论文标题

$ f(q,t)$重力中的典型宇宙和宇宙加速度

Quintessence Universe and cosmic acceleration in $f(Q,T)$ gravity

论文作者

Koussour, M., Myrzakulov, N., Shekh, S. H., Bennai, M.

论文摘要

宇宙加速和暗能量的问题是科学社会目前构成的谜团之一,即一般相对性无法解决。 In this work, we have considered alternative models to explain this late-time acceleration in a flat Friedmann-Lemaî% tre-Robertson-Walker (FLRW) Universe within the framework of the $% f\left(Q,T\right) $\ modified gravity theory (where $Q$ is the non-metricity and $T$ is the trace of the energy-momentum tensor) recently proposed by Xu et al. (Eur。Phys。J。C 79(2019)708),这是$ f \ left(q \右)$重力的延伸,并增加了$ t $术语。在这里,我们假定$ f \ left(q,t \ right)=αq+βq^{2}+γt$的特定形式,其中$%α$,$β$和$β$是免费的模型参数,并通过假设COSMIC TIME-REDSHIFT RELINATION获得了精确的解决方案,因为$ t(z) nt_ {0}} {m} g(z)$,该$产生$ h(z)= \ frac {%mh_ {0}} {m+n} \ left [\ frac {\ frac {1} {g(z)}+1 \ m $ m $ $ n $ nes $ nes $ nes us-m $ m $ n n n n n n n n n n n n n n n n n os $ n n $ te,哈勃参数的数据点$ h \ left(z \右)$。另外,我们发现不同宇宙参数的行为是减速参数$%\ left(q \右)$,能量密度$ \ left(ρ\右)$,压力$ $ \ left(p \右)$和eos参数$ \ left(ω\ right)$,并将它们与仪表结果进行比较。为了确保结果的有效性,我们与混蛋参数一起研究了能量条件。最后,我们发现我们的模型的行为与典型宇宙相似。

The problem of cosmic acceleration and dark energy is one of the mysteries presently posed in the scientific society that general relativity has not been able to solve. In this work, we have considered alternative models to explain this late-time acceleration in a flat Friedmann-Lemaî% tre-Robertson-Walker (FLRW) Universe within the framework of the $% f\left(Q,T\right) $\ modified gravity theory (where $Q$ is the non-metricity and $T$ is the trace of the energy-momentum tensor) recently proposed by Xu et al. (Eur. Phys. J. C 79 (2019) 708), which is an extension of $f\left( Q\right) $ gravity with the addition of the $T$ term. Here, we presume a specific form of $f\left( Q,T\right) =αQ+βQ^{2}+γT$ where $% α$, $β$ and $γ$ are free model parameters, and obtained the exact solutions by assuming the cosmic time-redshift relation as $t(z)=\frac{% nt_{0}}{m}g(z)$ which produces the Hubble parameter of the form $H(z)=\frac{% mH_{0}}{m+n}\left[ \frac{1}{g(z)}+1\right] $ where $m$ and $n$ are the non-negative constants, we find the best values for them using 57 data points of the Hubble parameter $H\left( z\right) $. Also, we find the behavior of different cosmological parameters as the deceleration parameter $% \left( q\right) $, energy density $\left( ρ\right) $, pressure $% \left(p\right) $ and EoS parameter $\left( ω\right) $ and compare them with the observational results. To ensure the validity of the results, we studied the energy conditions along with jerk parameter. Finally, we find that our model behaves similarly to the quintessence Universe.

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