Liouville space-time in general projective relativity

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Liouville Equations, Relativity, Space-Time Functions, Universe, Cosmology, Hyperspheres, Relativistic Theory

Scientific paper

The present solution of general projective relativity (GPR) vacuum-field equations for Liouville space-time establishes that the harmonic coordinate condition for the Liouville line-element is satisfied in GPR when the coordinate condition in general relativity is satisfied and n = -1/3. Attention is also given to the harmonic coordinate condition and the singular behavior of the Kretschmann scalar for this solution.

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