https://doi.org/10.1140/epjc/s10052-020-8022-7
Regular Article - Theoretical Physics
Optical properties of a Brane-World black hole as photons couple to the Weyl tensor
Institute of Theoretical Physics and Research Center of Gravitation, Lanzhou University, Lanzhou, 730000, China
* e-mail: dengjb@lzu.edu.cn
Received:
6
March
2020
Accepted:
6
May
2020
Published online:
22
May
2020
In this article, we have investigated the equations of motion of the photons coupled to Weyl tensor by the geometric optics approximation and the corresponding shadow in a Brane-World black hole spacetime. It is shown that there exists a double shadow for a black hole since the coupling photons with different polarization directions propagate along different paths in the spacetime. Furthermore, we discuss the effects of the metric parameter 
related to the cosmological constant, X-cold dark matter parameter 
and the coupling parameter 
on the umbra (the overlap region of the double shadow) and the penumbra. We also obtain the finite-distance corrections to the deflection angle of light in the Brane-World black hole spacetime as the photons coupled to Weyl tensor by using a recent geometric method.
© The Author(s), 2020
