Exact Faraday rotation in the cylindrical Einstein-Maxwell waves

Arafah, M. R.; Fakioǧlu, S.; Halilsoy, Mustafa

doi:10.1103/physrevd.42.437

Cited by 6 publications

(3 citation statements)

References 9 publications

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“…All the results obtained so far are consistent with the hoop conjecture [302]: black holes with horizons form when and only when a mass M gets compacted into a region whose circumference is C 4πM in every direction 13 .…”

Section: The Hoop Conjecture and Critical Collapsesupporting

confidence: 85%

“…It was found that the polarizations of one GW can be rotated by the other, due to their nonlinear interaction, an analogue of the electromagnetic Faraday rotation. Since then, detailed studies of gravitational Faraday rotation have been carried out in various situations, including Einstein-Maxwell waves [13], rotating cylindrical GWs [259], and more recently, cylindrical gravitational soliton waves [305].…”

Section: Introductionmentioning

confidence: 99%

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Cylindrical systems in general relativity

Бронников

Santos

Wang

2020

Class. Quantum Grav.

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With the arrival of the era of gravitational wave astronomy, the strong gravitational field regime will be explored soon in various aspects. In this article, we provide a general review over cylindrical systems in Einstein's theory of general relativity. In particular, we first review the general properties, both local and global, of several important solutions of Einstein's field equations, including the Levi-Civita and Lewis solutions and their extensions to include the cosmological constant and matter fields, and pay particular attention to properties that represent the generic features of the theory, such as the formation of the observed extragalactic jets and gravitational Faraday rotation. We also review studies of cylindrical wormholes, gravitational collapse and Hoop conjecture, and polarizations of gravitational waves. In addition, by rigorously defining cylindrically symmetric spacetimes, we clarify various (incorrect) claims existing in the literature, regarding to the generality of such spacetimes.

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Section: The Hoop Conjecture and Critical Collapsesupporting

confidence: 85%

Section: Introductionmentioning

confidence: 99%

Cylindrical systems in general relativity

Бронников

Santos

Wang

2020

Class. Quantum Grav.

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“…The main feature on which we concentrate here is the rotation of em polarization vector known as the Faraday effect. Such rotation has been introduced also for the GWs [5][6][7][8]; however, its detection is hampered by the challenge of detecting GWs themselves.…”

Section: Introductionmentioning

confidence: 99%

Search for gravitational waves through the electromagnetic Faraday rotation

Halilsoy

Gürtuğ²

2007

Phys. Rev. D

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A method is given which renders indirect detection of strong gravitational waves possible. This is based on the reflection (collision) of a linearly polarized electromagnetic shock wave from (with) a cross polarized impulsive and shock gravitational waves in accordance with the general theory of relativity. This highly nonlinear process induces a detectable Faraday rotation in the polarization vector of the electromagnetic field.

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Faraday effect of light caused by plane gravitational wave

Shoom

2024

Gen Relativ Gravit

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A gravitational field can cause a rotation of the polarisation vector of light. This phenomenon is known as the gravitational Faraday effect. We study the gravitational Faraday effect of linearly polarised light propagating in the gravitational field of a weak plane gravitational wave (GW) with “$$+$$ + ", “$$\times $$ × ", and elliptical polarisation modes. The corresponding gravitational Faraday rotation angle is proportional to the GW amplitude and to the squared distance traveled by the light and inversely proportional to the GW squared wavelength. The Faraday rotation is maximal if the light propagates along directions perpendicular to the GW propagation and tilted by $$\pi /4$$ π / 4 to the directions of its polarisation. There is no a gravitational Faraday rotation when light and a GW propagate along the same directions, or when light propagates along directions of a GW polarisation. Helicity of an elliptically polarised GW gives cubic order contribution to the Faraday rotation.

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Exact Faraday rotation in the cylindrical Einstein-Maxwell waves

Cited by 6 publications

References 9 publications

Cylindrical systems in general relativity

Cylindrical systems in general relativity

Search for gravitational waves through the electromagnetic Faraday rotation

Faraday effect of light caused by plane gravitational wave

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