About: Higher-dimensional Kundt waves and gyratons     Goto   Sponge   NotDistinct   Permalink

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Description
  • We present and analyze exact solutions of the Einstein-Maxwell equations in higher dimensions which form a large subclass of the Kundt family of spacetimes. We assume that the cosmological constant may be nonvanishing, and the matter consists of a background aligned electromagnetic field and an additional pure radiation (gyratonic) field with a spin. We show that the field equations reduce to a set of linear equations on the transverse space which can be solved exactly and expressed in terms of the Green functions. We thus find explicit exact gyratonic gravitational and electromagnetic fields created by a radiation beam of null matter with arbitrary profiles of energy density and angular momenta. In the absence of the gyratonic matter we obtain pure nonexpanding higher-dimensional gravitational waves. In particular, we investigate gyratons and waves propagating on backgrounds which are a direct product of two-spaces of constant curvature. Such type D or 0 background spacetimes generalize four-dimensional Nariai, anti-Nariai, and Plebanski-Hacyan universes, and conformally flat Bertotti-Robinson and Minkowski spaces. These spacetimes belong to a wider class of spaces which admit the Kahler structure related to the background magnetic field. The obtained wave and gyraton solutions are also members of the recently discussed class of spacetimes with constant scalar invariants of the curvature tensor.
  • We present and analyze exact solutions of the Einstein-Maxwell equations in higher dimensions which form a large subclass of the Kundt family of spacetimes. We assume that the cosmological constant may be nonvanishing, and the matter consists of a background aligned electromagnetic field and an additional pure radiation (gyratonic) field with a spin. We show that the field equations reduce to a set of linear equations on the transverse space which can be solved exactly and expressed in terms of the Green functions. We thus find explicit exact gyratonic gravitational and electromagnetic fields created by a radiation beam of null matter with arbitrary profiles of energy density and angular momenta. In the absence of the gyratonic matter we obtain pure nonexpanding higher-dimensional gravitational waves. In particular, we investigate gyratons and waves propagating on backgrounds which are a direct product of two-spaces of constant curvature. Such type D or 0 background spacetimes generalize four-dimensional Nariai, anti-Nariai, and Plebanski-Hacyan universes, and conformally flat Bertotti-Robinson and Minkowski spaces. These spacetimes belong to a wider class of spaces which admit the Kahler structure related to the background magnetic field. The obtained wave and gyraton solutions are also members of the recently discussed class of spacetimes with constant scalar invariants of the curvature tensor. (en)
Title
  • Higher-dimensional Kundt waves and gyratons
  • Higher-dimensional Kundt waves and gyratons (en)
skos:prefLabel
  • Higher-dimensional Kundt waves and gyratons
  • Higher-dimensional Kundt waves and gyratons (en)
skos:notation
  • RIV/00216208:11320/12:10128280!RIV13-GA0-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA202/09/0772), P(GAP203/12/0118), P(GD205/09/H033)
http://linked.open...iv/cisloPeriodika
  • 4
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 138994
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/12:10128280
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • spaces; sitter; constant; particles; invariants; spacetimes; kerr geometry; gravitational-field (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [A01CF2D98A10]
http://linked.open...i/riv/nazevZdroje
  • Physical Review D - Particles, Fields, Gravitation and Cosmology
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 86
http://linked.open...iv/tvurceVysledku
  • Krtouš, Pavel
  • Podolský, Jiří
  • Kadlecová, Hedvika
  • Zelnikov, Andrei
http://linked.open...ain/vavai/riv/wos
  • 000308009000005
issn
  • 1550-7998
number of pages
http://bibframe.org/vocab/doi
  • 10.1103/PhysRevD.86.044039
http://localhost/t...ganizacniJednotka
  • 11320
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