Research Article
The d'Alembert solution in hyperboloidal foliations
https://doi.org/10.21203/rs.3.rs-4077316/v1
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We explicitly construct the analogue of the d'Alembert solution to the 1+1 wave equation in an hyperboloidal setting. This hyperboloidal d'Alembert 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.
No competing interests reported.
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You are reading this latest preprint version