Physics – Mathematical Physics
Scientific paper
2005-03-10
Physics
Mathematical Physics
40 pages, 4 figures
Scientific paper
In this introductory review article, we explore the special relativistic equations of particle motions and the consequent derivation of Einstein's famous formula $E=mc^2$. Next, we study the special relativistic electromagnetic field equations and generalizations of Lorentz equations of motion for charged particles. We then introduce the special relativistic gravitational field as a symmetric second order tensor field. Particle motions in the presence of static gravity are explored which could be used to study planetary dynamics, revealing perihelion shifts. Next, we investigate the system of consisting of pressureless plasmas and neutral perfect fluids coupled to the gravitational field. In that arena, we derive the relativistic Euler equation. Finally, we investigate the relativistic dynamics of a perfect fluid plasma and extensions to viscous flow and derive the relativistic Navier-Stokes equation.
Das Arnab
DeBenedictis Andrew
Kloster Silvia
Tariq N.
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