English

Analytical coordinate time at first post-Newtonian order

General Relativity and Quantum Cosmology 2023-03-28 v2 High Energy Astrophysical Phenomena High Energy Physics - Theory

Abstract

In this letter, we exploit the Damour-Deruelle solution to derive the analytical expression of the coordinate time in terms of the polar angle. This formula has advantageous applications in both pulsar timing and gravitational-wave theory.

Cite

@article{arxiv.2301.02472,
  title  = {Analytical coordinate time at first post-Newtonian order},
  author = {Vittorio De Falco and Emmanuele Battista and John Antoniadis},
  journal= {arXiv preprint arXiv:2301.02472},
  year   = {2023}
}

Comments

5 pages; 4 figures; letter accepted on Europhysics Letters (EPL); corrected some minor typos

R2 v1 2026-06-28T08:04:55.584Z