Asymptotic structure of radiation in higher dimensions

Abstract

We characterize a general gravitational field near conformal infinity (null, spacelike, or timelike) in spacetimes of any dimension. This is based on an explicit evaluation of the dependence of the radiative component of the Weyl tensor on the null direction from which infinity is approached. The behaviour similar to peeling property is recovered, and it is shown that the directional structure of radiation has a universal character that is determined by the algebraic type of the spacetime. This is a natural generalization of analogous results obtained previously in the four-dimensional case.

14 pages, no figures (two references added)

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• Interpreting spacetimes of any dimension using geodesic deviation
• Peeling of the Weyl tensor and gravitational radiation in higher dimensions
• Classical ultrarelativistic bremsstrahlung in extra dimensions
• Explicit algebraic classification of Kundt geometries in any dimension
• Physical interpretation of Kundt spacetimes using geodesic deviation
• On the Problem of Radiation Friction Beyond 4 and 6 Dimensions
• Algebraic classification of 2+1 geometries: a new approach
• A novel classification method of 2+1 spacetimes based on the Cotton scalars
• Geodesic deviation in Kundt spacetimes of any dimension
• Interpreting gravitational fields of Topologically Massive Gravity using geodesic deviation