Equal-time vacuum correlations of a test quantum field on a dynamically collapsing, horizon-forming spacetime develop non-local peaks across the apparent horizon, and the outside peak moves away from the horizon over time.
Quantum correlations in a gravitational collapse simulation with SpheriCo.jl
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abstract
We report on work using a newly developed code, SpheriCo.jl, that computes the gravitational collapse of a spherical scalar field, where the scalar can be either a classical field, or a quantum field operator. By utilising summation-by-parts methods for the numerical derivatives we are able to simulate the collapse longer than was possible previously due to enhanced numerical stability. We present a suite of tests for the code that tests its accuracy and stability, both for the classical and quantum fields. We are able to observe critical behavior of gravitational collapse for the classical setup, in agreement with expected results. The code is also used to compute two-point correlation functions, with results that hint at a non-trivial correlation across the horizon of Hawking quanta.
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gr-qc 1years
2025 1verdicts
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Non-local correlations of a test quantum field in gravitational collapse
Equal-time vacuum correlations of a test quantum field on a dynamically collapsing, horizon-forming spacetime develop non-local peaks across the apparent horizon, and the outside peak moves away from the horizon over time.