No hair theorem for scalar field models with non-minimal derivative coupling around a reflecting star

Document Type : Full length research Paper

Authors

Department of Physics, College of Science, University of Tehran

Abstract

Studying scalar field around black holes in the context of the no-hair theorem is an important
and interesting subject. We investigate no scalar hair theorem for an asymptotically flat
horizon-less neutral compact reflecting star. A reflecting star is an object with a reflecting
boundary (instead of the absorbing event horizon) on which the scalar field or its derivative
are zero . We consider a non-minimal kinetic coupling model such that in the kinetic part, the
scalar field is non-minimally coupled to the Einstein tensor. We show that in contrast to the
black hole cases, there is no non-trivial hair in this problem.

Keywords

Main Subjects

References

[1] R. Ruffini, J.A.Wheeler, Introducing the black hole, Physics Today. 24 (1971) 30.
https://doi.org/10.1063/1.3022513

[2] C‎.‎A‎.R‎. ‎Herdeiro, E‎. ‎Radu‎, Asymptotically flat black holes with scalar hair a review, ‎arXiv:1504.08209 [gr-qc].

[3] J.D. Bekenstein, Transcendence of the Law of Baryon-Number Conservation in Black-Hole Physics, Physical Review Letters 28 (1972) 452.

https://doi.org/10.1103/PhysRevLett.28.452
[4] J.D. Bekenstein, Black hole Thermodynamics, Physics Today33 (1980) 24.
https://doi.org/10.1063/1.2913906
[5] S. Hod,Stationary scalar clouds around rotating black holes, Physical Review D 86 (2012) 104026.
https://doi.org/10.1103/PhysRevD.86.104026
[6] S. Hod, Stationary resonances of rapidly-rotating Kerr black holes, European Physical Journal C 73 (2013) 2378.
https://doi.org/10.1140/epjc/s10052-013-2378-x
[7] C.A.R. Herdeiro, E. Radu, Kerr Black Holes with Scalar Hair, Physical Review Letters 112 (2014) 221101.
https://doi.org/10.1103/PhysRevLett.112.221101
[8] S. Hod, No nonminimally coupled massless scalar hair for spherically symmet-ric neutral reflecting stars,  Phys. Rev. D 96 (2017) 024019.
https://doi.org/10.1016/j.physletb.2017.08.033
[9] S. Hod. Charged massive scalar field configurations supported by a spherically symmetric charged reflecting shell, Physics Letters B 763 (2016) 275.
https://doi.org/10.1016/j.physletb.2016.10.069
[10] S. Hod, The superradiant instability regime of the spinning Kerr black hole,
 Physics Letters B 758 (2016) 181-185.
https://doi.org/10.1016/j.physletb.2016.05.012
[11] S. Hod. No hair for spherically symmetric neutral reflecting stars, Physics Letters B 773 (2017) 208-212.
https://doi.org/10.1016/j.physletb.2017.08.033
[12] S. Hod, No-scalar-hair theorem for spherically symmetric reflecting stars, Physical Review D 94 (2016) 104073.
https://doi.org/10.1103/PhysRevD.94.104073
[13] C. Germani, A. Kehagias,New Model of Inflation with Non-minimal Derivative Coupling of Standard Model Higgs Boson to Gravity  Physical Review Letters 105 (2010) 011302.
https://doi.org/10.1103/PhysRevLett.28.452
[14] H.M. Sadjadi, P. Goodarzi. Reheating temperature in non-minimal derivative coupling model, ‎JCAP 07 (2013) 039‎.

https://doi.org/10.1088/1475-7516/2013/07/039

[15] H‎.M‎. ‎Sadjadi‎, ‎P‎. ‎Goodarzi‎, Oscillatory inflation in non-minimal derivative coupling model, ‎ Physics Letters‎ ‎B 732 (2014)‎ ‎278.
https://doi.org/10.1016/j.physletb.2014.03.050
[16] M‎. ‎Khodaei‎, ‎H‎. ‎Mohseni Sadjadi‎, No Skyrmion hair for stationary asymptotic flat reflecting star, Physics Letters ‎ ‎B 797 (2019)‎ ‎‎134922.
https://doi.org/10.1016/j.physletb.2019.134922
[17] ‎H‎. ‎Mohseni Sadjadi‎, M‎. ‎Khodaei‎, No scalar hair in nonminimal derivative coupling model for Neumann and Dirichlet reflecting star, Physics Letters B 799 (2019) 135031.
https://doi.org/10.1016/j.physletb.2019.135031
 

Files

History

  • Receive Date: 07 June 2020
  • Revise Date: 19 October 2020
  • Accept Date: 02 November 2020

Share

How to cite

Statistics