Analytical approaches for rapid prediction of gravitational waveforms for relativistic binary systems

TL;DR

This paper introduces a rapid analytical method to approximate gravitational waveforms from merging neutron stars and black holes, aiding early detection and multi-messenger astronomy.

Contribution

It provides a novel analytical approach for early-stage gravitational waveform prediction, validated against numerical calculations.

Findings

Analytical formulas closely match numerical waveforms in early merger stages.

Method enhances speed of gravitational waveform prediction for real-time detection.

Potential to improve early alerts for multi-messenger observations.

Abstract

We present a fast method for obtaining fully analytical approximations for gravitational waveforms produced by merging of neutron stars and/or black holes for the earliest stages of the merger process. The obtained analytical formula is compared with numerical calculations, its accuracy and limits of applicability are evaluated. Our results may be useful not only for the earliest evalution of properties of the nature of binary system in gravitational-wave detectors but also will give early alerts for gamma-ray, optical and neutrino observatories.