New trends in the general relativistic Poynting-Robertson effect modeling
Abstract
The general relativistic Poynting-Robertson (PR) effect is a very important dissipative phenomenon occurring in high-energy astrophysics. Recently, it has been proposed a new model, which upgrades the two-dimensional (2D) description in the three-dimensional (3D) case in Kerr spacetime. The radiation field is considered as constituted by photons emitted from a rigidly rotating spherical source around the compact object. Such dynamical system admits the existence of a critical hypersurface, region where the gravitational and radiation forces balance and the matter reaches it at the end of its motion. Selected test particle orbits are displayed. We show how to prove the stability of these critical hypersurfaces within the Lyapunov theory. Then, we present how to study such effect under the Lagrangian formalism, explaining how to analytically derive the Rayleigh potential for the radiation force. In conclusion, further developments and future projects are discussed.
Keywords
Cite
@article{arxiv.2303.15037,
title = {New trends in the general relativistic Poynting-Robertson effect modeling},
author = {Vittorio De Falco},
journal= {arXiv preprint arXiv:2303.15037},
year = {2023}
}
Comments
15 pages; 4 figures; contributions in the book "Einstein Equations: Local Energy, Self-Force, and Fields in General Relativity - Domoschool 2019" edited by Sergio Luigi Cacciatori Alexander Kamenshchik,2022, Birk\"auser. arXiv admin note: substantial text overlap with arXiv:2006.01462, arXiv:1911.03649