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arXiv · 2403.07045

The \v{d}Alembert solution in hyperboloidal foliations

Juan A. Valiente Kroon·Lidia J. Gomes Da Silva
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Abstract

We explicitly construct the analogue of the \v{d}Alembert solution to the 1+1 wave equation in an hyperboloidal setting. This hyperboloidal \v{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.

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Juan A. Valiente Kroon, Lidia J. Gomes Da Silva. 2024-03-11. The \v{d}Alembert solution in hyperboloidal foliations. https://doi.org/10.1007/s10714-024-03272-2

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