Similarity Inner Solutions for the Pulsar Equation
High Energy Astrophysical Phenomena
2020-02-19 v1 Instrumentation and Methods for Astrophysics
General Relativity and Quantum Cosmology
Mathematical Physics
Analysis of PDEs
math.MP
Abstract
Lie symmetries are applied to classify the source of the magnetic field for the Pulsar equation near to the surface of the neutron star. We find that there are six possible different admitted Lie algebras. We apply the corresponding Lie invariants to reduce the Pulsar equation close to the surface to an ordinary differential equation. This equation is solved either with the use of Lie symmetries or the application of the ARS algorithm for singularity analysis to write the analytic solution as a Laurent expansion. These solutions are called inner solutions.
Keywords
Cite
@article{arxiv.1909.08521,
title = {Similarity Inner Solutions for the Pulsar Equation},
author = {Andronikos Paliathanasis},
journal= {arXiv preprint arXiv:1909.08521},
year = {2020}
}
Comments
11 pages, 2 figures, accepted for publication by Mathematical Methods in the Applied Science