No-go theorem for static spherically symmetric configurations composed of two charged pressureless fluid species


  • Andrés Aceña ICB-CONICET
  • Bruno Cardin Guntsche Instituto Interdisciplinario de Ciencias Básicas, CONICET, Mendoza, Argentina.
  • Ivan Gentile de Austria Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Cuyo, Mendoza, Argentina.



electrically counterpoised dust, no-go theorem, Nordström gravity, General Relativity


We present a no-go theorem for spherically symmetric configurations of two charged fluid species in equilibrium. The fluid species are assumed to be dusts, that is, perfect fluids without pressure, and the equilibrium can be attained for a single dust from the balance of electrostatic repulsion and gravitational attraction. We show that this is impossible for two dust species unless both of them are indistinguishable in terms of their electric charge density to matter density ratio. The result is obtained in the main three theories of mechanics, that is, in Newtonian Mechanics, in Special Relativity and in General Relativity. In particular, as charged dust solutions have been used to study the possibility of black hole mimickers, this result shows that such mimickers can not be constructed unless the underlying charged particle has the correct charge to mass ratio.


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How to Cite

A. Aceña, B. Cardin Guntsche, and I. Gentile de Austria, “No-go theorem for static spherically symmetric configurations composed of two charged pressureless fluid species”, Rev. Mex. Fís., vol. 70, no. 3 May-Jun, pp. 030701 1–, May 2024.



07 Gravitation, Mathematical Physics and Field Theory