### Abstract

We study the magnetosphere of a slowly rotating magnetized neutron star with radius R and angular velocity Ω subject to toroidal oscillations in the relativistic regime. Under the assumption of a zero inclination angle between the magnetic moment and the angular momentum of the star, we analyse the Goldreich-Julian charge density and derive a second-order differential equation for the electrostatic potential. The analytical solution of this equation in the polar cap region of the magnetosphere shows the modification induced by stellar toroidal oscillations on the accelerating electric field and on the charge density. We also find that, after decomposing the oscillation velocity in terms of spherical harmonics, the first few modes with m = 0, 1 are responsible for energy losses that are almost linearly dependent on the amplitude of the oscillation and that, for the mode (l, m) = (2, 1), can be a factor ∼ 8 larger than the rotational energy losses, even for a velocity oscillation amplitude at the star surface as small as η = 0.05 Ω R. We revisit particle acceleration in the polar cap region of a neutron star by taking into account both general relativistic effects and the presence of toroidal oscillations at the star surface.

Original language | English (US) |
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Title of host publication | 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings |

Editors | Massimo Bianchi, Robert T Jantzen, Remo Ruffini, Remo Ruffini |

Publisher | World Scientific Publishing Co. Pte Ltd |

Pages | 4087-4094 |

Number of pages | 8 |

ISBN (Electronic) | 9789813226593 |

DOIs | |

State | Published - 2018 |

Event | 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Rome, Italy Duration: Jul 12 2015 → Jul 18 2015 |

### Publication series

Name | 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings |
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### Conference

Conference | 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories |
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Country | Italy |

City | Rome |

Period | 7/12/15 → 7/18/15 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics
- Astronomy and Astrophysics

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## Cite this

*14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings*(pp. 4087-4094). (14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings). World Scientific Publishing Co. Pte Ltd. https://doi.org/10.1142/9789813226609_0546