Published August 4, 2026 | Version v1.0-submission

ImanetorX98/TOVBrachistochrone: TOVBrachistochrone: numerical code for coordinate-time and proper-time brachistochrones in Tolman–Oppenheimer–Volkoff stellar interiors

Authors/Creators

  • 1. Alten

Description

Numerical code accompanying the manuscript "Coordinate-Time and Proper-Time Brachistochrones in Tolman–Oppenheimer–Volkoff Stellar Interiors" (I. Rosignoli), submitted to Classical and Quantum Gravity.

The code integrates the Tolman–Oppenheimer–Volkoff (TOV) equations for a prescribed equation of state (relativistic polytrope or tabulated CompOSE EOS) and computes the coordinate-time and proper-time brachistochrone curves for a massive test particle released from rest at the stellar surface. It evaluates the effective optical indices n_t and n_tau, the generalized Snell laws, turning radii, opening angles and travel times via Gauss–Legendre quadrature, and reproduces all figures and tables of the manuscript, including the Bowers–Liang anisotropic sequences and the universal weak-field O(mu) expansion of the t–tau splitting.

This release (v1.0-submission, commit 5507e4b) is the exact version used to produce the figures and tables of the submitted manuscript.

Language: Python 3 (numpy, scipy). License: see repository. Realistic EOS: CompOSE table qmc_rmf_1 (CompOSE EoS entry 297, QMC-RMF, Brodie et al.).

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ImanetorX98/TOVBrachistochrone-v1.0-submission.zip

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