TY - JOUR

T1 - Greybody factors for a nonminimally coupled scalar field in BTZ black hole background

AU - Panotopoulos, Grigoris

AU - Rincón, Ángel

N1 - Funding Information:
We wish to thank the anonymous reviewer for useful comments and suggestions. The author G.P. acknowledges the support from “ Fundação para a Ciência e Tecnologia ”. The author A.R. was supported by the CONICYT-PCHA/Doctorado Nacional / 2015-21151658 .
Publisher Copyright:
© 2017 The Authors

PY - 2017/9/10

Y1 - 2017/9/10

N2 - In the present work we study the propagation of a probe nonminimally coupled scalar field in BTZ black hole background. We find analytical expressions for the reflection coefficient, the absorption cross-section, and the decay rate in the strong coupling case, where the nonminimal coupling is larger than its conformal value ξc=1/6. Our main results are summarized in several figures, in which we show how the behavior of the aforementioned quantities depends on the parameters of the theory. Our findings show that i) the reflection coefficient tends to zero only for a nonminimal coupling ξ≥0.25, and ii) in the zero angular-momentum case the greybody factor in the low energy regime tends to a finite constant that generically does not coincide with the area of the horizon of the black hole. There is, however, a special case in which this holds.

AB - In the present work we study the propagation of a probe nonminimally coupled scalar field in BTZ black hole background. We find analytical expressions for the reflection coefficient, the absorption cross-section, and the decay rate in the strong coupling case, where the nonminimal coupling is larger than its conformal value ξc=1/6. Our main results are summarized in several figures, in which we show how the behavior of the aforementioned quantities depends on the parameters of the theory. Our findings show that i) the reflection coefficient tends to zero only for a nonminimal coupling ξ≥0.25, and ii) in the zero angular-momentum case the greybody factor in the low energy regime tends to a finite constant that generically does not coincide with the area of the horizon of the black hole. There is, however, a special case in which this holds.

UR - http://www.scopus.com/inward/record.url?scp=85030457874&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2017.07.014

DO - 10.1016/j.physletb.2017.07.014

M3 - Article

AN - SCOPUS:85030457874

VL - 772

SP - 523

EP - 528

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

ER -