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Strong Field Dynamics orbital in Gravitational Optical Spacetime (GOS): Complete Agreement with General Relativity

Author:

Roux, Jean-Claude

Category:

Research Papers

Sub-Category:

Gravity

Language:

English

Date Published:

July 31, 2025

File:

/Research Papers-Gravity/Download/10280

Downloads:

256

Keywords:

Gravitational optics; General Relativity; Schwarzschild spacetime; Strong-field gravity; Geodesics equations; Binet equation; Perihelion precession; Effective refractive index; Variable light speed; Alternative gravity models

Abstract:

In this study, we investigate the predictive capabilities of the Gravitational Optical Spacetime (GOS) model in the strong-field regime and compare its results with those of General Relativity (GR). The GOS framework introduces a modified spacetime geometry inspired by optical analogies, where geodesics are governed by an effective index of refraction. From this, we derive a generalized Binet equation and an associated effective potential that reveals strong similarities with the relativistic structure of GR. Using numerical simulations implemented in a spreadsheet environment, we solve the orbital dynamics near a compact object (with a Schwarzschild ???? #æ = 29,500 ???? , corresponding to a 10- solar-mass black hole), analyzing both bound and unbound trajectories. The simulations explore a wide range of angular momentum values and incorporate an angular step ( ???????? = 0.005 ???? ???????? ) with Runge-Kutta integration of second order to ensure precision. We construct polar plots and ???? (????) diagrams, evaluate perihelion precession, and compute orbital eccentricities. Key relativistic effects—such as the existence of unstable circular orbits, relativistic precession, orbital capture at low angular momentum, and the critical impact parameter—are integrally recovered in the GOS model through its effective potential, without invoking post-Newtonian approximations..../...

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