Reisnerr-Nordstrom Spacetime Geometry: Derivation of the Euler and Burgers Models

A relativistic generalization of the Euler and Burgers models have recently been introduced and analyzed both theoretically and numerically. In this work we extend these analysis to a particular type of the Lorentzian manifold, so called the Reissnerr-Nordström (RS) spacetime geometry. We introduce basic properties of the R-S spacetime and its metric components containing electrical charge term which distinguish the R-S spacetime from the Schwarzshild geometry. Furthermore, we present a derivation of the Euler and Burgers models for a 1+1 dimensional R-S geometry with some numerical results.
16th International Geometry Symposium , Manisa Celal Bayar University, Manisa-TURKEY


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Several generalizations of the relativistic models of Burgers equations have recently been established and developed on different spacetime geometries. In this work, we take into account the de Sitter spacetime geometry, introduce our relativistic model by a technique based on the vanishing pressure Euler equations of relativistic compressible fluids on a (1+1)-dimensional background and construct a second order Godunov type finite volume scheme to examine numerical experiments within an analysis of the cos...
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Citation Formats
B. Okutmuştur, “Reisnerr-Nordstrom Spacetime Geometry: Derivation of the Euler and Burgers Models,” Manisa, TURKEY, 2018, p. 148, Accessed: 00, 2021. [Online]. Available: