Fermat Principle and weak deflection angle from Lindstedt-Poincare method

Autor:	Piwnik, Joanna, Gonera, Joanna, Kosinski, Piotr
Rok vydání:	2024
Předmět:	General Relativity and Quantum Cosmology Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	The Fermat principle is advocated to be a convenient tool to analyze the light propagation in a curved space time. It is shown that in the weak deflection regime the light ray trajectories can be systematically described by applying the Lindstedt--Poicare method of solving perturbatively the nonlinear oscillation equations. The expansion in terms of inverse invariant impact parameter for Schwarzschild, Reissner--Nordstr\"om and Kerr (equatorial motion) metrics is described. The corresponding deflection angles are computed to the third order. Only algebraic operations are involved in the derivation; no integrations or Fourier expansion of elliptic functions are necessary. Comment: 27 pages, 13 figures, new version considerably extended
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.14462 Zobrazit plný text záznamu View this record from Arxiv