Approximate symmetries and conservation laws of the geodesic equations for the Schwarzschild metric

作者：Kara A H; Mahomed F M^*; Qadir Asghar

来源：Nonlinear Dynamics, 2008, 51(1-2): 183-188.

DOI：10.1007/s11071-007-9201-x

• approximate symmetries
• conservation laws
• geodesic equations schwarzschild metric

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.

• 出版日期2008-1
• 单位中国石油大学（北京）