English

Higher-dimensional quantum Oppenheimer-Snyder model

General Relativity and Quantum Cosmology 2024-11-28 v1

Abstract

The quantum Oppenheimer-Snyder model for higher-dimensional spacetimes is studied. The higher-dimensional quantum-corrected Schwarzschild black hole is obtained by the junction condition. It turns out that quantum bounces always occur in the collapse thus that the classical gravitational collapse singularities are avoided. The scalar perturbations upon the quantum-corrected black holes are also studied. It turns out that the quantum corrections enhance the oscillation frequency in lower dimensions and decrease it in higher dimensions. Moreover, the thermodynamic laws of the quantum-corrected black holes imply that the Hawking temperature of quantum-corrected black hole decreases as the mass decreases in contrast to the classical situation. The behaviour of heat capacity indicates that quantum corrections introduce an extra phase transition of the black holes.

Keywords

Cite

@article{arxiv.2408.15821,
  title  = {Higher-dimensional quantum Oppenheimer-Snyder model},
  author = {Zijian Shi and Xiangdong Zhang and Yongge Ma},
  journal= {arXiv preprint arXiv:2408.15821},
  year   = {2024}
}

Comments

15 pages, 15 figures

R2 v1 2026-06-28T18:26:36.933Z