Non-metricity with boundary terms: f(Q, C) gravity and cosmology
We formulate f(Q, C) gravity and cosmology. Such a construction is based on the symmetric teleparallel geometry, but apart form the non-metricity scalar Q we incorporate in the Lagrangian the boundary term C of its difference from the standard Levi-Civita Ricci scalar R. We extract the general metri...
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Main Authors: | , , |
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Format: | Article |
Published: |
IOP Publishing
2024
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Subjects: | |
Online Access: | http://eprints.um.edu.my/45498/ https://doi.org/10.1088/1475-7516/2024/03/050 |
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Institution: | Universiti Malaya |
Summary: | We formulate f(Q, C) gravity and cosmology. Such a construction is based on the symmetric teleparallel geometry, but apart form the non-metricity scalar Q we incorporate in the Lagrangian the boundary term C of its difference from the standard Levi-Civita Ricci scalar R. We extract the general metric and affine connection field equations, we apply them at a cosmological framework, and adopting three different types of symmetric teleparallel affine connections we obtain the modified Friedmann equations. As we show, we acquire an effective dark -energy sector of geometrical origin, which can lead to interesting cosmological phenomenology. Additionally, we may obtain an effective interaction between matter and dark energy. Finally, examining a specific model, we show that we can obtain the usual thermal history of the universe, with the sequence of matter and dark -energy epochs, while the effective dark -energy equation -of -state parameter can be quintessence -like, phantom -like, or cross the phantom -divide during evolution. |
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