Accelerated sources in de Sitter spacetime and the insufficiency of retarded fields

Jiří Bičák and Pavel Krtouš
Phys. Rev. D 64, 124020 – Published 28 November 2001
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Abstract

The scalar and electromagnetic fields produced by the geodesic and uniformly accelerated discrete charges in de Sitter spacetime are constructed by employing the conformal relation between de Sitter and Minkowski space. Special attention is paid to new effects arising in spacetimes which, like de Sitter space, have spacelike conformal infinities. Under the presence of particle and event horizons, purely retarded fields (appropriately defined) become necessarily singular or even cannot be constructed at the “creation light cones”—future light cones of the “points” at which the sources “enter” the universe. We construct smooth (outside the sources) fields involving both retarded and advanced effects, and analyze the fields in detail in case of (i) scalar monopoles, (ii) electromagnetic monopoles, and (iii) electromagnetic rigid and geodesic dipoles.

  • Received 7 June 2001

DOI:https://doi.org/10.1103/PhysRevD.64.124020

©2001 American Physical Society

Authors & Affiliations

Jiří Bičák* and Pavel Krtouš

  • Institute of Theoretical Physics, Faculty of Mathematics and Physics, Charles University, V Holešovičkách 2, 180 00 Prague 8, Czech Republic

  • *Email address: bicak@mbox.troja.mff.cuni.cz
  • Email address: Pavel.Krtous@mff.cuni.cz

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Issue

Vol. 64, Iss. 12 — 15 December 2001

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