Search results for "Einstein tensor"

showing 2 items of 2 documents

Born-Infeld gravity and its functional extensions

2014

We investigate the dynamics of a family of functional extensions of the (Eddington-inspired) Born-Infeld gravity theory, constructed with the inverse of the metric and the Ricci tensor. We provide a generic formal solution for the connection and an Einstein-like representation for the metric field equations of this family of theories. For particular cases we consider applications to the early-time cosmology and find that non-singular universes with a cosmic bounce are very generic and robust solutions.

High Energy Physics - TheoryPhysicsNuclear and High Energy PhysicsFOS: Physical sciencesClassical field theoryRicci flowGeneral Relativity and Quantum Cosmology (gr-qc)General Relativity and Quantum CosmologyClassical unified field theoriesTheoretical physicsEinstein tensorsymbols.namesakeHigh Energy Physics - Theory (hep-th)Born–Infeld modelsymbolsRicci decompositionf(R) gravityRicci curvaturePhysical Review D
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Ricci Tensors on Some Infinite Dimensional Lie Algebras

1999

Abstract The Ricci tensor has been computed in several infinite dimensional situations. In this work, we shall be interested in the case of the central extension of loop groups and in the asymptotic behaviour of the Ricci tensor on free loop groups as the Riemannian metric varies.

Weyl tensorPure mathematicsRiemann curvature tensorCurvature of Riemannian manifoldsMathematical analysisRicci flowEinstein tensorsymbols.namesakeLanczos tensorsymbolsRicci decompositionMathematics::Differential GeometryRicci curvatureAnalysisMathematicsJournal of Functional Analysis
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