Kerr black hole as a gravitational lens

Igor Bray

doi:10.1103/PhysRevD.34.367

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Kerr black hole as a gravitational lens

Igor Bray

Department of Mathematical Physics, University of Adelaide, GPO Box 498, Adelaide, SA 5001, Australia

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Phys. Rev. D 34, 367 – Published 15 July, 1986

DOI: https://doi.org/10.1103/PhysRevD.34.367

Abstract

We present approximate solutions to the equations of motion for a ray of light in the Kerr metric which are correct up to and including second-order terms in m/ $r_{\min}$ and a/ $r_{\min}$ , where m and a are the Kerr mass and spin, respectively, while $r_{\min}$ is the distance of closest approach. We use these expressions to investigate the multi-imaging aspect of the gravitational lens effect.

References (6)

C. T. Cunningham and J. M. Bardeen, Astrophys. J. 183, 237 (1973).
B. Carter, Phys. Rev. 174, 1559 (1968).
D. C. Wilkins, Phys. Rev. D 5, 814 (1972).
J. M. Bardeen, in Black Holes, edited by C. DeWitt and B. S. DeWitt (Gordon and Breach, New York, 1973).
S. Elhay and J. Kautsky, Aust. Comput. Sci. Commun. 6, 15-1 (1984).
I. Bray, Mon. Not. R. Astron. Soc. 208, 511 (1984).

[c1] C. T. Cunningham and J. M. Bardeen, Astrophys. J. 183, 237 (1973).

[c2] B. Carter, Phys. Rev. 174, 1559 (1968).

[c3] D. C. Wilkins, Phys. Rev. D 5, 814 (1972).

[c4] J. M. Bardeen, in Black Holes, edited by C. DeWitt and B. S. DeWitt (Gordon and Breach, New York, 1973).

[c5] S. Elhay and J. Kautsky, Aust. Comput. Sci. Commun. 6, 15-1 (1984).

[c6] I. Bray, Mon. Not. R. Astron. Soc. 208, 511 (1984).

Physical Review D

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Kerr black hole as a gravitational lens

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