Astrophysical and Cosmological Relevance of the High-Frequency Features in the Stochastic Gravitational-Wave Background

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Main Authors: Capurri, Giulia, Lapi, Andrea, Spera, Mario, Baccigalupi, Carlo
Format: Preprint
Published: 2023
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author Capurri, Giulia
Lapi, Andrea
Spera, Mario
Baccigalupi, Carlo
author_facet Capurri, Giulia
Lapi, Andrea
Spera, Mario
Baccigalupi, Carlo
contents The stochastic gravitational-wave background (SGWB) produced by merging neutron stars exhibits a peak in the kHz band. In this paper, we develop a theoretical framework to exploit this distinctive feature through a Markov Chain Monte Carlo analysis using a simulated dataset of SGWB measurements within this frequency range. The aim is to use the SGWB peak as an observable to constrain a set of astrophysical and cosmological parameters that accurately describe the sources of the SGWB. We examine how variations in these parameters impact the morphology of the SGWB and investigate the necessary sensitivity to effectively constrain them. Given our priors on astrophysical and cosmological parameters, and assuming a power-law integrated sensitivity curve of the order of $10^{-11}$ between 1 kHz and 5 kHz, we show that the values of the chirp mass and common envelope efficiency of the binary systems are retrieved with percent accuracy. Furthermore, the method allows for the reconstruction of the cosmological expansion history populated by these binaries, encompassing the Hubble constant, matter abundance, and the effective equation of state of dark energy.
format Preprint
id arxiv_https___arxiv_org_abs_2310_18394
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Astrophysical and Cosmological Relevance of the High-Frequency Features in the Stochastic Gravitational-Wave Background
Capurri, Giulia
Lapi, Andrea
Spera, Mario
Baccigalupi, Carlo
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
The stochastic gravitational-wave background (SGWB) produced by merging neutron stars exhibits a peak in the kHz band. In this paper, we develop a theoretical framework to exploit this distinctive feature through a Markov Chain Monte Carlo analysis using a simulated dataset of SGWB measurements within this frequency range. The aim is to use the SGWB peak as an observable to constrain a set of astrophysical and cosmological parameters that accurately describe the sources of the SGWB. We examine how variations in these parameters impact the morphology of the SGWB and investigate the necessary sensitivity to effectively constrain them. Given our priors on astrophysical and cosmological parameters, and assuming a power-law integrated sensitivity curve of the order of $10^{-11}$ between 1 kHz and 5 kHz, we show that the values of the chirp mass and common envelope efficiency of the binary systems are retrieved with percent accuracy. Furthermore, the method allows for the reconstruction of the cosmological expansion history populated by these binaries, encompassing the Hubble constant, matter abundance, and the effective equation of state of dark energy.
title Astrophysical and Cosmological Relevance of the High-Frequency Features in the Stochastic Gravitational-Wave Background
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2310.18394