Resumming post-Minkowskian and post-Newtonian gravitational waveform expansions
We derive formulae that resum, at a given order in the soft limit, the infinite series of Post-Minkowkian (small gravitational coupling) or Post-Newtonian (small velocities) corrections to the gravitational waveform produced by particles moving along a general (open or closed) trajectory in Schwarzschild geometry in the probe limit. Specifying to the case of circular orbits, we compute the wave form and the energy flux to order 30PN, and compare it against the available results in the literature. The results are based on a novel hypergeometric representation of the solutions of the Heun equation (and its confluence), that leads to a simple mathematical proof of the Heun connection formula.
Authors
- Francesco Fucito (ORCID: https://orcid.org/0000-0001-8626-0177)
- Hasmik Poghosyan (ORCID: https://orcid.org/0000-0003-1371-9930)
- Rubik Poghossian (ORCID: https://orcid.org/0009-0004-4307-1834)
- Giorgio Di Russo (ORCID: https://orcid.org/0000-0002-0149-5303)
- Andrea Cipriani (ORCID: https://orcid.org/0009-0005-8456-9126)
- Josè Francisco Morales (ORCID: https://orcid.org/0000-0001-5177-2308)
Institutions
- University of Rome Tor Vergata (IT)
- A. Alikhanyan National Laboratory (AM)
- Istituto Nazionale di Fisica Nucleare, Roma Tor Vergata (IT)
Publication Details
- Journal
- SciPost Physics
- Published
- 2025-08-26
- DOI
- https://doi.org/10.21468/scipostphys.19.2.057
- Citations
- 3
- Primary Topic
- Pulsars and Gravitational Waves Research
- Type
- article
- Field-Weighted Citation Impact
- 3.46
Funders
- CERN
- Ministero dell’Istruzione, dell’Università e della Ricerca
- State Committee of Science