Can we hear beats with pulsar timing arrays?
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911228609167360 |
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| author | Yamamoto, Shun Asada, Hideki |
| author_facet | Yamamoto, Shun Asada, Hideki |
| contents | An isolated supermassive black hole binary (SMBHB) produces an identical cross-correlation pattern of pulsar timings as an isotropic stochastic background gravitational waves (GWs) generated possibly by inflation. Can there remain the identical cross-correlation pattern in the presence of a secondary SMBHB? To address this issue, the present paper focuses on GWs with similar amplitudes but slightly different frequencies $f_1$ and $f_2$ coming from two different directions. Beats between the two GWs can modify angular correlation patterns. The beat-induced correlation patterns are not stationary but modulated with a beat frequency $f_{beat} \equiv |f_1 - f_2|$. We obtain an analytic solution that allows us to infer $f_{beat}$ from the modulated angular correlations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_13450 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Can we hear beats with pulsar timing arrays? Yamamoto, Shun Asada, Hideki General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory An isolated supermassive black hole binary (SMBHB) produces an identical cross-correlation pattern of pulsar timings as an isotropic stochastic background gravitational waves (GWs) generated possibly by inflation. Can there remain the identical cross-correlation pattern in the presence of a secondary SMBHB? To address this issue, the present paper focuses on GWs with similar amplitudes but slightly different frequencies $f_1$ and $f_2$ coming from two different directions. Beats between the two GWs can modify angular correlation patterns. The beat-induced correlation patterns are not stationary but modulated with a beat frequency $f_{beat} \equiv |f_1 - f_2|$. We obtain an analytic solution that allows us to infer $f_{beat}$ from the modulated angular correlations. |
| title | Can we hear beats with pulsar timing arrays? |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory |
| url | https://arxiv.org/abs/2501.13450 |