Volume 141, Number 2, January 2023
|Number of page(s)||5|
|Section||Gravitation, cosmology and astrophysics|
|Published online||18 January 2023|
Analytical coordinate time at first post-Newtonian order
1 Scuola Superiore Meridionale - Largo San Marcellino 10, 80138 Napoli, Italy
2 Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Complesso Universitario di Monte S. Angelo Via Cintia Edificio 6, 80126 Napoli, Italy
3 Department of Physics, University of Vienna - Boltzmanngasse 5, A-1090 Vienna, Austria
4 Institute of Astrophysics, FORTH, Dept. of Physics, University Campus - GR-71003 Heraklion, Greece
5 Max-Planck-Instutut für Radioastronomie - Auf dem Hügel 69, 53121, Bonn, Germany
Received: 29 August 2022
Accepted: 5 January 2023
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.
© 2023 The author(s)
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