair: a review, Int. J. Mod. Phys. D 24 (2015) 1542014 [arXiv:1504.08209] [INSPIRE].
S. Hod, No-scalar-hair theorem for spherically symmetric reflecting stars, Phys. Rev. D 94 (2016) 104073 [arXiv:1612.04823] [INSPIRE].
S. Hod, No nonminimally coupled massless scalar hair for spherically symmetric neutral reflecting stars, Phys. Rev. D 96 (2017) 024019 [arXiv:1709.01933] [INSPIRE].
S. Bhattacharjee and S. Sarkar, No-hair theorems for a static and stationary reflecting star, Phys. Rev. D 95 (2017) 084027 [arXiv:1704.02873] [INSPIRE].
S. Hod, Charged massive scalar field configurations supported by a spherically symmetric charged reflecting shell, Phys. Lett. B 763 (2016) 275 [arXiv:1703.05333] [INSPIRE].
S. Hod, Marginally bound resonances of charged massive scalar fields in the background of a charged reflecting shell, Phys. Lett. B 768 (2017) 97 [arXiv:1806.06831] [INSPIRE].
Y. Peng, B. Wang and Y. Liu, Studies of scalar field configurations supported by reflecting shells in the AdS spacetime, Eur. Phys. J. C 78 (2018) 680 [arXiv:1803.09148] [INSPIRE].
S. Hod, Charged reflecting stars supporting charged massive scalar field configurations, Eur. Phys. J. C 78 (2018) 173 [arXiv:1801.02801] [INSPIRE].
S. Hod, Stationary bound-state scalar configurations supported by rapidly-spinning exotic compact objects, Phys. Lett. B 770 (2017) 186 [arXiv:1803.07093] [INSPIRE].
S. Hod, Ultra-spinning exotic compact objects supporting static massless scalar field configurations, Phys. Lett. B 774 (2017) 582 [arXiv:1708.09399] [INSPIRE].
S. Hod, Onset of superradiant instabilities in rotating spacetimes of exotic compact objects, JHEP 06 (2017) 132 [arXiv:1704.05856] [INSPIRE].
Y. Peng, Scalar field configurations supported by charged compact reflecting stars in a curved spacetime, Phys. Lett. B 780 (2018) 144 [arXiv:1801.02495] [INSPIRE].
Y. Peng, Scalar condensation behaviors around regular Neumann reflecting stars, Nucl. Phys. B 934 (2018) 459 [arXiv:1805.05706] [INSPIRE].
Y. Peng, Static scalar field condensation in regular asymptotically AdS reflecting star backgrounds, Phys. Lett. B 782 (2018) 717 [arXiv:1804.10787] [INSPIRE].
Y. Peng, Hair formation in the noncommutative reflecting star background, arXiv:1809.05329 [INSPIRE].
S. Chandrasekhar, The Mathematical Theory of Black Holes, Oxford University Press, New York (1983).
S.L. Shapiro and S.A. Teukolsky, Black Holes, White Dwarfs and Neutron Stars: The Physics of Compact Objects, first edition, Wiley-Interscience (1983).
S. Hod, Extremal Kerr-Newman black holes with extremely short charged scalar hair, Phys. Lett. B 751 (2015) 177 [arXiv:1707.06246] [INSPIRE].
V. Cardoso, L.C.B. Crispino, C.F.B. Macedo, H. Okawa and P. Pani, Light rings as observational evidence for event horizons: long-lived modes, ergoregions and nonlinear instabilities of ultracompact objects, Phys. Rev. D 90 (2014) 044069 [arXiv:1406.5510] [INSPIRE].
P. Grandclément, Light rings and light points of boson stars, Phys. Rev. D 95 (2017) 084011 [arXiv:1612.07507] [INSPIRE].
J. Keir, Slowly decaying waves on spherically symmetric spacetimes and ultracompact neutron stars, Class. Quant. Grav. 33 (2016) 135009 [arXiv:1404.7036] [INSPIRE].
V. Cardoso, A.S. Miranda, E. Berti, H. Witek and V.T. Zanchin, Geodesic stability, Lyapunov exponents and quasinormal modes, Phys. Rev. D 79 (2009) 064016 [arXiv:0812.1806] [INSPIRE].
S. Hod, Upper bound on the radii of black-hole photonspheres, Phys. Lett. B 727 (2013) 345 [arXiv:1701.06587] [INSPIRE].
P.V.P. Cunha, E. Berti and C.A.R. Herdeiro, Light-Ring Stability for Ultracompact Objects, Phys. Rev. Lett. 119 (2017) 251102 [arXiv:1708.04211] [INSPIRE].
S. Hod, On the number of light rings in curved spacetimes of ultra-compact objects, Phys. Lett. B 776 (2018) 1 [arXiv:1710.00836] [INSPIRE].
S. Hod, Upper bound on the gravitational masses of stable spatially regular charged compact objects, Phys. Rev. D 98 (2018) 064014 [INSPIRE].
D. Núñez, H. Quevedo and D. Sudarsky, Black holes have no short hair, Phys. Rev. Lett. 76 (1996) 571 [gr-qc/9601020] [INSPIRE].
S. Hod, Hairy Black Holes and Null Circular Geodesics, Phys. Rev. D 84 (2011) 124030 [arXiv:1112.3286] [INSPIRE].
A.E. Mayo and J.D. Bekenstein, No hair for spherical black holes: Charged and nonminimally coupled scalar field with selfinteraction, Phys. Rev. D 54 (1996) 5059 [gr-qc/9602057] [INSPIRE].
H. Bondi, Anisotropic spheres in general relativity, Mon. Not. Roy. Astron. Soc. 259 (1992) 365.
P. Basu, C. Krishnan and P.N.B. Subramanian, Hairy Black Holes in a Box, JHEP 11 (2016) 041 [arXiv:1609.01208] [INSPIRE].
N. Sanchis-Gual, J.C. Degollado, P.J. Montero, J.A. Font and C. Herdeiro, Explosion and Final State of an Unstable Reissner-Nordström Black Hole, Phys. Rev. Lett. 116 (2016) 141101 [arXiv:1512.05358] [INSPIRE].
S.R. Dolan, S. Ponglertsakul and E. Winstanley, Stability of black holes in Einstein-charged scalar field theory in a cavity, Phys. Rev. D 92 (2015) 124047 [arXiv:1507.02156] [INSPIRE].
Y. Peng, Studies of a general flat space/boson star transition model in a box through a language similar to holographic superconductors, JHEP 07 (2017) 042 [arXiv:1705.08694] [INSPIRE].
Y. Peng, B. Wang and Y. Liu, On the thermodynamics of the black hole and hairy black hole transitions in the asymptotically flat spacetime with a box, Eur. Phys. J. C 78 (2018) 176 [arXiv:1708.01411] [INSPIRE].
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Peng, Y. On instabilities of scalar hairy regular compact reflecting stars. J. High Energ. Phys. 2018, 185 (2018). https://doi.org/10.1007/JHEP10(2018)185
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DOI: https://doi.org/10.1007/JHEP10(2018)185