https://doi.org/10.1140/epjc/s10052-020-8065-9
Regular Article - Theoretical Physics
Simulation of geodesic trajectory of charged BTZ black holes in massive gravity
1
Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz, 71454, Iran
2
Canadian Quantum Research Center, 204-3002 32 Ave, Vernon, BC, V1T 2L7, Canada
3
School of Electrical and computer engineering, Shiraz University, Shiraz, Iran
4
Helmholtz-Institut Jena, Fröbelstieg 3, 07743, Jena, Germany
5
GSI Helmholtzzentrum für Schwerionenforschung, 64291, Darmstadt, Germany
6
National Elites Foundation of Iran, Tehran, Iran
7
Center of Applied Space Technology and Microgravity (ZARM), University of Bremen, 28359, Bremen, Germany
* e-mail: hendi@shirazu.ac.ir
Received:
5
February
2020
Accepted:
21
May
2020
Published online:
11
June
2020
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.
© The Author(s), 2020
