Analytic Gravitational Wave Spectrum in Next-to-Minimal Bouncing Cosmology
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915395323035648 |
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| author | Li, Changhong |
| author_facet | Li, Changhong |
| contents | Bouncing cosmology offers a singularity-free alternative to inflation, but its minimal realization-comprising only four cosmic phases-predicts a simple power-law stochastic gravitational-wave background (SGWB) with a narrow observational window. We introduce the next-to-minimal bouncing cosmology (NMBC), which adds an extra early contraction phase that imprints a broken power-law feature in the SGWB spectrum, enhancing detectability. Using our matrix-representation method grounded in an inequality algebra, we derive a closed-form expression for the NMBC SGWB spectrum. From this analytical result, we show that all NMBC models satisfying the current \(ΔN_{\rm eff}\) bound \(Ω_{\rm GW}h^2(f)<1.7\times10^{-6}\) automatically avoid the trans-Planckian problem, \(ρ_{s\downarrow}^{1/4}<0.79\,m_{\rm pl}\). These findings establish the NMBC as a self-consistent, self-contained framework capable of generating a potentially detectable SGWB in both astrophysical and laboratory searches, and demonstrate the broad utility of our matrix-representation method for future SGWB analyses in multi-phase cosmologies. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_12968 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Analytic Gravitational Wave Spectrum in Next-to-Minimal Bouncing Cosmology Li, Changhong Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Phenomenology Bouncing cosmology offers a singularity-free alternative to inflation, but its minimal realization-comprising only four cosmic phases-predicts a simple power-law stochastic gravitational-wave background (SGWB) with a narrow observational window. We introduce the next-to-minimal bouncing cosmology (NMBC), which adds an extra early contraction phase that imprints a broken power-law feature in the SGWB spectrum, enhancing detectability. Using our matrix-representation method grounded in an inequality algebra, we derive a closed-form expression for the NMBC SGWB spectrum. From this analytical result, we show that all NMBC models satisfying the current \(ΔN_{\rm eff}\) bound \(Ω_{\rm GW}h^2(f)<1.7\times10^{-6}\) automatically avoid the trans-Planckian problem, \(ρ_{s\downarrow}^{1/4}<0.79\,m_{\rm pl}\). These findings establish the NMBC as a self-consistent, self-contained framework capable of generating a potentially detectable SGWB in both astrophysical and laboratory searches, and demonstrate the broad utility of our matrix-representation method for future SGWB analyses in multi-phase cosmologies. |
| title | Analytic Gravitational Wave Spectrum in Next-to-Minimal Bouncing Cosmology |
| topic | Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2507.12968 |