Geodesics Structure and Light Deflection of Regular Phantom Black Hole

Abstract

The geodesic structure of Regular Phantom Black Holes (\textbf{RPBH}) space--time is analyzed and discussed in three asymptotically cases: Flat, de Sitter (\textbf{dS}), and Anti--de Sitter (\textbf{AdS}). The impact of the important scale parameter $b$\footnote{This parameter determines the coupling strength between phantom field and gravity.} on the trajectory of particles is studied and investigated which can mimic repulsion or attraction. By virtue of Effective Potential (\textbf{EP}) tool, the circular orbits and their stability are discussed. Also, in the asymptotically flat spacetime, the angle of light deflection versus the scale parameter is presented.