Magnetic and electric fields of rotating charge distributions

We have recently developed a neutron star model fulfilling global and not local charge neutrality, both in the static and in the uniformly rotating cases. The model is described by the coupled Einstein-Maxwell-ThomasFermi (EMTF) equations, in which all fundamental interactions are accounted for in the framework of general relativity and relativistic mean field theory. Uniform rotation is introduced following the Hartle's formalism. We show that the use of realistic parameters of rotating neutron stars obtained from numerical integration of the self-consistent axisymmetric general relativistic equations of equilibrium leads to values of the magnetic field and radiation efficiency of pulsars very different from estimates based on fiducial parameters assuming a neutron star mass, M = 1.4 M ⊙ , radius R = 10 km, and moment of inertia, I = 10 45 g cm 2 . In addition, we compare and contrast the magnetic field inferred from the traditional Newtonian rotating magnetic dipole model with respect to the one obtained from its general relativistic analog which takes into due account the effect of the finite size of the source. We apply these considerations to the specific high-magnetic field pulsars class and show that, indeed, all these sources can be described as canonical pulsars driven by the rotational energy of the neutron star, and with magnetic fields lower than the quantum critical field for any value of the neutron star mass.

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“…F( r) = e r F(r), being e r the unit radial vector (Marsh 1982). The magnetic field is thus given by B( r) = B r e r + B θ e θ ,…”

Section: Influence Of the Rotationally Induced Magnetic Fieldmentioning

confidence: 99%

On the Magnetic Field of Pulsars With Realistic Neutron Star Configurations

Belvedere

Rueda

Ruffini

2015

ApJ

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“…Marsh [19] showed that the magnetic field, B s , measured by an inertial observer, due to a simple circular loop of rotating charge, expressed in terms of a cylindrical polar coordinate system, is…”

Section: Discussionmentioning

confidence: 99%

Measuring Electromagnetic Fields in Rotating Frames of Reference

Speake

Ortolan

2020

Universe

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We review the problem of transforming electromagnetic fields between inertial and rotating reference frames. We compare the method of straightforward tensor coordinate transformations adopted by Schiff in his well-known paper of 1939 with the method of Orthogonal Tetrads (OT) that was applied to this problem in 1964 by Irvine. Although both methods are mathematically rigorous, the transformed fields have different forms depending on the method adopted. We emphasize that the OT method is expected to predict the fields that would actually be measured by an observer in a rotating frame of reference. We briefly discuss existing experimental evidence that supports the OT approach, but point out that there appears to be little awareness in the physics community of this problem or its resolution. We use both methods to transform the electrostatic and magnetic fields generated by rotating charged spherical shells from an inertial into a co-rotating system. We also briefly describe how such an arrangement of shells could be used to measure rotation relative to the fixed stars.

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“…al. 18 using the technique developed by Marsh 19 . In particular, for such a rotating system with a period of 10ms we have obtained a magnetic field of order of the critical field near the surface and analyzed the magnetic lines of forces.…”

Section: Discussionmentioning

confidence: 99%

“…In the case of spherical symmetry, F ( r) may be taken as radial (see Marsh 19 ). Writing F ( r) = e r F (r), where e r is the unit radial vector, one has…”

Section: Rotating Nuclear Matter Cores Of Stellar Dimensions In Classmentioning

confidence: 99%

On Magnetic Fields in Rotating Nuclear Matter Cores of Stellar Dimensions

Boshkayev

Rotondo

Ruffini

2012

Int. J. Mod. Phys. Conf. Ser.

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We consider a degenerate globally neutral system of stellar dimensions consisting of Nn neutrons, Np protons and Ne electrons in beta equilibrium. Such a system at nuclear density having mass numbers A ≈ 10 57 can exhibit a charge distribution different from zero. We present the analysis in the framework of classical electrodynamics to investigate the magnetic field induced by this charge distribution when the system is allowed to rotate as a whole rigid body with constant angular velocity around the axis of symmetry.

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Magnetic and electric fields of rotating charge distributions

Cited by 11 publications

References 0 publications

On the Magnetic Field of Pulsars With Realistic Neutron Star Configurations

On the Magnetic Field of Pulsars With Realistic Neutron Star Configurations

Measuring Electromagnetic Fields in Rotating Frames of Reference

On Magnetic Fields in Rotating Nuclear Matter Cores of Stellar Dimensions

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