Analytical expressions for pulse profile of neutron stars in plasma environments

Abstract We present an analytical study of light curves of slowly rotating radio pulsars with emphasis on the chromatic effects derived from the presence of a plasma environment; analyzing the effects of the compactness, the metric model, and the electronic plasma density profile. After doing a nume...

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Main Authors: Gastón Briozzo, Emanuel Gallo
Format: Article
Language:English
Published: SpringerOpen 2023-02-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-11331-2
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author Gastón Briozzo
Emanuel Gallo
author_facet Gastón Briozzo
Emanuel Gallo
author_sort Gastón Briozzo
collection DOAJ
description Abstract We present an analytical study of light curves of slowly rotating radio pulsars with emphasis on the chromatic effects derived from the presence of a plasma environment; analyzing the effects of the compactness, the metric model, and the electronic plasma density profile. After doing a numerical integration of the trajectories and luminosity curves of pulsars for different spherically symmetric metrics representing the exterior region of the pulsar, we generalize the approximate Beloborodov formula in order to include plasma corrections, obtaining simple analytical expressions for the trajectories and the observed flux and significantly simplifying the calculation of the pulse profiles by a drastic reduction of their computational cost. We study the errors committed by our approximation, comparing the numerical and analytical procedures. We also show how to use the new formalism to model the flux coming from different emission caps, not necessarily circular or antipodal and including the case of ring-shaped hot spots. Finally, we extend the classification introduced by Beloborodov to the case of two distinguishable, non-antipodal, finite size emission caps, showing the respective classification maps and some of the characteristic pulse profiles.
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spelling doaj.art-d48d0a2a293c45d6934c3cba116799102023-04-03T05:37:32ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-02-0183212910.1140/epjc/s10052-023-11331-2Analytical expressions for pulse profile of neutron stars in plasma environmentsGastón Briozzo0Emanuel Gallo1FaMAF, UNC, Instituto de Física Enrique Gaviola (IFEG), CONICETFaMAF, UNC, Instituto de Física Enrique Gaviola (IFEG), CONICETAbstract We present an analytical study of light curves of slowly rotating radio pulsars with emphasis on the chromatic effects derived from the presence of a plasma environment; analyzing the effects of the compactness, the metric model, and the electronic plasma density profile. After doing a numerical integration of the trajectories and luminosity curves of pulsars for different spherically symmetric metrics representing the exterior region of the pulsar, we generalize the approximate Beloborodov formula in order to include plasma corrections, obtaining simple analytical expressions for the trajectories and the observed flux and significantly simplifying the calculation of the pulse profiles by a drastic reduction of their computational cost. We study the errors committed by our approximation, comparing the numerical and analytical procedures. We also show how to use the new formalism to model the flux coming from different emission caps, not necessarily circular or antipodal and including the case of ring-shaped hot spots. Finally, we extend the classification introduced by Beloborodov to the case of two distinguishable, non-antipodal, finite size emission caps, showing the respective classification maps and some of the characteristic pulse profiles.https://doi.org/10.1140/epjc/s10052-023-11331-2
spellingShingle Gastón Briozzo
Emanuel Gallo
Analytical expressions for pulse profile of neutron stars in plasma environments
European Physical Journal C: Particles and Fields
title Analytical expressions for pulse profile of neutron stars in plasma environments
title_full Analytical expressions for pulse profile of neutron stars in plasma environments
title_fullStr Analytical expressions for pulse profile of neutron stars in plasma environments
title_full_unstemmed Analytical expressions for pulse profile of neutron stars in plasma environments
title_short Analytical expressions for pulse profile of neutron stars in plasma environments
title_sort analytical expressions for pulse profile of neutron stars in plasma environments
url https://doi.org/10.1140/epjc/s10052-023-11331-2
work_keys_str_mv AT gastonbriozzo analyticalexpressionsforpulseprofileofneutronstarsinplasmaenvironments
AT emanuelgallo analyticalexpressionsforpulseprofileofneutronstarsinplasmaenvironments