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gr-qc2026
Scalar Laplace-Beltrami harmonics and curvature-induced radial mode mixing in Friedmann-like cosmologies
Eduardo Bittencourt, Peter K. S. Dunsby, Bob Osano +1
We develop a harmonic framework for spherically symmetric Friedmann-like geometries with constant scalar curvature but non-zero trace-free Ricci curvature. This preserves Friedmann…
gr-qc2017
Reviving The Shear-Free Perfect Fluid Conjecture In General Relativity
Muzikayise E. Sikhonde, Peter K. S. Dunsby
Employing a Mathematica symbolic computer algebra package called xTensor, we present -covariant special case proofs of the shear-free perfect fluid conjecture in General Rel…