Abstract
Approximate symmetries have been defined in the context of differential equations and systems of differential equations. They give approximately, conserved quantities for Lagrangian systems. In this paper, the exact and the approximate symmetries of the system of geodesic equations for the Schwarzschild metric, and in particular for the radial equation of motion, are studied. It is noted that there is an ambiguity in the formulation of approximate symmetries that needs to be clarified by consideration of the Lagrangian for the system of equations. The significance of approximate symmetries in this context is discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 183-188 |
| Number of pages | 6 |
| Journal | Nonlinear Dynamics |
| Volume | 51 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - Jan 2008 |
Keywords
- Approximate symmetries
- Conservation laws
- Geodesic equations
- Schwarzschild metric
ASJC Scopus subject areas
- Control and Systems Engineering
- Aerospace Engineering
- Ocean Engineering
- Mechanical Engineering
- Electrical and Electronic Engineering
- Applied Mathematics