Spontaneous scalarization in Gauss-Bonnet black hole and hybrid fields

Document Type : Full length research Paper

Authors

Department of Physics, University of Tehran,Tehran, Iran

Abstract

We study the extended scalar-tensor Gauss-Bonnet. First, we review a model in which there is a coupling between the Gauss-Bonnet scalar and the scalar field. Then we extend the model to a hybrid model with two scalar fields. We study the conditions under which the solutions are unstable and spontaneous scalarization occurs. We show that the coupling coefficients in the hybrid state and in the presence of a scalar field are asymptotically the same but the sufficient condition of instability is different between these two models.

Keywords

Main Subjects

References

[1] B.P. Abbott et al. (Virgo, LIGO Scientific), Observation of Gravitational Waves from a Binary Black Hole Merger, Physical Review Letters 116, 061102 (2016). https://doi.org/10.1103/PhysRevLett.116.061102
[2] B.P. Abbott et al. (Virgo, LIGO Scientific), GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence Physical Review Letters 116, 241103 (2016). https://doi.org/10.1103/PhysRevLett.116.241103
[3] K.S. Stelle, Renormalization of higher derivative quantum gravity. Physical Review D16, 953 (1977). https://doi.org/10.1103/PhysRevD.16.953
[4] M. Crisostomi, K. Koyama, G. Tasinato, Extended scalar-tensor theories of gravity. Journal of Cosmology and Astroparticle Physics, 2016 (04) 044, (2016). 10.1088/1475-7516/2016/04/044
[5] J.D. Bekenstein, Nonexistence of baryon number for black holes, Physical Review D 5, 1239 (1972). https://doi.org/10.1103/PhysRevD.5.1239
[6] A.E. Mayo, J.D. Bekenstein, No hair for spherical black holes: charged and non-minimally coupled scalar field with self-interaction, Physical Review D 54 5059 (1996). https://doi.org/10.1103/PhysRevD.54.5059
[7] S. Hod, Stationary scalar clouds around rotating black holes, Physical Review D 96 124037 (2017). https://doi.org/10.1103/PhysRevD.86.104026
[8] S. Hod, Spontaneous scalarization of Gauss-Bonnet black holes: Analytic treatment in the linearized regime, Physical Review D 100 064039 (2019). https://doi.org/10.1103/PhysRevD.100.064039
[9] D.D. Doneva, S.S. Yazadjiev, New Gauss-Bonnet black holes with curvature induced scalarization in the extended scalar-tensor theories, Physical Review Letters 120 31103 (2018). https://doi.org/10.1103/PhysRevLett.120.131103
[10] H.O. Silva, J. Sakstein, L.Gualtieri, T.P. Sotiriou, E. Berti, Spontaneous scalarization of black holes and compact stars from a Gauss-Bonnet coupling, Physical Review Letters 120, 131104 (2018). https://doi.org/10.1103/PhysRevLett.120.131104
[11] W. Buell, B. Shadwick, Potentials and bound states, American Journal of Physics 63, 256 (1995). https://doi.org/10.1119/1.17935
Journal of Research on Many-body Systems
Volume 13, Issue 1 - Serial Number 36
spring 2023
May 2023
Pages 63-71

Files

History

  • Receive Date: 03 March 2022
  • Revise Date: 23 August 2022
  • Accept Date: 07 November 2022

Share

How to cite

Statistics