2011/12/31 by Gabor Zsolt Toth, Gábor Zsolt Tóth · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Charged black hole #Classical mechanics #Cosmic censorship hypothesis #Cosmology and Gravitation Theories #Electromagnetic field #Energy condition #Field (mathematics) #General relativity #Gravitation #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Rotating black hole #Scalar (mathematics) #Scalar field #Schwarzschild radius #Test particle #Theoretical physics #gr-qc
paper · pdf · doi:10.1007/s10714-012-1374-z
published as Gen. Relativ. Gravit. 44 (2012) 2019-2035 · 18 pages, LaTeX
openalex publication_date 2012/05/15 · arxiv created 2012/07/12 · arxiv updated 2012/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A thought experiment considered recently in the literature, in which it is investigated whether a dyonic Kerr-Newman black hole can be destroyed by overcharging or overspinning it past extremality by a massive complex scalar test field, is revisited. Another derivation of the result that this is not possible, i.e. the weak cosmic censorship is not violated in this thought experiment, is given. The derivation is based on conservation laws, on a null energy condition, and on specific properties of the metric and the electromagnetic field of dyonic Kerr-Newman black holes. The metric is kept fixed, whereas the dynamics of the electromagnetic field is taken into account. A detailed knowledge of the solutions of the equations of motion is not needed. The approximation in which the electromagnetic field is fixed is also considered, and a derivation for this case is also given. In addition, an older version of the thought experiment, in which a pointlike test particle is used, is revisited. The same result, namely the non-violation of the cosmic censorship, is rederived in a way which is simpler than in earlier works.