Regularized Einstein-Gauss-Bonnet theory of gravity in four dimensions is a new attempt to include nontrivial contributions of the Gauss-Bonnet term. In this paper, we make a detailed analysis on possible constraints of the model parameters of the theory from recent cosmological observations and some theoretical constraints, as well. Our results show that the theory with vanishing bare cosmological constant, ${\mathrm{\Lambda }}_0$, is ruled out by the current observational value of $w_{de}$ and the observations of gravitational-wave event GW170817 and the gamma-ray burst (GRB) GRB 170817A, as well. For a nonvanishing bare cosmological constant, instead, our results show that the current observation of the speed of gravitational waves (GWs) measured by GW170817 and GRB 170817A would place a constraint on $\tilde{\alpha }$, a dimensionless parameter of the theory, as $-7.78\times {10}^{-16}\le \tilde{\alpha }\le 3.33\times {10}^{-15}$.

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正则化4D爱因斯坦-高斯-引擎盖引力的理论和观测约束

正则化的爱因斯坦-高斯-邦纳特重力理论在四个维度上是一种新的尝试，它包含了高斯-邦纳特术语的非平凡贡献。在本文中，我们将从最近的宇宙学观测以及一些理论约束中对理论模型参数的可能约束进行了详细分析。我们的研究结果表明，该理论随着宇宙基本常数的消失而消失，${\mathrm{\Lambda }}_0$，被的当前观测值排除 $w_{dË}$以及引力波事件GW170817和伽马射线暴（GRB）GRB 170817A的观测。相反，对于一个不变的裸宇宙常数，我们的结果表明，当前对GW170817和GRB 170817A测量的重力波（GWs）速度的观测将对$\stackrel{〜}{\alpha }$，该理论的无量纲参数，如 $-7.78\times {10}^{-16}\le \stackrel{〜}{\alpha }\le 3.33\times {10}^{-15}$。