Simulation of geodesic trajectory of charged BTZ black holes in massive gravity

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作者
S. H. Hendi
A. M. Tavakkoli
S. Panahiyan
B. Eslam Panah
E. Hackmann
机构
[1] Shiraz University,Physics Department and Biruni Observatory, College of Sciences
[2] Canadian Quantum Research Center,School of Electrical and computer engineering
[3] Shiraz University,Center of Applied Space Technology and Microgravity (ZARM)
[4] Helmholtz-Institut Jena,undefined
[5] GSI Helmholtzzentrum für Schwerionenforschung,undefined
[6] National Elites Foundation of Iran,undefined
[7] University of Bremen,undefined
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摘要
In order to classify and understand structure of the spacetime, investigation of the geodesic motions of massive and massless particles is a key tool. So the geodesic equation is a central equation of gravitating systems and the subject of geodesics in the black hole dictionary attracted much attention. In this paper, we give a full description of geodesic motions in three-dimensional spacetime. We investigate the geodesics near charged BTZ black holes and then generalize our prescriptions to the case of massive gravity. We show that electric charge is a critical parameter for categorizing the geodesic motions of both lightlike and timelike particles. In addition, we classify the type of geodesics based on the particle properties and geometry of spacetime.
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