Relativistic Burgers Models on Curved Background Geometries


Creative Commons License

Okutmuştur B.

in: Finite Difference Methods. Theory and Applications, Ivan Dimov,Istvan Farago,Lubin Vulkov, Editor, Springer-Verlag , Zug, pp.370-377, 2019

  • Publication Type: Book Chapter / Chapter Research Book
  • Publication Date: 2019
  • Publisher: Springer-Verlag
  • City: Zug
  • Page Numbers: pp.370-377
  • Editors: Ivan Dimov,Istvan Farago,Lubin Vulkov, Editor

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-Nordstr¨om spacetime geometries with their particular properties.