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| Format: | Preprint |
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2024
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| Online Access: | https://arxiv.org/abs/2410.20239 |
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| _version_ | 1866909595187806208 |
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| author | Healy, James Ciarfella, Alessandro Lousto, Carlos O. |
| author_facet | Healy, James Ciarfella, Alessandro Lousto, Carlos O. |
| contents | We performed a series of 769 full numerical simulations of high energy collision of black holes to search for the maximum gravitational energy emitted $E_{rad}$, during their merger. We consider equal mass binaries with spins pointing along their orbital angular momentum $\vec{L}$ and perform a search over impact parameters $b$ and initial linear momenta $p/m=γv$ to find the maximum $E_{rad}$ for a given spin $\vec{S}$. The total radiated energy proves to have a weak dependence on the intrinsic spin $s$ of the holes, for the sequence $s=+0.8, 0.0, -0.8$ studied here. We thus estimate the maximum $E_{rad}^{max}/M_{ADM}\approx32\%\pm2\%$ for these direct merger encounters. We also explore the radiated angular momentum and the maximum spin of the merger remnant (within these configurations), finding $α_f^{max}=0.987$. We then use the zero frequency limit expansion to analytically model the radiated energy in the small impact parameter and large initial linear momentum regime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_20239 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The maximum radiated energy and final spin of high speed collision of two black holes Healy, James Ciarfella, Alessandro Lousto, Carlos O. General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory We performed a series of 769 full numerical simulations of high energy collision of black holes to search for the maximum gravitational energy emitted $E_{rad}$, during their merger. We consider equal mass binaries with spins pointing along their orbital angular momentum $\vec{L}$ and perform a search over impact parameters $b$ and initial linear momenta $p/m=γv$ to find the maximum $E_{rad}$ for a given spin $\vec{S}$. The total radiated energy proves to have a weak dependence on the intrinsic spin $s$ of the holes, for the sequence $s=+0.8, 0.0, -0.8$ studied here. We thus estimate the maximum $E_{rad}^{max}/M_{ADM}\approx32\%\pm2\%$ for these direct merger encounters. We also explore the radiated angular momentum and the maximum spin of the merger remnant (within these configurations), finding $α_f^{max}=0.987$. We then use the zero frequency limit expansion to analytically model the radiated energy in the small impact parameter and large initial linear momentum regime. |
| title | The maximum radiated energy and final spin of high speed collision of two black holes |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.20239 |