Abstract
We study the falloff behavior of test electromagnetic fields in higher dimensions as one approaches infinity along a congruence of “expanding” null geodesics. The considered backgrounds are Einstein spacetimes including, in particular, (asymptotically) flat and (anti-)de Sitter spacetimes. Various possible boundary conditions result in different characteristic falloffs, in which the leading component can be of any algebraic type (N, II, or G). In particular, the peeling-off of radiative fields differs from the standard four-dimensional one (instead, it qualitatively resembles the recently determined behavior of the Weyl tensor in higher dimensions). General -form fields are also briefly discussed. In even dimensions, the special case displays unique properties and peels off in the “standard way” as . A few explicit examples are mentioned.
- Received 20 June 2014
DOI:https://doi.org/10.1103/PhysRevD.90.124020
© 2014 American Physical Society