Deforming the matter sector via quadratic stress-energy functionals maps solutions of Einstein field equations to solutions of the Ricci-Bourguignon flow.
A Singular Conformal Spacetime
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abstract
The infinite cosmological "constant" limit of the de Sitter solutions to Einstein's equation is studied. The corresponding spacetime is a singular, four-dimensional cone-space, transitive under proper conformal transformations, which constitutes a new example of maximally-symmetric spacetime. Grounded on its geometric and thermodynamic properties, some speculations are made in connection with the primordial universe.
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Solutions to the Ricci Flow via Einstein Field Equations
Deforming the matter sector via quadratic stress-energy functionals maps solutions of Einstein field equations to solutions of the Ricci-Bourguignon flow.