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Article: Radiation transport equations in non-Riemannian space-times

TitleRadiation transport equations in non-Riemannian space-times
Authors
KeywordsPhysics - nuclear physics
Issue Date2005
PublisherAmerican Physical Society. The Journal's web site is located at http://prd.aps.org
Citation
Physical Review D (Particles, Fields, Gravitation and Cosmology), 2005, v. 71 n. 10, p. 103001:1-11 How to Cite?
AbstractThe transport equations for polarized radiation transfer in non-Riemannian, Weyl-Cartan type space-times are derived, with the effects of both torsion and nonmetricity included. To obtain the basic propagation equations we use the tangent bundle approach. The equations describing the time evolution of the Stokes parameters, of the photon distribution function and of the total polarization degree can be formulated as a system of coupled first-order partial differential equations. As an application of our results we consider the propagation of the cosmological gamma-ray bursts in spatially homogeneous and isotropic spaces with torsion and nonmetricity. For this case the exact general solution of the equation for the polarization degree is obtained, with the effects of the torsion and nonmetricity included. The presence of a non-Riemannian geometrical background in which the electromagnetic fields couple to torsion and/or nonmetricity affect the polarization of photon beams. Consequently, we suggest that the observed polarization of prompt cosmological gamma-ray bursts and of their optical afterglows may have a propagation effect component, due to a torsion/nonmetricity induced birefringence of the vacuum. A cosmological redshift and frequency dependence of the polarization degree of gamma-ray bursts also follows from the model, thus providing a clear observational signature of the torsional/nonmetric effects. On the other hand, observations of the polarization of the gamma-ray bursts can impose strong constraints on the torsion and nonmetricity and discriminate between different theoretical models.
Persistent Identifierhttp://hdl.handle.net/10722/43155
ISSN
2014 Impact Factor: 4.643
2015 SCImago Journal Rankings: 1.882
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorCheng, KSen_HK
dc.contributor.authorHarko, TCen_HK
dc.contributor.authorWang, XYen_HK
dc.date.accessioned2007-03-23T04:40:17Z-
dc.date.available2007-03-23T04:40:17Z-
dc.date.issued2005en_HK
dc.identifier.citationPhysical Review D (Particles, Fields, Gravitation and Cosmology), 2005, v. 71 n. 10, p. 103001:1-11en_HK
dc.identifier.issn1550-7998en_HK
dc.identifier.urihttp://hdl.handle.net/10722/43155-
dc.description.abstractThe transport equations for polarized radiation transfer in non-Riemannian, Weyl-Cartan type space-times are derived, with the effects of both torsion and nonmetricity included. To obtain the basic propagation equations we use the tangent bundle approach. The equations describing the time evolution of the Stokes parameters, of the photon distribution function and of the total polarization degree can be formulated as a system of coupled first-order partial differential equations. As an application of our results we consider the propagation of the cosmological gamma-ray bursts in spatially homogeneous and isotropic spaces with torsion and nonmetricity. For this case the exact general solution of the equation for the polarization degree is obtained, with the effects of the torsion and nonmetricity included. The presence of a non-Riemannian geometrical background in which the electromagnetic fields couple to torsion and/or nonmetricity affect the polarization of photon beams. Consequently, we suggest that the observed polarization of prompt cosmological gamma-ray bursts and of their optical afterglows may have a propagation effect component, due to a torsion/nonmetricity induced birefringence of the vacuum. A cosmological redshift and frequency dependence of the polarization degree of gamma-ray bursts also follows from the model, thus providing a clear observational signature of the torsional/nonmetric effects. On the other hand, observations of the polarization of the gamma-ray bursts can impose strong constraints on the torsion and nonmetricity and discriminate between different theoretical models.en_HK
dc.format.extent162389 bytes-
dc.format.extent122136 bytes-
dc.format.extent12158 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypetext/plain-
dc.languageengen_HK
dc.publisherAmerican Physical Society. The Journal's web site is located at http://prd.aps.orgen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsPhysical Review D (Particles, Fields, Gravitation and Cosmology). Copyright © American Physical Society.en_HK
dc.subjectPhysics - nuclear physicsen_HK
dc.titleRadiation transport equations in non-Riemannian space-timesen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1550-7998&volume=71&issue=10&spage=103001:1&epage=11&date=2005&atitle=Radiation+transport+equations+in+non-Riemannian+space-timesen_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1103/PhysRevD.71.103001en_HK
dc.identifier.hkuros100852-
dc.identifier.isiWOS:000229440400003-

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