TY - JOUR
T1 - Deflection of light by a rotating black hole surrounded by quintessence
AU - Sharma, Prateek
AU - Nandan, Hemwati
AU - GANNOUJI, RADOUANE
AU - Uniyal, Rashmi
AU - Abebe, Amare
N1 - Publisher Copyright:
© 2020 World Scientific Publishing Company.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/9/20
Y1 - 2020/9/20
N2 - We present a detailed analysis of a rotating black hole surrounded by quintessence. This solution represents a fluid with a constant equation of state, w, which can for example describe an effective warm dark matter fluid around a black hole. We clarify the conditions for the existence of such a solution and study its structure by analyzing the existence of horizons as well as the extremal case. We show that the deflection angle produced by the black hole depends on the parameters (c,w) which need to obey the condition cw < 0 because of the weak energy condition, where c is an additional parameter describing the hair of the black hole. In this context, we found that for w 0.1 (consistent with warm dark matter) and c < 0, the deviation angle is larger than that in the Kerr space-time for direct and retrograde orbits. We also derive an exact solution in the case of w = -1/3.
AB - We present a detailed analysis of a rotating black hole surrounded by quintessence. This solution represents a fluid with a constant equation of state, w, which can for example describe an effective warm dark matter fluid around a black hole. We clarify the conditions for the existence of such a solution and study its structure by analyzing the existence of horizons as well as the extremal case. We show that the deflection angle produced by the black hole depends on the parameters (c,w) which need to obey the condition cw < 0 because of the weak energy condition, where c is an additional parameter describing the hair of the black hole. In this context, we found that for w 0.1 (consistent with warm dark matter) and c < 0, the deviation angle is larger than that in the Kerr space-time for direct and retrograde orbits. We also derive an exact solution in the case of w = -1/3.
KW - Black holes
KW - dark energy
KW - gravitational lensing
KW - quintessence
UR - http://www.scopus.com/inward/record.url?scp=85091988458&partnerID=8YFLogxK
U2 - 10.1142/S0217751X20501559
DO - 10.1142/S0217751X20501559
M3 - Article
AN - SCOPUS:85091988458
VL - 35
JO - International Journal of Modern Physics A
JF - International Journal of Modern Physics A
SN - 0217-751X
IS - 26
M1 - 2050155
ER -