Search results for "Classical unified field theories"

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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Classical Field Theory of Gravitation

2012

The classical field theories developed in the preceding chapters all have in common that they are formulated on a flat spacetime, i.e. on a four-manifold which is a Euclidean space and which locally is decomposable into a direct product M 4 = ℝR3 ℝR of a physical space ℝR3 x of motions, and a time axis ℝRt. The first factor is the threedimensional space as it is perceived by an observer at rest while the time axis displays the (coordinate) time that he/she measures on his/her clocks. This spacetime is endowed with the Poincare group as the invariance group of physical laws and inherits the corresponding specific causality structure.

PhysicsClassical unified field theoriesSpacetimeEuclidean spacePoincaré groupMinkowski spaceScalar theories of gravitationClassical field theoryNordström's theory of gravitationMathematical physics
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