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 - Funding Information:
S. P. (first author) is supported by Rachadapisek Sompote Fund for Postdoctoral Fellowship, Chulalongkorn University. L. T. is supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (Grant No. 2016R1C1B1010107).

PY - 2019/8/13

Y1 - 2019/8/13

N2 - We investigate gravitational lensing and particle motions around nonasymptotically flat black hole spacetime in nonlinear, ghost-free massive gravity theory, called de Rham-Gabadadze-Tolley (dRGT) massive gravity. Deflection angle formulas 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 behavior 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 an equatorial plane are explored. Particle trajectories around the dRGT black hole are plotted and discussed in detail.

AB - We investigate gravitational lensing and particle motions around nonasymptotically flat black hole spacetime in nonlinear, ghost-free massive gravity theory, called de Rham-Gabadadze-Tolley (dRGT) massive gravity. Deflection angle formulas 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 behavior 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 an equatorial plane are explored. Particle trajectories around the dRGT black hole are plotted and discussed in detail.

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U2 - 10.1103/PhysRevD.100.044031

DO - 10.1103/PhysRevD.100.044031

M3 - Article

AN - SCOPUS:85072182938

VL - 100

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 4

M1 - 044031

ER -