How different connections in flat FLRW geometry impact energy conditions in $f(Q)$ theory?
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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866912083663126528 |
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| author | Subramaniam, Ganesh De, Avik Loo, Tee-How Goh, Yong Kheng |
| author_facet | Subramaniam, Ganesh De, Avik Loo, Tee-How Goh, Yong Kheng |
| contents | In this study of the modified $f(Q)$ theory of gravity in the spatially flat Friedmann-Lemaître-Robertson-Walker (FLRW) spacetime, we explore all the affine connections compatible with the symmetric teleparallel structure; three classes of such connections exist, each involving an unknown time-varying parameter $γ(t)$. Assuming ordinary barotropic fluid as the matter source, we first derive the Friedmann-like pressure and energy equations. Next we impose constraints on the parameters of two separate $f(Q)$ models, $f(Q)=Q+βQ^2$ and $f(Q)=Q+β\sqrt{-Q}$ from the traditional energy conditions. Observational values of some prominent cosmological parameters are used for this purpose, yielding an effective equation of state $ω^{eff}=-0.82$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_02300 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | How different connections in flat FLRW geometry impact energy conditions in $f(Q)$ theory? Subramaniam, Ganesh De, Avik Loo, Tee-How Goh, Yong Kheng General Relativity and Quantum Cosmology In this study of the modified $f(Q)$ theory of gravity in the spatially flat Friedmann-Lemaître-Robertson-Walker (FLRW) spacetime, we explore all the affine connections compatible with the symmetric teleparallel structure; three classes of such connections exist, each involving an unknown time-varying parameter $γ(t)$. Assuming ordinary barotropic fluid as the matter source, we first derive the Friedmann-like pressure and energy equations. Next we impose constraints on the parameters of two separate $f(Q)$ models, $f(Q)=Q+βQ^2$ and $f(Q)=Q+β\sqrt{-Q}$ from the traditional energy conditions. Observational values of some prominent cosmological parameters are used for this purpose, yielding an effective equation of state $ω^{eff}=-0.82$. |
| title | How different connections in flat FLRW geometry impact energy conditions in $f(Q)$ theory? |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2304.02300 |