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Evolution of the Schr\"odinger--Newton system for a self--gravitating scalar field

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abstract

Using numerical techniques, we study the collapse of a scalar field configuration in the Newtonian limit of the spherically symmetric Einstein--Klein--Gordon (EKG) system, which results in the so called Schr\"odinger--Newton (SN) set of equations. We present the numerical code developed to evolve the SN system and topics related, like equilibrium configurations and boundary conditions. Also, we analyze the evolution of different initial configurations and the physical quantities associated to them. In particular, we readdress the issue of the gravitational cooling mechanism for Newtonian systems and find that all systems settle down onto a 0--node equilibrium configuration.

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hep-th 1

years

2026 1

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CONDITIONAL 1

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Self-gravitating quantum stars with a globally relevant Bohm potential

hep-th · 2026-05-31 · conditional · novelty 6.0

The equilibrium radius of self-gravitating dark fermion stars is determined by the fermion mass once the total mass is given, with the Bohm potential supplying outward pressure for heavier species and inward tension for lighter ones.

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  • Self-gravitating quantum stars with a globally relevant Bohm potential hep-th · 2026-05-31 · conditional · none · ref 73 · internal anchor

    The equilibrium radius of self-gravitating dark fermion stars is determined by the fermion mass once the total mass is given, with the Bohm potential supplying outward pressure for heavier species and inward tension for lighter ones.