Within two QCD-inspired equations of state coupled to Eddington-Finkelstein collapse, finite chemical potential reshapes thermodynamics but does not produce self-regularizing black hole cores.
Semiclassical collapse of a sphere of dust
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abstract
The semiclassical collapse of a homogeneous sphere of dust is studied. After identifying the independent dynamical variables, the system is canonically quantised and coupled equations describing matter (dust) and gravitation are obtained. The conditions for the validity of the adiabatic (Born--Oppenheimer) and semiclassical approximations are derived. Further on neglecting back--reaction effects, it is shown that in the vicinity of the horizon and inside the dust the Wightman function for a conformal scalar field coupled to a monopole emitter is thermal at the characteristic Hawking temperature.
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Regular black hole solutions and the quark chemical potential at the QCD phase transition
Within two QCD-inspired equations of state coupled to Eddington-Finkelstein collapse, finite chemical potential reshapes thermodynamics but does not produce self-regularizing black hole cores.