English

Schwarzschild Metric with Planck Length

General Relativity and Quantum Cosmology 2021-04-12 v1 High Energy Astrophysical Phenomena

Abstract

We present a modified Schwarzschild solution for a model of evaporation of a black hole with information preservation. By drawing a direct analogy to the quantum pure accelerating mirror (dynamical Casimir effect of a 1D horizon), we derive a Schwarzschild metric with not only the usual Schwarzschild radius but an additional length scale related to the Planck length. The black hole has thermal particle production that leads to complete evaporation of the black hole, resulting in non-divergent entanglement entropy, Page curve turn-over, and an asymptotic quantum pure state with no information loss.

Keywords

Cite

@article{arxiv.2003.01333,
  title  = {Schwarzschild Metric with Planck Length},
  author = {Michael R. R. Good and Eric V. Linder},
  journal= {arXiv preprint arXiv:2003.01333},
  year   = {2021}
}

Comments

14 pages, 9 figures

R2 v1 2026-06-23T14:01:34.053Z