The dAlembert solution in hyperboloidal foliations
Abstract
We explicitly construct the analogue of the dAlembert solution to the 1+1 wave equation in an hyperboloidal setting. This hyperboloidal dAlembert solution is used, in turn, to gain intuition into the behaviour of solutions to the wave equation in a hyperboloidal foliation and to explain some apparently anomalous behaviour observed in numerically constructed solutions discussed in the literature.
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