### Abstract

Certain exact properties of the stationary force-free magnetosphere of an axisymmetric pulsar are obtained. In particular, it is shown that a magnetic separatrix has an inclination angle of 77.3° to the equatorial plane. The electromagnetic field has an R^{-1/2} singularity inside the separatrix near the light cylinder. A numerical simulation of the magnetosphere which crudely reproduces these properties is presented. The numerical results are used to estimate the power of an axisymmetric pulsar: L = (1 ± 0.1)μ^{2}Ω^{4}/c^{3}. Thus, the background magnetic configuration, on which all the puzzling pulsar phenomena are taking place, is now known with some confidence.

Original language | English (US) |
---|---|

Article number | 021101 |

Journal | Physical Review Letters |

Volume | 94 |

Issue number | 2 |

DOIs | |

State | Published - Jan 21 2005 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physical Review Letters*,

*94*(2), [021101]. https://doi.org/10.1103/PhysRevLett.94.021101

**Power of an axisymmetric pulsar.** / Gruzinov, Andrei.

Research output: Contribution to journal › Article

*Physical Review Letters*, vol. 94, no. 2, 021101. https://doi.org/10.1103/PhysRevLett.94.021101

}

TY - JOUR

T1 - Power of an axisymmetric pulsar

AU - Gruzinov, Andrei

PY - 2005/1/21

Y1 - 2005/1/21

N2 - Certain exact properties of the stationary force-free magnetosphere of an axisymmetric pulsar are obtained. In particular, it is shown that a magnetic separatrix has an inclination angle of 77.3° to the equatorial plane. The electromagnetic field has an R-1/2 singularity inside the separatrix near the light cylinder. A numerical simulation of the magnetosphere which crudely reproduces these properties is presented. The numerical results are used to estimate the power of an axisymmetric pulsar: L = (1 ± 0.1)μ2Ω4/c3. Thus, the background magnetic configuration, on which all the puzzling pulsar phenomena are taking place, is now known with some confidence.

AB - Certain exact properties of the stationary force-free magnetosphere of an axisymmetric pulsar are obtained. In particular, it is shown that a magnetic separatrix has an inclination angle of 77.3° to the equatorial plane. The electromagnetic field has an R-1/2 singularity inside the separatrix near the light cylinder. A numerical simulation of the magnetosphere which crudely reproduces these properties is presented. The numerical results are used to estimate the power of an axisymmetric pulsar: L = (1 ± 0.1)μ2Ω4/c3. Thus, the background magnetic configuration, on which all the puzzling pulsar phenomena are taking place, is now known with some confidence.

UR - http://www.scopus.com/inward/record.url?scp=18144378102&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=18144378102&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.94.021101

DO - 10.1103/PhysRevLett.94.021101

M3 - Article

VL - 94

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 2

M1 - 021101

ER -