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General-relativistic electromagnetic fields around a slowly rotating neutron star: time-dependent pseudo-spectral simulations
High Energy Astrophysical Phenomena · Submitted 7 Jan 2014
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Stationary solutions are readily obtained and compared to semi-analytical calculations.
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The abstract, sentence by sentence
Pulsars are believed to loose their rotational kinetic energy primarily by a large amplitude low frequency electromagnetic wave which is eventually converted into particle creation, acceleration and followed by a broad band radiation spectrum. To date, there exist no detailed calculation of the exact spin-down luminosity with respect to the neutron star magnetic moment and spin frequency, including general-relativistic effects. Estimates are usually given according to the flat spacetime magnetodipole formula. The present paper pursue our effort to look for accurate solutions of the general-relativistic electromagnetic field around a slowly rotating magnetized neutron star. In a previous work, we already found approximate stationary solutions to this problem. Here we address again this problem but using a more general approach. We indeed solve the full set of time-dependent Maxwell equations in a curved vacuum space-time following the 3+1 formalism. The numerical code is based on our pseudo-spectral method exposed in a previous paper for flat space-time. We adapted it to an arbitrary fixed background metric. Stationary solutions are readily obtained and compared to semi-analytical calculations.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Pulsars are believed to loose their rotational kinetic energy primarily by a large amplitude low frequency electromagnetic wave which is eventually converted into particle creation, acceleration and followed by a broad band radiation spectrum. | background 1.00 | 0.04 | 0.04 | hedged possibility 0.87 |
| s1 | To date, there exist no detailed calculation of the exact spin-down luminosity with respect to the neutron star magnetic moment and spin frequency, including general-relativistic effects. | gap 1.00 | 0.06 | 0.04 | asserted 1.00 |
| s2 | Estimates are usually given according to the flat spacetime magnetodipole formula. | background 0.95 | 0.04 | 0.02 | asserted 0.99 |
| s3 | The present paper pursue our effort to look for accurate solutions of the general-relativistic electromagnetic field around a slowly rotating magnetized neutron star. | contribution 0.98 | 0.58 | 0.05 | asserted 0.87 |
| s4 | In a previous work, we already found approximate stationary solutions to this problem. | background 0.88 | 0.88 | 0.02 | asserted 1.00 |
| s5 | Here we address again this problem but using a more general approach. | contribution 0.79 | 0.55 | 0.03 | asserted 0.95 |
| s6 | We indeed solve the full set of time-dependent Maxwell equations in a curved vacuum space-time following the 3+1 formalism. | method 0.82 | 0.94 | 0.09 | asserted 1.00 |
| s7 | The numerical code is based on our pseudo-spectral method exposed in a previous paper for flat space-time. | method 1.00 | 0.67 | 0.02 | asserted 1.00 |
| s8 | We adapted it to an arbitrary fixed background metric. | method 0.96 | 0.90 | 0.03 | asserted 1.00 |
| s9 | Stationary solutions are readily obtained and compared to semi-analytical calculations. | result 0.50 | 0.85 | 0.11 | asserted 0.95 |
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Original abstract
Pulsars are believed to loose their rotational kinetic energy primarily by a large amplitude low frequency electromagnetic wave which is eventually converted into particle creation, acceleration and followed by a broad band radiation spectrum. To date, there exist no detailed calculation of the exact spin-down luminosity with respect to the neutron star magnetic moment and spin frequency, including general-relativistic effects. Estimates are usually given according to the flat spacetime magnetodipole formula. The present paper pursue our effort to look for accurate solutions of the general-relativistic electromagnetic field around a slowly rotating magnetized neutron star. In a previous work, we already found approximate stationary solutions to this problem. Here we address again this problem but using a more general approach. We indeed solve the full set of time-dependent Maxwell equations in a curved vacuum space-time following the 3+1 formalism. The numerical code is based on our pseudo-spectral method exposed in a previous paper for flat space-time. We adapted it to an arbitrary fixed background metric. Stationary solutions are readily obtained and compared to semi-analytical calculations.
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