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Gravitational collapse with quantum fields

Benjamin Berczi1,*, Paul M. Saffin1,†, and Shuang-Yong Zhou2,3,‡

  • 1School of Physics and Astronomy, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom
  • 2Interdisciplinary Center for Theoretical Study, University of Science and Technology of China, Hefei, Anhui 230026, China
  • 3Peng Huanwu Center for Fundamental Theory, Hefei, Anhui 230026, China

  • *benjamin.berczi@nottingham.ac.uk
  • †paul.saffin@nottingham.ac.uk
  • ‡zhoushy@ustc.edu.cn

Phys. Rev. D 104, L041703 – Published 13 August, 2021

DOI: https://doi.org/10.1103/PhysRevD.104.L041703

Abstract

Gravitational collapse into a black hole has been extensively studied with classical sources. We develop a new formalism to simulate quantum fields forming a black hole. This formalism utilizes well-established techniques used for classical collapse by choosing a convenient coherent state, and simulates the matter fields quantum mechanically. Divergences are regularized with the cosmological constant and Pauli-Villars fields. Using a massless spherically symmetric scalar field as an example, we demonstrate the effectiveness of the formalism by reproducing some classical results in gravitational collapse, and identifying the difference due to quantum effects.

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