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Hoffmann–Infeld black-hole solutions in Lovelock gravity

2005/02/28 by Matias Aiello, Matías Aiello, Rafael Ferraro +2 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Conical surface #Cosmology and Gravitation Theories #Evaporation #Geometry #Gravitation #Horizon #Mathematical physics #Physics #Quantum Electrodynamics and Casimir Effect #RADIUS #Schwarzschild radius #Singularity #Thermodynamics #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/22/13/004

published as Class.Quant.Grav.22:2579-2588,2005 · 6 pages, 5 figures, Revtex4. References added and comments clarified; version accepted for publication

arxiv created 2005/05/19 · openalex publication_date 2005/06/13 · arxiv updated 2011/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Five-dimensional black holes are studied in Lovelock gravity coupled to Hoffmann–Infeld nonlinear electrodynamics. It is shown that some of these solutions present a double peak behaviour of the temperature as a function of the horizon radius. This feature suggests that the evaporation process, though drastic for a period, leads to an eternal black-hole remnant. In fact, the form of the caloric curve corresponds to the existence of a plateau in the evaporation rate, which implies that black holes of intermediate scales turn out to be unstable. The geometrical aspects, such as the absence of conical singularity, the structure of horizons, etc are also discussed. In particular, solutions that are asymptotically AdS arise for special choices of the parameters, corresponding to charged solutions of five-dimensional Chern–Simons gravity.

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