Work

Resumming post-Minkowskian and post-Newtonian gravitational waveform expansions

Year: 2025

Type: article

Abstract: 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.

Source: SciPost Physics

DOI: 10.21468/scipostphys.19.2.057

Authors: Andrea Cipriani, Giorgio Di Russo, Francesco Fucito, José Francisco Morales, Hasmik Poghosyan, Rubik Poghossian

Institutions: University of Rome Tor Vergata, Istituto Nazionale di Fisica Nucleare, Roma Tor Vergata, A. Alikhanyan National Laboratory

Language: English

Topic: Pulsars and Gravitational Waves Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: CERN, Ministero dell’Istruzione, dell’Università e della Ricerca, State Committee of Science

Awards: G1640264778, G195076483, G5900365043, G7762532878