Gray-body factors: Method matters
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917972346404864 |
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| author | Arbey, Alexandre Calzà, Marco Perez-Gonzalez, Yuber F. |
| author_facet | Arbey, Alexandre Calzà, Marco Perez-Gonzalez, Yuber F. |
| contents | The calculation of gray-body factors is essential for understanding Hawking radiation and black hole thermodynamics. While the formalism developed by Chandrasekhar is effective for static black holes, it faces significant challenges in Kerr spacetimes, particularly in the superradiant regime, where a specific choice of coordinates introduces numerical inaccuracies. To address these limitations, an alternative method based on re-scaling radial coordinates and employing Frobenius-like expansions has been investigated. We compare the gray-body factors obtained for a near-maximally rotating black hole using both methods and find that the Chandrasekhar formalism systematically overestimates the values in the superradiant regime compared to well-established analytical results. Specifically, for a spin parameter of $a_* = 0.999$, the Chandrasekhar method yields values approximately twice as large as the correct result. Since this approach has been implemented in \texttt{BlackHawk}, we assess the impact of these discrepancies on constraints derived from gamma-ray observations of highly spinning primordial black holes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_17240 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gray-body factors: Method matters Arbey, Alexandre Calzà, Marco Perez-Gonzalez, Yuber F. General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Phenomenology High Energy Physics - Theory The calculation of gray-body factors is essential for understanding Hawking radiation and black hole thermodynamics. While the formalism developed by Chandrasekhar is effective for static black holes, it faces significant challenges in Kerr spacetimes, particularly in the superradiant regime, where a specific choice of coordinates introduces numerical inaccuracies. To address these limitations, an alternative method based on re-scaling radial coordinates and employing Frobenius-like expansions has been investigated. We compare the gray-body factors obtained for a near-maximally rotating black hole using both methods and find that the Chandrasekhar formalism systematically overestimates the values in the superradiant regime compared to well-established analytical results. Specifically, for a spin parameter of $a_* = 0.999$, the Chandrasekhar method yields values approximately twice as large as the correct result. Since this approach has been implemented in \texttt{BlackHawk}, we assess the impact of these discrepancies on constraints derived from gamma-ray observations of highly spinning primordial black holes. |
| title | Gray-body factors: Method matters |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.17240 |