Timelike and null geodesics in the Schwarzschild space-time: Analytical solutions
arXiv:2304.12823 · doi:10.5506/APhysPolBSupp.16.6-A10
Abstract
The theory of Schwarzschild geodesics is revisited. Using a theorem due to Weierstrass and Biermann, we derive concise formulas describing all timelike and null trajectories in terms of Weierstrass elliptic functions. The formulation given in this note uses an analogue of the so-called Mino time.
10 pages, 0 figures
References in corpus (6)
- Accretion of Dark Matter onto a Moving Schwarzschild Black Hole: An Exact Solution
- Accretion of the Vlasov gas on Reissner-Nordström black holes
- Accretion of the relativistic Vlasov gas in the equatorial plane of the Kerr black hole
- Accretion of a Vlasov gas on to a black hole from a sphere of finite radius and the role of angular momentum
- Revisiting timelike and null geodesics in the Schwarzschild spacetime: general expressions in terms of Weierstrass elliptic functions
- Kinetic gas disks surrounding Schwarzschild black holes