Gravitational_Collapse_Complexity_Solver

Simulation and analysis of gravitational collapse, relativistic stars, and astrophysical complexity models.

Gravitational Collapse Complexity Solver

Author: R. R. Mahomane
Paper: Emergence of Complexity in Gravitational Collapse
Date: December 2025

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Description

This Python project numerically evaluates the analytical solution for the scale factor (f(t)) derived from the pressure isotropy condition in gravitational collapse models. It generates the time-evolution profiles for:

• Metric scale factor (f(t))
• Thermodynamic heat flux (q(t))
• Luminosity (L(t))
• Structural Complexity Factor (Y_{TF})

The solver captures the dynamics from static equilibrium, through symmetry breaking, up to the singularity.

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Features

• High-resolution simulation of gravitational collapse dynamics
• Analytical solution for the scale factor integrated into the script
• Three-panel visualization of metric evolution, thermodynamic quantities, and complexity growth
• Safe handling of singularities and post-collapse states

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Requirements

• Python 3.8+
• NumPy
• Matplotlib

Install dependencies via pip:

pip install numpy matplotlib