1999/05/27 by F. de Felice, Fernando de Felice, Liu Siming +2 · 112 citations
Physics and Astronomy · #Adiabatic process #Astron #Astrophysics #Black Holes and Theoretical Physics #Charge (physics) #Charged particle #Classical mechanics #Conjecture #Cosmology and Gravitation Theories #Einstein #Einstein field equations #Geometry #Ion #Mathematical physics #Parameter space #Perturbation (astronomy) #Physics #Pulsars and Gravitational Waves Research #Pure mathematics #Quantum mechanics #SPHERES #gr-qc
paper · pdf · doi:10.1088/0264-9381/16/8/307
published in Classical and Quantum Gravity 16(8), 2669-2680 (IOP Publishing) · revtex, 13 pages. five EPS figures. Accepted by CQG
arxiv created 1999/05/27 · openalex publication_date 1999/07/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We present new results concerning the existence of static, electrically charged, perfect fluid spheres that have a regular interior and are arbitrarily close to a maximally charged black-hole state. These configurations are described by exact solutions of Einstein's field equations. A family of these solutions had already been found (de Felice et al 1995 Mon. Not. R. Astron. Soc. 277 L17) but here we generalize that result to cases with different charge distributions within the spheres and show, in an appropriate parameter space, that the set of such physically reasonable solutions has a non-zero measure. We also perform a perturbation analysis and identify the solutions which are stable against adiabatic radial perturbations. We then suggest that the stable configurations can be considered as classic models of charged particles. Finally, our results are used to show that a conjecture of Kristiansson et al (1998 Gen. Rel. Grav. 30 275) is incorrect.