A review about Invariance Induced Gravity: Gravity and Spin from Local Conformal-Affine Symmetry

Abstract

In this review paper, we discuss how gravity and spin can be obtained as the realization of the local Conformal-Affine group of symmetry transformations. In particular, we show how gravitation is a gauge theory which can be obtained starting from local invariance as the Poincaré local symmetry.

23 pages, to appear in Foundations of Physics

References in corpus (4)

• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• f(R) Gravity with Torsion: The Metric-Affine Approach
• f(R) gravity with torsion: a geometric approach within the J-bundles framework
• Space-time deformations as extended conformal transformations

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• Tolman-Oppenheimer-Volkoff Equations in Modified Gauss-Bonnet Gravity
• Conformal Transformations and Weak Field Limit of Scalar-Tensor Gravity
• A Discussion on Dirac Field Theory, No-Go Theorems and Renormalizability
• The Affine Structure of Gravitational Theories: Symplectic Groups and Geometry
• Scalar torsion and a new symmetry of general relativity
• Spherically symmetric solutions of light Galileon
• On the Bach and Einstein equations in presence of a field
• Einstein Equations from Riemann-only Gravitational Actions
• Deformations of three-dimensional metrics