Entanglement entropy evolution during gravitational collapse
Belfiglio A. Luongo O. Mancini S. Tomasi S.
6 August 2025American Physical Society
Physical Review D
2025#112Issue 4
We investigate the dynamics of the ground state entanglement entropy for a discretized scalar field propagating within the Oppenheimer-Snyder collapse metric. Starting from a well-controlled initial configuration, we follow the system as it evolves toward the formation of a horizon and, eventually, a singularity. Our approach employs an Ermakov-like equation to determine the time-dependent ground state of the field and calculates the resulting entanglement entropy by tracing out the degrees of freedom inside a spherical region within the matter sphere. We find that the entanglement entropy exhibits nontrivial scaling and time dependence during collapse. Close to the horizon, the entropy can deviate from the simple area law, reflecting the rapid changes in geometry and field configuration. Although the model is idealized, these results provide insights into the generation and scaling of entanglement in the presence of realistic, dynamically evolving gravitational fields.
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DSFTA, University of Siena, Via Roma 56, Siena, 53100, Italy
Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Perugia, Perugia, 06123, Italy
School of Science and Technology, University of Camerino, Via Madonna delle Carceri, Camerino, 62032, Italy
Istituto Nazionale di Astrofisica (INAF), Osservatorio Astronomico di Brera, Milano, Italy
Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
DSFTA
Istituto Nazionale di Fisica Nucleare (INFN)
School of Science and Technology
Istituto Nazionale di Astrofisica (INAF)
Al-Farabi Kazakh National University
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