Particle motions and Gravitational Lensing in de Rham-Gabadadze-Tolley Massive Gravity Theory. (arXiv:1904.02915v1 [gr-qc])
<a href="http://arxiv.org/find/gr-qc/1/au:+Panpanich_S/0/1/0/all/0/1">Sirachak Panpanich</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Ponglertsakul_S/0/1/0/all/0/1">Supakchai Ponglertsakul</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Tannukij_L/0/1/0/all/0/1">Lunchakorn Tannukij</a>
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. We also find an
analytically approximated formula of deflection angle in two regimes: large and
small $gamma$ term regimes which are shown to be consistent with direct
numerical integration. Null and timelike geodesic motions on equatorial plane
are explored. Particle trajectories around the dRGT black hole are plotted and
discussed in details.
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. We also find an
analytically approximated formula of deflection angle in two regimes: large and
small $gamma$ term regimes which are shown to be consistent with direct
numerical integration. Null and timelike geodesic motions on equatorial plane
are explored. Particle trajectories around the dRGT black hole are plotted and
discussed in details.
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