TY - JOUR

T1 - Deflection of light by rotating regular black holes using the Gauss-Bonnet theorem

AU - Jusufi, Kimet

AU - Övgün, Ali

AU - Saavedra, Joel

AU - Vásquez, Yerko

AU - González, P. A.

N1 - Funding Information:
This work is supported by Comisión Nacional de Ciencias y Tecnología of Chile through FONDECYT Grant No. 3170035 (A. Ö.), No. 1170279 (J. S.) and by the Dirección de Investigación y Desarrollo de la Universidad de La Serena (Y. V.). P. A. G. acknowledges the hospitality of the Universidad de La Serena where part of this work was undertaken. A. Ö. is grateful to Prof. Douglas Singleton for hosting him at the California State University, Fresno and also thanks Prof. Leonard Susskind and Stanford Institute for Theoretical Physics for hospitality.
Publisher Copyright:
© 2018 American Physical Society.

PY - 2018/6/15

Y1 - 2018/6/15

N2 - In this paper, we study the weak gravitational lensing in the spacetime of rotating regular black hole geometries such as Ayon-Beato-García (ABG), Bardeen, and Hayward black holes. We calculate the deflection angle of light using the Gauss-Bonnet theorem (GBT) and show that the deflection of light can be viewed as a partially topological effect in which the deflection angle can be calculated by considering a domain outside of the light ray applied to the black hole optical geometries. Then, we demonstrate also the deflection angle via the geodesics formalism for these black holes to verify our results and explore the differences with the Kerr solution. These black holes have, in addition to the total mass and rotation parameter, different parameters of electric charge, magnetic charge, and deviation parameter. We find that the deflection of light has correction terms coming from these parameters, which generalizes the Kerr deflection angle.

AB - In this paper, we study the weak gravitational lensing in the spacetime of rotating regular black hole geometries such as Ayon-Beato-García (ABG), Bardeen, and Hayward black holes. We calculate the deflection angle of light using the Gauss-Bonnet theorem (GBT) and show that the deflection of light can be viewed as a partially topological effect in which the deflection angle can be calculated by considering a domain outside of the light ray applied to the black hole optical geometries. Then, we demonstrate also the deflection angle via the geodesics formalism for these black holes to verify our results and explore the differences with the Kerr solution. These black holes have, in addition to the total mass and rotation parameter, different parameters of electric charge, magnetic charge, and deviation parameter. We find that the deflection of light has correction terms coming from these parameters, which generalizes the Kerr deflection angle.

UR - http://www.scopus.com/inward/record.url?scp=85049532877&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.97.124024

DO - 10.1103/PhysRevD.97.124024

M3 - Article

AN - SCOPUS:85049532877

VL - 97

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 12

M1 - 124024

ER -