Research Article
Some Analytical Grad-Shafranov Solutions in General Relativity: The Separation of Variables and the azimuthal-Angle Dependence
Received Date: November 27, 2023; Published Date: January 22, 2024
Abstract
Some new GrisShafranov solutions of spherically symmetric stationary space- times in General Relativity are analytically written in the chosen validity range. The Grad-Shafranov equations are proven to be solved at different orders of the powers of the grr component of the metric tensor for the Schwarzschild space- time, and for the generalized Schwarzschild spacetimes (i.e. the Schwarzschild spacetimes with a linear term, the Schwarzschild spacetimes with a cosmological constant, the Schwarzschild spacetimes with a linear term and a cosmological constant, the Mannheim-Kazanas-inspired spacetimes, the Bardeen-inspired spacetimes, etc.).
The assumption of separation of variables is newly formulated. The new General-Relativistic characterization and the new Astrophysical qualifications are outlined.
-
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
