Characterisation of the energy of Gaussian beams on Lorentzian manifolds: with applications to black hole spacetimes

It is known that, using the Gaussian beam approximation, one can show that there exist solutions of the wave equation on a general globally hyperbolic Lorentzian manifold whose energy is localised along a given null geodesic for a finite, but arbitrarily long, time. We show that the energy of such a...

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Bibliographic Details
Main Author: Sbierski, J
Format: Journal article
Published: Mathematical Sciences Publishers 2015