Charged Dirac stars

Maribel Hernández Márquez; Miguel Alcubierre

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arXiv · 2607.26374

Charged Dirac stars

Maribel Hernández Márquez·Miguel Alcubierre

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Abstract

In this work we solve the coupled Einstein-Dirac-Maxwell (EDM) system for static spherically symmetric configurations of two fermions in a singlet spinor state within the $3+1$ formalism of general relativity. We find different families of stationary self-gravitating solutions for the Dirac field through a numerical shooting method for different values of the electric charge parameter q. Furthermore, we investigate the effect of the charge q on the binding energy, mass, radius, and compactness of the solutions. We show that gravitationally bound configurations exist only for $q m$, we find that they are always gravitationally unbound.

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Maribel Hernández Márquez, Miguel Alcubierre. 2026-07-29. Charged Dirac stars. https://arxiv.org/abs/2607.26374

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