Relativity and Cosmology

    

Beyond Ricci Suppression: Complete Curvature Dynamics in Riemannian Gravitation

Authors: Bernard Lavenda

We propose Ricci UNsuppressed Gravity (RUNG), a framework that rejects Ricci-flat assumptions in favor of full Riemann dynamics. We present a unified framework that demonstrates sectional curvaturesof the Riemann tensor—-not Ricci contractions-—govern gravitational wave (GW) physics. Through rigorous analysis of connection coefficients, we identify how Christoffel symbols mediate stress term suppression while preserving essential physics. Our model reveals longitudinal "breather modes" (ell=0) represent spacetime expansion/contraction at sub-luminal speeds ((v_{ttheta}<1)), distinct from GR's transverse-traceless (v_{ttheta}=c) waves. Static curvature stresses, highlighting nonlinear stress-energy effects absent in General Relativity (GR), and restoring suppressed terms in static solutions like Schwarzschild, are shown to have observational consequences even though they are deemed unobservable through projections onto non-timelike surfaces.

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[v1] 2025-10-04 16:19:56

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