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Static Planck stars from effective loop quantum gravity

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arxiv 2408.16533 v2 pith:TUGXSHYI submitted 2024-08-29 gr-qc

Static Planck stars from effective loop quantum gravity

classification gr-qc
keywords effectiveloopquantumdynamicsequationgravitymassmatter
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Effective loop quantum gravity dynamics are derived for spherically symmetric spacetimes with a perfect fluid matter content. For homogeneous spacetimes, the effective dynamics agree with the standard results of loop quantum cosmology, while the equations for static solutions give an effective Tolman-Oppenheimer-Volkoff equation. There exist solutions to the effective Tolman-Oppenheimer-Volkoff equation that have a mass of the order of the Planck mass, a Planckian radius, and no horizon; these miniature stars could potentially contribute to dark matter, and could be an end state for an evaporating black hole.

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