Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Cieślik, Adam"'
We develop a relativistic framework of integral quantization applied to the motion of spinless particles in the four-dimensional Minkowski spacetime. The proposed scheme is based on coherent states generated by the action of the Heisenberg-Weyl group
Externí odkaz:
http://arxiv.org/abs/2410.23982
We revisit the theory of timelike and null geodesics in the (extended) Kerr spacetime. This work is a sequel to a recent paper by Cie\'{s}lik, Hackmann, and Mach, who applied the so-called Biermann-Weierstrass formula to integrate Kerr geodesic equat
Externí odkaz:
http://arxiv.org/abs/2409.03722
We perform Monte Carlo simulations of stationary planar accretion of a collisionless gas onto a moving Schwarzschild black hole. In this work -- a sequel to our previous paper on the Monte Carlo method for stationary general-relativistic Vlasov syste
Externí odkaz:
http://arxiv.org/abs/2406.04471
We develop a Monte Carlo simulation method for computing stationary solutions of the general-relativistic Vlasov equation describing a gas of non-colliding particles. As specific examples, we select planar or spherically symmetric accretion models on
Externí odkaz:
http://arxiv.org/abs/2310.07872
We derive novel analytical solutions describing timelike and null geodesics in the Kerr spacetime. The solutions are parameterized explicitly by constants of motion -- the energy, the angular momentum, and the Carter constant -- and initial coordinat
Externí odkaz:
http://arxiv.org/abs/2305.07771
Autor:
Cieślik, Adam, Mach, Patryk
Publikováno v:
Acta Phys. Pol. B Proc. Suppl. 16, 6-A10 (2023)
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 no
Externí odkaz:
http://arxiv.org/abs/2304.12823
We investigate stationary accretion of the collisionless Vlasov gas onto the Kerr black hole, occurring in the equatorial plane. The solution is specified by imposing asymptotic boundary conditions: at infinity the gas obeys the Maxwell-J\"{u}ttner d
Externí odkaz:
http://arxiv.org/abs/2208.04218
Autor:
Cieślik, Adam, Mach, Patryk
The theory of Schwarzschild geodesics is revisited. Basing on a result by Weierstrass and Biermann, we derive a formula describing all non radial, timelike and null trajectories in terms of Weierstrass elliptic functions. Quite remarkably, a single f
Externí odkaz:
http://arxiv.org/abs/2203.12401
Autor:
Cieślik, Adam, Mach, Patryk
Publikováno v:
Phys. Rev. D 102, 024032 (2020)
We investigate stationary spherically symmetric accretion of the relativistic Vlasov gas on Reissner-Nordstr\"{o}m black holes. The model is based on a recent analysis done by Rioseco and Sarbach for the Schwarzschild spacetime. Both models share man
Externí odkaz:
http://arxiv.org/abs/2005.13307
Autor:
Szybka, Sebastian J., Cieślik, Adam
Publikováno v:
Phys. Rev. D 100, 064025 (2019)
We propose a covariant definition of standing gravitational waves in general relativity.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/1901.10285