论文标题
Ricci-Gauss-Bonnet宇宙学的二次形式的宇宙进化的命运
The Fate of the Universe Evolution in the Quadratic Form of Ricci-Gauss-Bonnet Cosmology
论文作者
论文摘要
我们研究了由于宇宙的加速扩展而导致未来奇异性的可能性。已经发现，重力理论包括Ricci starar $ r $和高斯 - 骨网net不变$ \ MATHCAL {G} $，称为$ f（r，\ nathcal {g}）$重力，可以以Quadratic形式查看。使用哈勃参数表示三个模型，以代表有限且无限的未来。模型的参数根据其物理和几何特性进行分析。这项研究还探讨了修改后的引力理论的特性，并且未来的奇异性以及少量或伪RIP都被视为对宇宙命运的威胁。我们提出了标量扰动方法，用于扰动进化方程并证明其稳定性。
We investigate the possibility of future singularity due to the accelerating expansion of the Universe. It has been found that the gravitational theory comprises Ricci scalar $R$ and Gauss-Bonnet invariant $\mathcal{G}$, known as $F(R,\mathcal{G})$ gravity, which can be viewed in the quadratic form. Three models are presented using Hubble parameters to represent a finite and infinite future. The parameters of the models are analyzed on the basis of their physical and geometrical properties. This study also explores the properties of the modified gravitational theory, and neither the future singularity nor the little or pseudo rip is posed as threats to the fate of the Universe. We present scalar perturbation approaches to perturbed evolution equations and demonstrate their stability.
