Relativistic Burgers Models on Curved Background Geometries

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Abstract

Relativistic Burgers model and its generalization to various spacetime geometries are recently studied both theoretically and numerically. The numeric implementation is based on finite volume and finite difference approximation techniques designed for the corresponding model on the related geometry. In this work, we provide a summary of several versions of these models on the Schwarzschild, de Sitter, Schwarzschild-de Sitter, FLRW and Reissner-Nordström spacetime geometries with their particular properties.

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Okutmustur, B. (2019). Relativistic Burgers Models on Curved Background Geometries. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 11386 LNCS, pp. 370–377). Springer Verlag. https://doi.org/10.1007/978-3-030-11539-5_42

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