Relativity and Cosmology

    

Source-Free Conformal Waves on Spacetime

Authors: Carsten S. P. Spanheimer

Investigating conformal metrics on (Pseudo-)Riemannian spaces in any number of dimensions, it is shown that the pure scalar curvature R as the Lagrange densityleads to a homogeneous d'Alembert equation on spacetime which allows for source-free wave phenomena. This suggests to use the scalar curvature R itself rather than the Hilbert-Einstein action R*sqrt(abs(g)) as the governing Lagrange density for General Relativity to also find general, non-conformal solutions.

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[v1] 2024-01-07 21:00:04

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