The Cosmology of Quadratic Torsionful Gravity

Abstract

We study the cosmology of a quadratic metric-compatible torsionful gravity theory in the presence of a perfect hyperfluid. The gravitational action is an extension of the Einstein-Cartan theory given by the usual Einstein-Hilbert contribution plus all the admitted quadratic parity even torsion scalars and the matter action also exhibits a dependence on the connection. The equations of motion are obtained by regarding the metric and the metric-compatible torsionful connection as independent variables. We then consider a Friedmann-Lemaître-Robertson-Walker background, analyze the conservation laws, and derive the torsion modified Friedmann equations for our theory. Remarkably, we are able to provide exact analytic solutions for the torsionful cosmology.

V2, 17 pages, no figures, some references and comments added

References in corpus (6)

• Relativistic cosmology and large-scale structure
• Conservation laws in gravity: A unified framework
• Metric-Affine Gravity and Cosmology/Aspects of Torsion and non-Metricity in Gravity Theories
• The Perfect Hyperfluid of Metric-Affine Gravity: The Foundation
• Cosmological inflation driven by a scalar torsion function
• Supersymmetric near-horizon geometry and Einstein-Cartan-Weyl spaces

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• Einstein-Proca theory from the Einstein-Cartan formulation
• Metric-Affine Vector-Tensor Correspondence and Implications in $F(R,T,Q,\mathcal{T},\mathcal{D})$ gravity
• Myrzakulov $F(T,Q)$ gravity: cosmological implications and constraints
• Torsion driving cosmic expansion
• Riemann Tensor and Gauss-Bonnet density in Metric-Affine Cosmology
• Friedmann-like universes with non-metricity
• Cartan $F(R)$ Gravity and Equivalent Scalar-Tensor Theory
• Scalar-tensor representation to $f(R,T)-$brane with Gauss-Bonnet gravity
• Robustness of predicted CMB fluctuations in Cartan $F(R)$ gravity
• Holographic Dark Energy with Torsion
• On the dilation current in metric-affine gravity
• Metric-Affine Myrzakulov Gravity Theories