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- Title
Super-extremal black holes in the quasitopological electromagnetic field theory.
- Authors
Hod, Shahar
- Abstract
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 H = [ d g 00 (r) / d r ] r = r H = [ d 2 g 00 (r) / d r 2 ] r = r H = [ d 3 g 00 (r) / d r 3 ] r = r H = 0 , where g 00 (r) is the tt-component of the curved line element and r 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-independent) dimensionless compactness parameter M / r H = 2 3 (2 γ + 1) , where γ ≡ 2 F 1 (1 / 4 , 1 ; 5 / 4 ; - 3) .
- Subjects
ELECTROMAGNETIC theory; ELECTROMAGNETISM; BLACK holes; SCHWARZSCHILD black holes
- Publication
European Physical Journal C -- Particles & Fields, 2024, Vol 84, Issue 2, p1
- ISSN
1434-6044
- Publication type
Article
- DOI
10.1140/epjc/s10052-024-12454-w