Analytical coordinate time at first post-Newtonian order
arXiv:2301.02472 · doi:10.1209/0295-5075/acb07e
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.
5 pages; 4 figures; letter accepted on Europhysics Letters (EPL); corrected some minor typos
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- Inflation in Weyl-invariant Einstein-Cartan gravity
- Torsion at different scales: from materials to the Universe
- Analytical coordinate time at the second post-Newtonian order
- Compact binary system dynamics at the second post-Newtonian order: analytical formula of the coordinate time for eccentric and circular orbits