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1990•Journal of Mathematical PhysicsRequires access

Curvature-squared cosmology in the first-order formalism

Bahman Shahid‐Saless

Open publisher page 15 citations

Abstract

Variation of the R+αR2 action with respect to independent metric and connection fields is shown to be equivalent to the metric-compatible fourth-order gravity coupled to a vector defined as a function of the trace of the energy-momentum tensor. The field equations are second order. The Friedmann cosmology based on this model is studied and it is shown to include nonsingular solutions at t=0.

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What this paper is about

Variation of the R+αR2 action with respect to independent metric and connection fields is shown to be equivalent to the metric-compatible fourth-order gravity coupled to a vector defined as a function of the trace of the energy-momentum tensor. The field equations are second order. The Friedmann cosmology based on this model is studied and it is shown to include nonsingular solutions at t=0.

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OpenAlex reports 15 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Variation of the R+αR2 action with respect to independent metric and connection fields is shown to be equivalent to the metric-compatible fourth-order gravity coupled to a vector defined as a function of the trace of the energy-momentum tensor. The field equations are second order. The Friedmann cosmology based on this model is studied and it is shown to include nonsingular solutions at t=0.

Key concepts: Cosmology, Mathematical physics, Physics, Curvature, Friedmann equations, Invertible matrix, Einstein field equations, Gravitational field

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