The Riemann-Silberstein vector in the Dirac algebra

Hacyan, Shahen

doi:10.31349/revmexfis.65.65

Cited by 3 publications

(2 citation statements)

References 6 publications

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“…Recent studies (Hacyan 2017;Nazari & Roshan 2020;Contopoulos et al 2023) investigate the gravitational radiation emitted by a purely dipolar bar magnet rotating in vacuo about an axis inclined to its magnetic axis. They find that 0.0 0.5 1.0 1.5 2.0 2.5 3.0 the B 2 contribution is generally low but may be detectable by future-generation gravitational-wave detectors in the case of highly-magnetised fast-spinning neutron stars.…”

Section: Purely Magnetic Ellipticitymentioning

confidence: 99%

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Magnetically confined mountains on accreting neutron stars in general relativity

Rossetto,

Frauendiener,

Brunet

et al. 2023

Monthly Notices of the Royal Astronomical Society

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The general relativistic formulation of the problem of magnetically confined mountains on neutron stars is presented, and the resulting equations are solved numerically, generalizing previous Newtonian calculations. The hydromagnetic structure of the accreted matter and the subsequent magnetic burial of the star’s magnetic dipole moment are computed. Overall, it is observed that relativistic corrections reduce the hydromagnetic deformation associated with the mountain. The magnetic field lines are curved more gently than in previous calculations, and the screening of the dipole moment is reduced. Quantitatively, it is found that the dimensionless dipole moment (md) depends on the accreted mass (Ma) as md = −3.2 × 103Ma/M⊙ + 1.0, implying approximately three times less screening compared to the Newtonian theory. Additionally, the characteristic scale height of the mountain, governing the gradients of quantities like pressure, density, and magnetic field strength, reduces by approximately 40 per cent for an isothermal equation of state.

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Section: Purely Magnetic Ellipticitymentioning

confidence: 99%

“…This value is consistent with the literature, cf. equation ( 13) of Hacyan (2017), equation ( 46) of Nazari & Roshan (2020) for B ∼ 10 12 G, and equation (57) of Contopoulos et al (2023).…”

Section: Purely Magnetic Ellipticitymentioning

confidence: 99%

Magnetically confined mountains on accreting neutron stars in general relativity

Rossetto,

Frauendiener,

Brunet

et al. 2023

Monthly Notices of the Royal Astronomical Society

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Non-null electromagnetic fields

Hacyan¹

2019

Phys. Scr.

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Given a non-null (algebraically general) electromagnetic field, there always exists a (noninertial) reference frame in which there is locally no energy flow. The general form of such a reference frame is obtained in the present paper, and it is shown that the vacuum Maxwell equations can be reduced to a single equation for one complex scalar potential. Some simple illustrative examples, such as Bessel beams and optical vortices, are worked out within this formalism.

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The Electromagnetic Operator of Mass

Maksoud

2023

JAMP

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Studying the source of particle properties is the most important goal for scientists, so it was necessary to use the means available to us, which is physical logic to study these properties. In this paper, you will examine how the type of coordinates in which electromagnetic fields are distributed can have a role in detecting particle properties, specifically using the Riemann-Silberstein vector. Because electromagnetism it deals with electric and magnetic fields together for any electromagnetic sentence, and when we study it according to multiple coordinates and study its derivation by changing coordinates, we discover how the electromagnetic sentences are transformed from one particle to another.

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The Riemann-Silberstein vector in the Dirac algebra

Cited by 3 publications

References 6 publications

Magnetically confined mountains on accreting neutron stars in general relativity

Magnetically confined mountains on accreting neutron stars in general relativity

Non-null electromagnetic fields

The Electromagnetic Operator of Mass

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