Scalars, Vectors and Tensors from Metric-Affine Gravity

Details Scalars, Vectors and Tensors from Metric-Affine Gravity Scalars, Vectors and Tensors from Metric-Affine Gravity

2011-10-24

arxiv.org/abs/1110.5168v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pp

Scientific paper

The metric-affine gravity provides a useful framework for analyzing gravitational dynamics since it treats metric tensor and affine connection as fundamentally independent variables. In this work, we show that, a metric-affine gravity theory composed of the invariants formed from non-metricity, torsion and curvature tensors decomposes exhaustively into a theory of scalar, vector and tensor fields. These fields are natural candidates for the ones needed by various cosmological phenomena. Indeed, we show that the model accommodates TeVeS gravity (relativistic modified gravity theory), vector inflation, and aether-like models. Detailed analyses of these and other phenomena can lead to a standard metric-affine gravity model encoding scalars, vectors and tensors necessitated by cosmology.

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