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Gravitational lensing in the strong field limit by modified gravity

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Abstract

An investigation of the strong gravitational lensing in specific model of modified gravity is presented. It is shown that a slight modification to the general relativistic metric near the neighborhood of complete capture can be obtained. The formulae for the position of the critical curves, relativistic images and their magnification in the new metric are calculated and the differences with general relativity are compared. Furthermore, the radius of stable orbits is derived and the critical impact parameter is calculated. Finally, it is shown that in the strong field limit this solution may give a considerable contribution to gravitational lensing.

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Authors and Affiliations

  1. Department of Mathematics, Collage of Computer Science and Information Technology, University of Al-Qadisiyah, Diwaniyah, Iraq

    Ahmed Alhamzawi

  2. Department of Statistics, College of Administration and Economics, University of Al-Qadisiyah, Diwaniyah, Iraq

    Rahim Alhamzawi

Authors
  1. Ahmed Alhamzawi
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  2. Rahim Alhamzawi
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Correspondence to Ahmed Alhamzawi.

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Alhamzawi, A., Alhamzawi, R. Gravitational lensing in the strong field limit by modified gravity. Gen Relativ Gravit 48, 167 (2016). https://doi.org/10.1007/s10714-016-2161-z

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  • DOI: https://doi.org/10.1007/s10714-016-2161-z

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