Nonzero Spatial Curvature in Symmetric Teleparallel Cosmology

2023/10/06 by Paliathanasis, Andronikos · 2 citations
#Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2310.04195

Abstract

We consider the symmetric teleparallel f( Q) -gravity in Friedmann--Lema\^ıtre--Robertson--Walker cosmology with nonzero spatial curvature. For a nonlinear f( Q) model there exist always the limit of General Relativity with or without the cosmological constant term. The de Sitter solution is always provided by the theory and for the specific models f_A( Q) ≃ Q^\fracαα-1% ~,~f_B( Q) ≃ Q+f₁Q^\fracαα-1 and f_C( Q) ≃ Q+f₁Qln Q it was found to be the unique attractor. Consequently small deviations from STGR can solve the flatness problem and lead to a de Sitter expansion without introduce a cosmological constant term. This result is different from that given by the power-law theories for the other two scalar of the trinity of General Relativity. What makes the nonlinear symmetric teleparallel theory to stand out are the new degree of freedom provided by the connection defined in the non-coincidence frame which describes the nonzero spatial curvature.

Cited by

• A novel non-metricity extension of scalar-tensor gravity in spatially curved spacetime
• Can an Extra Degree of Freedom in Scalar-Tensor Non-Metricity Gravity Account for the Evolution of the Universe?

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