2015
DOI: 10.1093/mnras/stu2626
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General relativistic monopole magnetosphere of neutron stars: a pseudo-spectral discontinuous Galerkin approach

Abstract: The close vicinity of neutron stars remains poorly constrained by observations. Although plenty of data are available for the peculiar class of pulsars we are still unable to deduce the underlying plasma distribution in their magnetosphere. In the present paper, we try to unravel the magnetospheric structure starting from basic physics principles and reasonable assumptions about the magnetosphere. Beginning with the monopole force-free case, we compute accurate general-relativistic solutions for the electromag… Show more

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Cited by 9 publications
(10 citation statements)
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“…The rotation of the neutron star is switched on smoothly as in our previous works, see Pétri (2012Pétri ( , 2014Pétri ( , 2015a. Its spin frequency increases slowly starting from zero.…”
Section: Initial Conditionssupporting
confidence: 55%
See 1 more Smart Citation
“…The rotation of the neutron star is switched on smoothly as in our previous works, see Pétri (2012Pétri ( , 2014Pétri ( , 2015a. Its spin frequency increases slowly starting from zero.…”
Section: Initial Conditionssupporting
confidence: 55%
“…Galerkin methods as exposed in Pétri (2015a). This high-order finite volume method was successfully applied to the monopole and split monopole field in the force-free regime.…”
Section: Numerical Algorithmmentioning
confidence: 99%
“…Vacuum solution are of the Deutsch kind but in general relativity are discussed in Pétri (2013a). The numerical simulations based on a pseudo-spectral code are described in Pétri (2014) and extended to a discontinuous Galerkin approach in Pétri (2015cPétri ( , 2016a. The conclusions drawn from special-relativistic force-free (SRFFE) simulations remain valid and the physics is not changed.…”
Section: Grffementioning
confidence: 99%
“…Since then, these results have been retrieved by several other authors using different numerical approaches like finite difference/finite volume methods [34][35][36] or pseudo-spectral methods [37][38][39]. Even a combined spectral/discontinuous Galerkin method has been tried including general-relativistic effects for a monopole [40] or a dipole [41]. Some extension to dissipative magnetospheres was undertaken by [39,42,43] assuming an ad hoc prescription for the dissipation.…”
Section: Numerical Simulation Of Rotating Magnetospheresmentioning
confidence: 99%