Relativistic Burgers Models on Curved Background Geometries

Date

2019-01-01

Author

Okutmuştur, Baver

Metadata

Show full item record

Item Usage Stats

241
views

0
downloads

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 summaryof several versions of these models on the Schwarzschild, de Sitter, Schwarzschild-de Sitter, FLRW and Reissner-Nordstr¨om spacetime geometries with their particular properties.

URI

https://link.springer.com/book/10.1007/978-3-030-11539-5
https://hdl.handle.net/11511/76818

Relation

Finite Difference Methods. Theory and Applications

Collections

Department of Mathematics and Science Education, Book / Book chapter

Suggestions

OpenMETU
Core

Finite volume method for the relativistic burgers model on a (1+1)-Dimensional de sitter spacetime Ceylan, Tuba; Okutmuştur, Baver (2016-05-10) 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...
Reisnerr-Nordstrom Spacetime Geometry: Derivation of the Euler and Burgers Models Okutmuştur, Baver (2018-7-07) 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 Eu...
RELATIVISTIC DESCRIPTION OF HEAVY Q(Q)OVER-BAR BOUND-STATES ZAKOUT, I; Sever, Ramazan (1994-10-01) We study the relativistic description of heavy qqBAR bound states in the context of the relativistic wave equation. We used some attractive QCD based potentials where the vector part incorporates in the two loop perturbation QCD effects at short distances while the scalar part approaches the linear confining potential at large distances. We calculate the energy levels, leptonic and hadronic decay widths, as well as the E1 rate transition for ccBAR and bbBAR. Results are compared with their experimental v...
Entangled Harmonic Oscillators and Space-Time Entanglement Başkal, Sibel; Kim, Young S.; Noz, Marilyn E. (MDPI AG, 2016-6-28) The mathematical basis for the Gaussian entanglement is discussed in detail, as well as its implications in the internal space-time structure of relativistic extended particles. It is shown that the Gaussian entanglement shares the same set of mathematical formulas with the harmonic oscillator in the Lorentz-covariant world. It is thus possible to transfer the concept of entanglement to the Lorentz-covariant picture of the bound state, which requires both space and time separations between two constituent p...
Derivation of the relativistic burgers equation on a de sitter background Okutmuştur, Baver (null; 2014-12-17) Recently several versions of relativistic Burgers equations have been derived on different spacetime geometries by the help of Lorentz invariance property and the Euler system of relativistic compressible flows on the related backgrounds. The concerning equations on Minkowski (flat) and Schwarzshild spacetimes are obtained in the article [6] where the finite volume approximations and numerical calculations of the given models are presented in detail. On the other hand a similar work on the Friedmann–Lemaˆıt...

Citation Formats

B. Okutmuştur, Relativistic Burgers Models on Curved Background Geometries. 2019, p. 377.