Recently Glavan and Lin (2020) formulated a novel Einstein–Gauss–Bonnet gravity in which the Gauss–Bonnet coupling has been rescaled as $\alpha ∕(D-4)$ and the $4D$ theory is defined as the limit $D\to 4$, which preserves the number degrees of freedom thereby free from the Ostrogradsky instability. We present exact spherically symmetric nonstatic null dust solutions in the novel 4D Einstein–Gauss–Bonnet gravity that bypasses the Lovelock theorem. Our solution represents radiating black holes and regains, in the limit $\alpha \to 0$, the famous Vaidya black hole of general relativity (GR). We discuss the horizon structure of black hole solutions to find that the three horizon-like loci that characterizes its structure, viz. $AH$, $EH$ and $TLS$ have the relationship $r_{EH}<r_{AH}=r_{TLS}$. The charged radiating black holes in the theory, generalizing Bonnor–Vaidya black holes, are also considered. In particular our results, in the limit $\alpha \to 0$, reduced exactly to vis-à-vis $4D$ black holes of GR.

最近，Glavan和Lin（2020）提出了一种新颖的爱因斯坦-高斯-贝内特引力，其中高斯-贝内特耦合已按比例缩放 $\alpha ∕（d-4）$ 和 $4d$ 理论被定义为极限 $d\to 4$，从而保留了数个自由度，从而避免了Ostrogradsky不稳定性。我们在绕过Lovelock定理的新型4D爱因斯坦-高斯-贝尼特引力中给出了精确的球对称非静态零尘埃解决方案。我们的解决方案是在极限范围内辐射黑洞并重新获得收益$\alpha \to 0$，著名的广义相对论（Vaidya）黑洞。我们讨论了黑洞解的层位结构，以发现表征其结构的三个层位状位点。$\mathrm{一种}H$， $ËH$ 和 $Ť\mathrm{大号}\mathrm{小号}$ 有关系 ${\mathrm{[R}}_{ËH}<{\mathrm{[R}}_{\mathrm{一种}H}={\mathrm{[R}}_{Ť\mathrm{大号}\mathrm{小号}}$。还考虑了理论上带电的辐射黑洞，即Bonnor–Vaidya黑洞的概化。特别是我们的结果，在极限$\alpha \to 0$，相对于 $4d$ GR的黑洞。