Non-metricity with bounday terms: $f(Q,C)$ gravity and cosmology
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| Format: | Preprint |
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2023
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| _version_ | 1866929304412094464 |
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| author | De, Avik Loo, Tee-How Saridakis, Emmanuel N. |
| author_facet | De, Avik Loo, Tee-How Saridakis, Emmanuel N. |
| contents | 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 form the standard Levi-Civita Ricci scalar $\mathring R$. 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2308_00652 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Non-metricity with bounday terms: $f(Q,C)$ gravity and cosmology De, Avik Loo, Tee-How Saridakis, Emmanuel N. General Relativity and Quantum 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 form the standard Levi-Civita Ricci scalar $\mathring R$. 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. |
| title | Non-metricity with bounday terms: $f(Q,C)$ gravity and cosmology |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2308.00652 |