Gravitational waveforms for finite mass binaries
M\'aty\'as Vas\'uth, J\'anos Maj\'ar

TL;DR
This paper develops a method to evaluate gravitational wave polarization states from inspiraling compact binaries, considering eccentric orbits and spin effects up to 1.5 post-Newtonian order, aiding detection and analysis.
Contribution
It introduces a new approach to compute gravitational waveforms for binaries with eccentric orbits and spin, extending previous models to include these effects at 1.5 post-Newtonian order.
Findings
Results agree with existing calculations for circular orbits.
Method effectively incorporates eccentricity and spin effects.
Enhances modeling accuracy for gravitational wave detection.
Abstract
One of the promising sources of gravitational radiation is a binary system composed of compact stars. It is an important question how the rotation of the bodies and the eccentricity of the orbit affect the detectable signal. Here we present a method to evaluate the gravitational wave polarization states for inspiralling compact binaries with comparable mass. We consider eccentric orbits and the spin-orbit contribution in the case of one spinning object up to 1.5 post-Newtonian order. For circular orbits our results are in agreement with existing calculations.
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