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Non-Riemmanian geometry, force-free magnetospheres and the generalized Grad-Shafranov equation

2018/10/01 by Diego Julio Cirilo-Lombardo, Cirilo-Lombardo, Diego Julio
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Pulsars and Gravitational Waves Research #Solar and Space Plasma Dynamics

paper · pdf · doi:10.48550/arxiv.1812.04481

openalex publication_date 2018/10/01 · openalex created_date 2022/08/01 · openalex updated_date 2026/07/28

Abstract

The magnetosphere structure of a magnetar is considered in the context of a\ntheory of gravity with dynamical torsion field beyond the standard General\nRelativity (GR). To this end, the axially symmetric version of the\nGrad-Shafranov equation (GSE) is obtained in this theoretical framework. The\nresulting GSE solution in the case of the magnetosphere corresponds to a stream\nfunction containing also a pseudoscalar part. This function solution under\naxisymmetry presents a complex character that (as in the quantum field\ntheoretical case) could be associated with an axidilaton field. Magnetar-pulsar\nmechanism is suggested and the conjecture about the origin of the excess energy\ndue the GSE describing the magnetosphere dynamics is claimed. We also show that\ntwo main parameters of the electrodynamic processes (as described in GR\nframework by Goldreich and Julian (GJ) in 1969 [5]) are modified but the\nelectron-positron pair rate N remains invariant. The possible application of\nour generalized equation (defined in a non-Riemannian geometry) to\nastrophysical scenarios involving emission of energy by gravitational waves, as\ndescribed in the context of GR in [18], is briefly discussed.\n

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