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

authored by: S. H. Hendi, A. M. Tavakkoli, S. Panahiyan, B. Eslam Panah, E. Hackmann
Abstract: 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.
External Organisation(s): Shiraz University
Canadian Quantum Research Center (CQRC)
Helmholtz Institute Jena
GSI Helmholtz Centre for Heavy Ion Research
Iran's National Elites Foundation (INEF)
University of Bremen
Type: Article
Journal: European Physical Journal C
Volume: 80
ISSN: 1434-6044
Publication date: 01.06.2020
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Engineering (miscellaneous), Physics and Astronomy (miscellaneous)
Electronic version(s): https://doi.org/10.1140/epjc/s10052-020-8065-9 (Access: Open)

BibTeX

@article{3fff25e459034281a271b80712d59717,
title = "Simulation of geodesic trajectory of charged BTZ black holes in massive gravity",
abstract = "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.",
author = "Hendi, {S. H.} and Tavakkoli, {A. M.} and S. Panahiyan and Panah, {B. Eslam} and E. Hackmann",
note = "Funding information: We would like to thank the anonymous referee for constructive comments. We also thank Shiraz University Research Council. BEP thanks National Elites Foundation of Iran. E.H. is grateful for support from the Research Training Group RTG-1620 Models of Gravity, and the Cluster of Excellence EXC-2123 QuantumFrontiers—390837967, both funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation). We would like to thank the anonymous referee for constructive comments. We also thank Shiraz University Research Council. BEP thanks National Elites Foundation of Iran. E.H. is grateful for support from the Research Training Group RTG-1620 Models of Gravity, and the Cluster of Excellence EXC-2123 QuantumFrontiers?390837967, both funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation).",
year = "2020",
month = jun,
day = "1",
doi = "10.1140/epjc/s10052-020-8065-9",
language = "English",
volume = "80",
journal = "European Physical Journal C",
issn = "1434-6044",
publisher = "Springer New York",
number = "6",
}