Closing the Gap: Formal Proof that CCEGA P39. Density-Dependent Gravity is Geometry-Independent

Key Points

• To formally derive the effective gravitational constant in static spherical symmetry and demonstrate its geometry independence.
• Applied Gauss-Codazzi projection techniques.
• Examined contributions from the bulk Weyl tensor.
• Evaluated effective gravitational constant under low-energy limits.
• Established G_eff(ρ) = G_N·exp(−ρ/ρ_c) with significant corrections.
• Resolved the open problem related to previous findings.
• Identified numerical divergence in iterative Tolman-Oppenheimer-Volkoff equations as an artefact.