TY - JOUR

T1 - Particle motions and gravitational lensing in de Rham-Gabadadze-Tolley massive gravity theory

AU - Panpanich, Sirachak

AU - Ponglertsakul, Supakchai

AU - Tannukij, Lunchakorn

N1 - Publisher Copyright:
Copyright © 2019, The Authors. All rights reserved.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2019/4/5

Y1 - 2019/4/5

N2 - 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 γ in the dRGT black hole solution. We also find an analytically approximated formula of deflection angle in two regimes: large and small γ 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.

AB - 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 γ in the dRGT black hole solution. We also find an analytically approximated formula of deflection angle in two regimes: large and small γ 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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M3 - Article

AN - SCOPUS:85093784499

JO - Nuclear Physics A

JF - Nuclear Physics A

SN - 0375-9474

ER -