Quantum correlations in a gravitational collapse simulation with SpheriCo.jl
arXiv:2412.19722 · doi:10.1007/JHEP05(2025)173
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.
52 pages, 25 figures, code available at https://github.com/ThanasisGiannakopoulos/SpheriCo.jl, data available at https://zenodo.org/records/14365567, associated simulation videos at https://tinyurl.com/spherico, updated to match published version
References in corpus (35)
- Evolution of Binary Black Hole Spacetimes
- Observation of quantum Hawking radiation and its entanglement in an analogue black hole
- A New Generalized Harmonic Evolution System
- Constraint damping in the Z4 formulation and harmonic gauge
- Critical phenomena in gravitational collapse
- Numerical observation of Hawking radiation from acoustic black holes in atomic Bose-Einstein condensates
- Constraint violation in free evolution schemes: comparing BSSNOK with a conformal decomposition of Z4
- General-covariant evolution formalism for Numerical Relativity
- Toward standard testbeds for numerical relativity
- Versatile method for renormalized stress-energy computation in black-hole spacetimes
- A Simple Method for One-Loop Renormalization in Curved Space-Time
- Pragmatic mode-sum regularization method for semiclassical black-hole spacetimes
- Renormalized stress-energy tensor of an evaporating spinning black hole
- Implementation of standard testbeds for numerical relativity
- Mode-sum regularization of in the angular-splitting method
- Numerical stability of the Z4c formulation of general relativity
- Dynamical shift conditions for the Z4 and BSSN hyperbolic formalisms
- Regularization of spherically symmetric evolution codes in numerical relativity
- On Quantum Correlations across the Black Hole Horizon
- Numerical stability for finite difference approximations of Einstein's equations
- Aspherical deformations of the Choptuik spacetime
- Stability of the puncture method with a generalized BSSN formulation
- Quantum correlations across the horizon in acoustic and gravitational Black Holes
- Twist-free axisymmetric critical collapse of a complex scalar field
- Critical gravitational collapse of a massive complex scalar field
- Gravitational collapse of quantum fields and Choptuik scaling
- A semi-linear wave model for critical collapse
- Out-of-equilibrium evolution of scalar fields in FRW cosmology: renormalization and numerical simulations
- Formulation Improvements for Critical Collapse Simulations
- Gravitational collapse with quantum fields
- Summation by parts methods for the spherical harmonic decomposition of the wave equation in arbitrary dimensions
- Semiclassical gravitational collapse of a radially symmetric massless scalar quantum field
- Equivalence of the adiabatic expansion and Hadamard renormalization for a charged scalar field
- Type II critical collapse on a single fixed grid: a gauge-driven ingoing boundary method
- Curvature and dynamical spacetimes: can we peer into the quantum regime?