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Strong gravitational lensing of quasi-Kerr compact object with arbitrary quadrupole moments

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Abstract

We study the strong gravitational lensing on the equatorial plane of a quasi-Kerr compact object with arbitrary quadrupole moments which can be used to model the super-massive central object of the galaxy. We find that, when the quadrupolar correction parameter ξ takes the positive (negative) value, the photon-sphere radius r ps, the minimum impact parameter u ps, the coefficient \( \overline b \), the relative magnitudes r m and the angular position of the relativistic images θ ∞ are larger (smaller) than the results obtained in the Kerr black hole, but the coefficient \( \overline a \), the deflection angle α(θ) and the angular separation s are smaller (larger) than that in the Kerr black hole. These features may offer a way to probe special properties for some rotating compact objects by the astronomical instruments in the future.

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Authors and Affiliations

  1. Department of Physics, and Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, Hunan, 410081, P.R. China

    Changqing Liu, Songbai Chen & Jiliang Jing

  2. Department of Physics and Information Engineering, Hunan Institute of Humanities Science and Technology, Loudi, Hunan, 417000, P.R. China

    Changqing Liu

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  1. Changqing Liu
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  2. Songbai Chen
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Liu, C., Chen, S. & Jing, J. Strong gravitational lensing of quasi-Kerr compact object with arbitrary quadrupole moments. J. High Energ. Phys. 2012, 97 (2012). https://doi.org/10.1007/JHEP08(2012)097

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