Rotation and pseudo-rotation

Mitskievich, Nikolai V.; Vargas-Rodríguez, Héctor

doi:10.1007/s10714-005-0062-7

Cited by 3 publications

(11 citation statements)

References 8 publications

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“…Mitskievich et al [37] investigated Berry's phase shift of a monochromatic EM wave beam in a plane monochromatic GW field, and it is shown that (a) For parallel the propagating GW and EM wave, the phase shift is absent. (b) When the both waves are mutually orthogonal, the nonvanishing phase shift will be produced, and the phase shift is proportional to the distance propagated by the EM wave (see, Eq.…”

Section: Tional Wavesmentioning

confidence: 99%

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Electromagnetic response of a Gaussian beam to high-frequency relic gravitational waves in quintessential inflationary models

2003

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Maximal signal and peak of high-frequency relic gravitational waves (GW's), recently expected by quintessential inflationary models, may be firmly localized in the GHz region, the energy density of the relic gravitons in critical units (i.e., h 2 0 Ω GW ) is of the order 10 −6 , roughly eight orders of magnitude larger than in ordinary inflationary models. This is just right best frequency band of the electromagnetic (EM) response to the high-frequency GW's in smaller EM detecting systems. We consider the EM response of a Gaussian beam passing through a static magnetic field to a high-frequency relic GW. It is found that under the synchroresonance condition, the first-order perturbative EM power fluxes will contain "left circular wave" and "right circular wave" around the symmetrical axis of the Gaussian beam, but the perturbative effects produced by the states of + polarization and × polarization of the relic GW have different properties, and the perturbations on behavior are obviously different from that of the background EM fields in the local regions. For the high-frequency relic GW with the typical parameters ν g = 10 10 Hz, h = 10 −30 in the quintessential inflationary models, the corresponding perturbative photon flux passing through the region 10 −2 m 2 would be expected to be 10 3 s −1 . This is largest perturbative photon flux we recently analyzed and estimated using the typical laboratory parameters. In addition, we also discuss geometrical phase shift generated by the high-frequency relic GW in the Gaussian beam and estimate possible physical effects.

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Section: Tional Wavesmentioning

confidence: 99%

“…(66)-(68), we list the some typical parameters in Table IV. We can see from Table IV that scheme (a) has typical parameters of the expected astronomical GW's [see analysis in Ref. [37] and Eqs. (60)-(68)], and Λ = 2.5 × 10 4 , ∆α = 2.4 × 10 −18 .…”

Section: Tional Wavesmentioning

confidence: 99%

Electromagnetic response of a Gaussian beam to high-frequency relic gravitational waves in quintessential inflationary models

2003

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“…This tetrad has a singularity at the horizon (∆ = 0), but this is only a singularity of the basis and the coordinate system [32]. We consider a family of locally non-rotating observers around the Kerr black hole; these observers are not rotating relative to the local spacetime geometry, see exercise 33.3 in [25].…”

Section: Locally Non-rotating Observers In Kerr Spacetimementioning

confidence: 99%

“…In order to see the nature of the electromagnetic field around the black hole we also present graphics of the function ξ, according to which the electromagnetic field is of the pure magnetic type if ξ < 1, of the pure null type if ξ = 1 and of the pure electric type if ξ > 1, see eq. (32). Since these configurations are stationary ones, they may model the final evolution stages of accretion disks around black holes, once the infalling matter supply has been depleted.…”

Section: Pure Fieldsmentioning

confidence: 99%

“…The profiles of revolution of the current density, in the locally non-rotating reference frame, (38), are presented in Figure 1, while those of the charge density, (37) are shown in Figure 3. The nature of the electromagnetic field (its type) is shown using the profiles of revolution of the function ξ: pure magnetic field corresponds to lines where ξ < 0, pure null field to lines where ξ = 0 and pure electric field to those lines where ξ > 1, see (32). The light surface ξ = 1, with electromagnetic fields rotating at the speed of light, is displayed in Figure 5.…”

Section: Pure Fieldsmentioning

confidence: 99%

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Vanishing Poynting observers and electromagnetic field classification in Kerr and Kerr-Newman spacetimes

Vargas-Rodríguez¹,

Rosu²,

Medina-Guevara³

et al. 2022

Preprint

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We consider electromagnetic fields having an angular momentum density in a locally non-rotating reference frame in Schwarzschild, Kerr, and Kerr-Newman spacetimes. The state of motion of such fields is assessed with two families of observers, the locally non-rotating ones and those of vanishing Poynting vector comoving with the fields. The examples of relevance in astrophysics and general relativity, such as pure rotating dipolar-like magnetic fields and the electromagnetic field of the Kerr-Newman solution. For the latter example, using Carter observers, we find that the electromagnetic energy is comoving with the gravitational super-energy, which confirms and extends results reported by other authors.

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Vanishing Poynting Observers and Electromagnetic Field Classification in Kerr and Kerr-Newman Spacetimes

Vargas-Rodríguez

Rosu

Guevara

et al. 2022

Advances in High Energy Physics

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We consider electromagnetic fields having an angular momentum density in a locally nonrotating reference frame in Schwarzschild, Kerr, and Kerr-Newman spacetimes. The nature of such fields is assessed with two families of observers, the locally nonrotating ones and those of vanishing Poynting flux. The velocity fields of the vanishing-Poynting observers in the locally nonrotating reference frames are determined using the 3 + 1 decomposition formalism. From a methodological point of view and considering a classification of the electromagnetic field based on its invariants, it is convenient to separate the consideration of the vanishing-Poynting observers into two cases corresponding to the pure and nonpure fields; additionally, if there are regions where the field rotates with the speed of light (light surfaces), it becomes necessary to split these observers into two subfamilies. We present several examples of relevance in astrophysics and general relativity, such as pure rotating dipolar-like magnetic fields and the electromagnetic field of the Kerr-Newman solution. For the latter example, we see that vanishing-Poynting observers also measure a vanishing super-Poynting vector, confirming recent results in the literature. Finally, for all nonnull electromagnetic fields, we present the 4-velocity fields of vanishing Poynting observers in an arbitrary spacetime.

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Rotation and pseudo-rotation

Cited by 3 publications

References 8 publications

Electromagnetic response of a Gaussian beam to high-frequency relic gravitational waves in quintessential inflationary models

Electromagnetic response of a Gaussian beam to high-frequency relic gravitational waves in quintessential inflationary models

Vanishing Poynting observers and electromagnetic field classification in Kerr and Kerr-Newman spacetimes

Vanishing Poynting Observers and Electromagnetic Field Classification in Kerr and Kerr-Newman Spacetimes

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