Non-existence of black hole solutions for a spherically symmetric, static Einstein-Dirac-Maxwell system

DOI10.1007/s002200050675zbMath0939.83037arXivgr-qc/9810048OpenAlexW3124851257MaRDI QIDQ1809224

Felix Finster, Shing Tung Yau, J. A. Smoller

Publication date: 16 December 1999

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9810048

zbMATH Keywords

gravitational collapseblack hole solutionsweak regularityDirac particlesEinstein-Dirac-Maxwell equationsReissner-Nordström solutions

Mathematics Subject Classification ID

Other elementary particle theory in quantum theory (81V25) Black holes (83C57) Electromagnetic fields in general relativity and gravitational theory (83C50) PDEs in connection with relativity and gravitational theory (35Q75)

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Polar form of Dirac fields: implementing symmetries via Lie derivative ⋮ Proof for the weak and the strong energy conditions theorems in Einstein-Yang-Mills theories ⋮ Variational methods in relativistic quantum mechanics ⋮ The Einstein-Dirac equation on Riemannian spin manifolds ⋮ Constructing the AdS dual of a Fermi liquid: AdS black holes with Dirac hair ⋮ Some recent progress in classical general relativity ⋮ Time-periodic solutions of the Einstein's field equations. III: Physical singularities ⋮ Boson and Dirac stars in \(D \geq 4\) dimensions ⋮ Linear waves in the Kerr geometry: A mathematical voyage to black hole physics

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