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

The magnetosphere structure of a magnetar is considered in the context of a theory of gravity with dynamical torsion field beyond the standard General Relativity (GR). To this end, the axially symmetric version of the Grad-Shafranov equation (GSE) is obtained in this theoretical framework. The resul...

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Autor principal: Cirilo-Lombardo, D.J.
Formato: JOUR
Materias:
Grad-Shafranov equation
Magnetar model
Magnetosphere dynamics
Non-Riemannian geometry
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_02198878_v16_n1_p_CiriloLombardo
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_02198878_v16_n1_p_CiriloLombardo2023-10-03T15:11:12Z Non-Riemmanian geometry, force-free magnetospheres and the generalized Grad-Shafranov equation Cirilo-Lombardo, D.J. Grad-Shafranov equation Magnetar model Magnetosphere dynamics Non-Riemannian geometry The magnetosphere structure of a magnetar is considered in the context of a theory of gravity with dynamical torsion field beyond the standard General Relativity (GR). To this end, the axially symmetric version of the Grad-Shafranov equation (GSE) is obtained in this theoretical framework. The resulting GSE solution in the case of the magnetosphere corresponds to a stream function containing also a pseudoscalar part. This function solution under axisymmetry presents a complex character that (as in the quantum field theoretical case) could be associated with an axidilaton field. Magnetar-pulsar mechanism is suggested and the conjecture about the origin of the excess energy due the GSE describing the magnetosphere dynamics is claimed. We also show that two main parameters of the electrodynamic processes (as described in GR framework by Goldreich and Julian (GJ) [Astrophys. J. 157 (1969) 869]) are modified but the electron-positron pair rate remains invariant. The possible application of our generalized equation (defined in a non-Riemannian geometry) to astrophysical scenarios involving emission of energy by gravitational waves, as described in the context of GR in [S. Capozziello, M. De Laurentis, I. De Martino, M. Formisano and D. Vernieri, Astrophys. Space Sci. 333 (2011) 29-35], is briefly discussed. © 2019 World Scientific Publishing Company. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_02198878_v16_n1_p_CiriloLombardo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Grad-Shafranov equation
Magnetar model
Magnetosphere dynamics
Non-Riemannian geometry
spellingShingle Grad-Shafranov equation
Magnetar model
Magnetosphere dynamics
Non-Riemannian geometry
Cirilo-Lombardo, D.J.
Non-Riemmanian geometry, force-free magnetospheres and the generalized Grad-Shafranov equation
topic_facet Grad-Shafranov equation
Magnetar model
Magnetosphere dynamics
Non-Riemannian geometry
description The magnetosphere structure of a magnetar is considered in the context of a theory of gravity with dynamical torsion field beyond the standard General Relativity (GR). To this end, the axially symmetric version of the Grad-Shafranov equation (GSE) is obtained in this theoretical framework. The resulting GSE solution in the case of the magnetosphere corresponds to a stream function containing also a pseudoscalar part. This function solution under axisymmetry presents a complex character that (as in the quantum field theoretical case) could be associated with an axidilaton field. Magnetar-pulsar mechanism is suggested and the conjecture about the origin of the excess energy due the GSE describing the magnetosphere dynamics is claimed. We also show that two main parameters of the electrodynamic processes (as described in GR framework by Goldreich and Julian (GJ) [Astrophys. J. 157 (1969) 869]) are modified but the electron-positron pair rate remains invariant. The possible application of our generalized equation (defined in a non-Riemannian geometry) to astrophysical scenarios involving emission of energy by gravitational waves, as described in the context of GR in [S. Capozziello, M. De Laurentis, I. De Martino, M. Formisano and D. Vernieri, Astrophys. Space Sci. 333 (2011) 29-35], is briefly discussed. © 2019 World Scientific Publishing Company.
format JOUR
author Cirilo-Lombardo, D.J.
author_facet Cirilo-Lombardo, D.J.
author_sort Cirilo-Lombardo, D.J.
title Non-Riemmanian geometry, force-free magnetospheres and the generalized Grad-Shafranov equation
title_short Non-Riemmanian geometry, force-free magnetospheres and the generalized Grad-Shafranov equation
title_full Non-Riemmanian geometry, force-free magnetospheres and the generalized Grad-Shafranov equation
title_fullStr Non-Riemmanian geometry, force-free magnetospheres and the generalized Grad-Shafranov equation
title_full_unstemmed Non-Riemmanian geometry, force-free magnetospheres and the generalized Grad-Shafranov equation
title_sort non-riemmanian geometry, force-free magnetospheres and the generalized grad-shafranov equation
url http://hdl.handle.net/20.500.12110/paper_02198878_v16_n1_p_CiriloLombardo
work_keys_str_mv AT cirilolombardodj nonriemmaniangeometryforcefreemagnetospheresandthegeneralizedgradshafranovequation
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