Weak Gravitational lensing by phantom black holes and phantom wormholes using the Gauss-Bonnet theorem

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In this paper, we study the deflection of light by a class of phantom black hole and wormhole solutions in the weak limit approximation.

• More specifically, in the first part of this work, we study the deflection of light by Garfinkle-Horowitz-Str\"{o}minger black hole and Einstein-Maxwell anti-dilaton black hole using the optical geometry and the Gauss-Bonnet theorem.
• Our calculations show that gravitational lensing is affected by the phantom scalar field (phantom dilaton).
• In the second part of this work, we explore the deflection of light by a class of asymptotically flat phantom wormholes.