Spectrum of gravitational waves from long-lasting primordial sources

Fuente: arXiv
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Main Author: Ramazanov, Sabir
Format: Preprint
Published: 2023
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author Ramazanov, Sabir
author_facet Ramazanov, Sabir
contents We discuss long-lasting gravitational wave sources arising and operating during radiation-dominated stage. Under a set of assumptions, we establish the correspondence between cosmological evolution of a source and the resulting gravitational wave spectrum. Namely, for the source energy density $ρ_s$ falling as a power law characterized by the exponent $β$, i.e., $ρ_s \propto 1/a^β$, where $a$ is the Universe scale factor, the spectrum takes the form $Ω_{gw} \propto f^{2β-8}$ in certain ranges of values of constant $β$ and frequencies $f$. In particular, matching to the best fit power law shape of stochastic gravitational wave background discovered recently by Pulsar Timing Array collaborations, one identifies $β\approx 5$. We demonstrate the correspondence with concrete examples of long-lasting sources: domain walls and cosmic strings.
format Preprint
id arxiv_https___arxiv_org_abs_2310_19148
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Spectrum of gravitational waves from long-lasting primordial sources
Ramazanov, Sabir
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
High Energy Physics - Theory
We discuss long-lasting gravitational wave sources arising and operating during radiation-dominated stage. Under a set of assumptions, we establish the correspondence between cosmological evolution of a source and the resulting gravitational wave spectrum. Namely, for the source energy density $ρ_s$ falling as a power law characterized by the exponent $β$, i.e., $ρ_s \propto 1/a^β$, where $a$ is the Universe scale factor, the spectrum takes the form $Ω_{gw} \propto f^{2β-8}$ in certain ranges of values of constant $β$ and frequencies $f$. In particular, matching to the best fit power law shape of stochastic gravitational wave background discovered recently by Pulsar Timing Array collaborations, one identifies $β\approx 5$. We demonstrate the correspondence with concrete examples of long-lasting sources: domain walls and cosmic strings.
title Spectrum of gravitational waves from long-lasting primordial sources
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2310.19148