Super-extremal black holes in the quasitopological electromagnetic field theory
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910399340740608 |
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| author | Hod, Shahar |
| author_facet | Hod, Shahar |
| contents | It has recently been proved that a simple generalization of electromagnetism, referred to as quasitopological electromagnetic field theory, is characterized by the presence of dyonic black-hole solutions of the Einstein field equations that, in certain parameter regions, are characterized by four horizons. In the present compact paper we reveal the existence, in this non-linear electrodynamic field theory, of super-extremal black-hole spacetimes that are characterized by the four degenerate functional relations $[g_{00}(r)]_{r=r_{\text{H}}}=[dg_{00}(r)/dr]_{r=r_{\text{H}}}=[d^2g_{00}(r)/dr^2]_ {r=r_{\text{H}}}=[d^3g_{00}(r)/dr^3]_{r=r_{\text{H}}}=0$, where $g_{00}(r)$ is the $tt$-component of the curved line element and $r_{\text{H}}$ is the black-hole horizon radius. In particular, using analytical techniques we prove that the quartically degenerate super-extremal black holes are characterized by the universal (parameter-{\it independent}) dimensionless compactness parameter $M/r_{\text{H}}={2\over3}(2γ+1)$, where $γ\equiv{_2F_1}(1/4,1;5/4;-3)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_03744 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Super-extremal black holes in the quasitopological electromagnetic field theory Hod, Shahar General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory It has recently been proved that a simple generalization of electromagnetism, referred to as quasitopological electromagnetic field theory, is characterized by the presence of dyonic black-hole solutions of the Einstein field equations that, in certain parameter regions, are characterized by four horizons. In the present compact paper we reveal the existence, in this non-linear electrodynamic field theory, of super-extremal black-hole spacetimes that are characterized by the four degenerate functional relations $[g_{00}(r)]_{r=r_{\text{H}}}=[dg_{00}(r)/dr]_{r=r_{\text{H}}}=[d^2g_{00}(r)/dr^2]_ {r=r_{\text{H}}}=[d^3g_{00}(r)/dr^3]_{r=r_{\text{H}}}=0$, where $g_{00}(r)$ is the $tt$-component of the curved line element and $r_{\text{H}}$ is the black-hole horizon radius. In particular, using analytical techniques we prove that the quartically degenerate super-extremal black holes are characterized by the universal (parameter-{\it independent}) dimensionless compactness parameter $M/r_{\text{H}}={2\over3}(2γ+1)$, where $γ\equiv{_2F_1}(1/4,1;5/4;-3)$. |
| title | Super-extremal black holes in the quasitopological electromagnetic field theory |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.03744 |