Particle motions and Gravitational Lensing in de Rham-Gabadadze-Tolley Massive Gravity Theory

Understand

We investigate gravitational lensing and particle motions around non-asymptotically flat black hole spacetime in non-linear, ghost-free massive gravity theory, called de Rham-Gabadadze-Tolley (dRGT) massive gravity.

• Deflection angle formulae are derived in terms of perihelion parameter.
• The deflection angle can be positive, zero or even negative with various perihelion distance.
• The negative angle reveals repulsive behaviour of gravity from a linear term $\gamma$ in the dRGT black hole solution.