2020
DOI: 10.1016/j.cjph.2020.04.004
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Investigation the geodesic motion of three dimensional rotating black holes

Abstract: We study the geodesic equations in the space-time of neutral Brans-Dicke Dilaton black hole in three dimensions, BTZ black holes and the 2+1 black hole. We use the process of separation of the Hamilton-Jacobi equation to obtain the constants of motion. The whole analytical solution of the geodesic equations in the space-times of the intended black holes are shown completely. Moreover, the geodesic equations are solved in terms of Weierstrass elliptic functions. Furthermore, with use of the analytical solution … Show more

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Cited by 13 publications
(3 citation statements)
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References 41 publications
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“…From a realistic perspective, the stable circular orbits which are between the inner event horizon and middle event horizon can not be observed. However, there are several researchers have admitted the existence of extra event horizons and the bounds orbits among them [55][56][57][58][59][60]. In the Tables 2 and 3, we have performed the details of event horizons and stable circular orbits in terms of different values of β and α for two cases that have been mentioned.…”
Section: Thin Accretion Diskmentioning
confidence: 99%
“…From a realistic perspective, the stable circular orbits which are between the inner event horizon and middle event horizon can not be observed. However, there are several researchers have admitted the existence of extra event horizons and the bounds orbits among them [55][56][57][58][59][60]. In the Tables 2 and 3, we have performed the details of event horizons and stable circular orbits in terms of different values of β and α for two cases that have been mentioned.…”
Section: Thin Accretion Diskmentioning
confidence: 99%
“…Unlike the Schwarzschild and Kerr black holes, the BTZ black hole has a constant curvature which is not singular at origin [31]. For this reason, it has attracted attention and many studies have been conducted on it [32][33][34][35][36][37][38][39][40][41][42][43][44][45]. For example, Achúcarro and Ortiz revisited the BTZ solutions with dimensional reduction techniques [32].…”
Section: Introductionmentioning
confidence: 99%
“…The analytical solutions for many well-known spacetimes i.e. Schwarzschild [22], four-dimensional Schwarzschild de-Sitter [20], higher-dimensional Schwarzschild, Schwarzschild-(anti) de -Sitter, Reissner-Nordstrom and Reissner-Nordstrom-(anti)-de-Sitter [19], Kerr [32], Kerr-de-Sitter [21], Reissner Nordstrom-(anti)-de-Sitter surrounded by regular and exotic matter field [11], three dimensional rotating BH [30], (2+1) dimensional charged BTZ BH [44] and BH in f(R) gravity [45] have been studied previously.…”
Section: Introductionmentioning
confidence: 99%