Time transformations in post-Newtonian Lagrangians
We show that the use of time transformations in post-Newtonian Lagrangians is equivalent to using the lowest-order energy-conservation equation in the highest-order terms of the Lagrangian (complementing Schäfer's observation that the use of coordinate transformations is equivalent to using the lowest-order equations of motion in the highest-order terms of the Lagrangian). We also show how identity coordinate or identity time transformations can add double-zero terms to the Lagrangian. Next we use time and coordinate transformations to simplify the Einstein-Infeld-Hoffmann Lagrangian with parametrized-post-Newtonian parameters and. © 1984 The American Physical Society.
Publication Source (Journal or Book title)
Physical Review D
Barker, B., & O'Connell, R. (1984). Time transformations in post-Newtonian Lagrangians. Physical Review D, 29 (12), 2721-2725. https://doi.org/10.1103/PhysRevD.29.2721