2014/07/29 by Jose M. Torres, Miguel Alcubierre
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Charge (physics) #Charged black hole #Cosmic censorship hypothesis #Cosmology and Gravitation Theories #General relativity #Gravitational collapse #Numerical relativity #Pulsars and Gravitational Waves Research #Scalar (mathematics) #Scalar field #Spherical shell #gr-qc
paper · pdf · doi:10.1007/s10714-014-1773-4
published as Gen. Relativ. Gravit. 46, 1773 (2014) · 19 pages, 30 figures. Accepted in General Relativity and Gravitation
arxiv created 2014/07/29 · openalex publication_date 2014/08/08 · arxiv updated 2014/11/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In order to study the gravitational collapse of charged matter we analyze the simple model of an self-gravitating massless scalar field coupled to the electromagnetic field in spherical symmetry. The evolution equations for the Maxwell-Klein-Gordon sector are derived in the 3+1 formalism, and coupled to gravity by means of the stress-energy tensor of these fields. To solve consistently the full system we employ a generalized Baumgarte-Shapiro-Shibata-Nakamura (BSSN) formulation of General Relativity that is adapted to spherical symmetry. We consider two sets of initial data that represent a time symmetric spherical thick shell of charged scalar field, and differ by the fact that one set has zero global electrical charge while the other has non-zero global charge. For compact enough initial shells we find that the configuration doesn't disperse and approaches a final state corresponding to a sub-extremal Reissner-Nördstrom black hole with |Q|<M. By increasing the fundamental charge of the scalar field q we find that the final black hole tends to become more and more neutral. Our results support the cosmic censorship conjecture for the case of charged matter.