论文标题
限制$ f（\ Mathcal {r}，\ Mathscr {l} _M）$ fragity的各向异性宇宙学模型
Constraining Anisotropic Cosmological Model in $f(\mathcal{R},\mathscr{L}_m)$ Gravity
论文作者
论文摘要
有关当前宇宙学方面的观察证据告诉我们，大规模的宇宙中几乎没有各向异性的存在。在这里，在本文中，我们尝试研究局部旋转对称（LRS）均匀的bianchi-i时期，以及各向同性物质分布。这是在$ f（\ Mathcal {r}，\ Mathscr {l} _M）$ gravity的框架内完成的。特别是，我们考虑了一个非线性$ f（\ MATHCAL {r}，\ MATHSCR {L} _M）$模型， $ f（\ Mathcal {r}，\ Mathscr {l} _M）= \ dfrac {1} {2} {2} \ Mathcal {r}+\ \ \ \ \ Mathscr {l} _M^{\ {\ {\ \，α} $。此外，$ω$是状态参数方程，这对于确定宇宙的当前阶段至关重要。为了限制模型参数和状态参数方程，我们使用57个Hubble数据点和1048 Pantheon Supernovae类型IA数据样本。并且，对于我们的统计分析，我们使用Markoc Chain Monte Carlo（MCMC）模拟。此外，借助获得的参数值，我们测量了模型的各向异性参数。
The observational evidence regarding the present cosmological aspects tells us about the presence of very little anisotropy in the universe on a large scale. Here, in this paper, we attempt to study locally rotationally symmetric (LRS) homogeneous Bianchi-I spacetime with the isotropic matter distribution. This is done within the framework of $f(\mathcal{R},\mathscr{L}_m)$ gravity. Particularly, we consider a non-linear $f(\mathcal{R},\mathscr{L}_m)$ model, $f(\mathcal{R},\mathscr{L}_m)=\dfrac{1}{2}\mathcal{R}+\mathscr{L}_m^{\,α}$. Furthermore, $ω$, the equation of state parameter, which is vital stuff in determining the present phase of the universe is constrained. To constrain the model parameters and the equation of state parameter, we use 57 Hubble data points and 1048 Pantheon supernovae type Ia data sample. And, for our statistical analysis, we use Markoc Chain Monte Carlo (MCMC) simulation. Moreover, with the help of obtained values of parameters, we measure the anisotropy parameter for our model.
