A Singular Conformal Spacetime

J. G. Pereira; J. P. Beltran Almeida; R. Aldrovandi

A Singular Conformal Spacetime

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arxiv gr-qc/0403099 v2 pith:SLJLLLZN submitted 2004-03-24 gr-qc hep-th

R. Aldrovandi , J. P. Beltran Almeida , J. G. Pereira This is my paper · ORCID

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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
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Deforming the matter sector via quadratic stress-energy functionals maps solutions of Einstein field equations to solutions of the Ricci-Bourguignon flow.

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