Prospect of unraveling the first-order phase transition in neutron stars with $f$ and $p_1$ modes
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910719419613184 |
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| author | Thakur, Pratik Chatterjee, Sagnik Nath, Kamal Krishna Mallick, Ritam |
| author_facet | Thakur, Pratik Chatterjee, Sagnik Nath, Kamal Krishna Mallick, Ritam |
| contents | Quasi-normal modes of neutron stars are an exciting prospect for analyzing the internal composition of NSs and studying matter at high densities. In this work, we focus on studying the $f$- and $p$- quadrupolar oscillation modes, which couple with gravitational waves. We construct two different equation of state ensembles, one without and one with a first-order phase transition, and examine how $f$- and $p$-modes might help us differentiate them. We find ensemble specific exclusion regions in the $65\%$ and $95\%$ confidence contours of the frequency-damping time relations. The exclusion regions become more prominent for the higher-order oscillation modes. However, these modes have higher frequencies, which are beyond the detection capabilities of present gravitational wave detectors. The quasi-universal relations of dimensionless quantities prove to be ineffective in differentiating the equation of state ensembles, as they obscure the details of the equation of state. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_12601 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Prospect of unraveling the first-order phase transition in neutron stars with $f$ and $p_1$ modes Thakur, Pratik Chatterjee, Sagnik Nath, Kamal Krishna Mallick, Ritam General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena Quasi-normal modes of neutron stars are an exciting prospect for analyzing the internal composition of NSs and studying matter at high densities. In this work, we focus on studying the $f$- and $p$- quadrupolar oscillation modes, which couple with gravitational waves. We construct two different equation of state ensembles, one without and one with a first-order phase transition, and examine how $f$- and $p$-modes might help us differentiate them. We find ensemble specific exclusion regions in the $65\%$ and $95\%$ confidence contours of the frequency-damping time relations. The exclusion regions become more prominent for the higher-order oscillation modes. However, these modes have higher frequencies, which are beyond the detection capabilities of present gravitational wave detectors. The quasi-universal relations of dimensionless quantities prove to be ineffective in differentiating the equation of state ensembles, as they obscure the details of the equation of state. |
| title | Prospect of unraveling the first-order phase transition in neutron stars with $f$ and $p_1$ modes |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena |
| url | https://arxiv.org/abs/2407.12601 |