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

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

2001-07-24

arxiv.org/abs/gr-qc/0107078v2

Phys.Rev. D64 (2001) 124020

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

36 pages, 5 figures, LaTex2e; minor misprints corrected, one reference added and some terminology changed

Scientific paper

10.1103/PhysRevD.64.124020

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. A 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.

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