Critical behavior and ultraviolet scaling of induced gravitational waves from an early matter-dominated era
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912567845191680 |
|---|---|
| author | Zeng, Zhen-Min Fang, Cheng-Jun Guo, Zong-Kuan |
| author_facet | Zeng, Zhen-Min Fang, Cheng-Jun Guo, Zong-Kuan |
| contents | Critical behavior and ultraviolet scaling of induced gravitational waves (GWs) from an early matter-dominated (eMD) era are studied in the context of primordial black hole evaporation. The depth of the eMD is characterized by the minimum parameter of the equation of state $ω_{\min}$ that the Universe can attain during this phase. We identify a critical value $ω_{c}\sim 7.3\times10^{-3}$ that separates two regimes. For $ω_{\min}<ω_{c}$, the GW peak lies at the non-linear cut-off point and requires non-linear dynamics. For $ω_{\min}>ω_{c}$, the peak originates from modes that reenter near the matter-radiation equality, and the ultraviolet tail follows a distinct scaling $k^{-3/2}$. This critical behavior provides a clear definition of deep versus shallow eMD and a robust spectral signature for future GW observations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_01397 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Critical behavior and ultraviolet scaling of induced gravitational waves from an early matter-dominated era Zeng, Zhen-Min Fang, Cheng-Jun Guo, Zong-Kuan General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics Critical behavior and ultraviolet scaling of induced gravitational waves (GWs) from an early matter-dominated (eMD) era are studied in the context of primordial black hole evaporation. The depth of the eMD is characterized by the minimum parameter of the equation of state $ω_{\min}$ that the Universe can attain during this phase. We identify a critical value $ω_{c}\sim 7.3\times10^{-3}$ that separates two regimes. For $ω_{\min}<ω_{c}$, the GW peak lies at the non-linear cut-off point and requires non-linear dynamics. For $ω_{\min}>ω_{c}$, the peak originates from modes that reenter near the matter-radiation equality, and the ultraviolet tail follows a distinct scaling $k^{-3/2}$. This critical behavior provides a clear definition of deep versus shallow eMD and a robust spectral signature for future GW observations. |
| title | Critical behavior and ultraviolet scaling of induced gravitational waves from an early matter-dominated era |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2504.01397 |