Abstract
As an improvement on earlier work, it is shown how perturbations of characteristic functions can be obtained by a recursive procedure which avoids the necessity to find the perturbation of the extremal joining given terminal points, that is, all integrations now go along unperturbed extremals. For the sake of brevity, only the important case of the world characteristic is dealt with here.
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References
Buchdahl, H. A. (1985).International Journal of Theoretical Physics,24, 457.
Synge, J. L. (1960).Relativity: The General Theory, North-Holland, Amsterdam, Chapter 2.
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Buchdahl, H.A. Perturbed characteristic functions. III. Int J Theor Phys 29, 209–213 (1990). https://doi.org/10.1007/BF00671331
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DOI: https://doi.org/10.1007/BF00671331