In the Alcubierre warp-drive spacetime, we investigate the following scalar curvature invariants: the scalar I, derived from a quadratic contraction of the Weyl tensor, the trace R of the Ricci tensor, and the quadratic r1 and cubic r2 invariants from the trace-adjusted Ricci tensor. In four-dimensional spacetime the trace-adjusted Einstein and Ricci tensors are identical, and their unadjusted traces are oppositely signed yet equal in absolute value. This allows us to express these Ricci invariants using Einstein‘s curvature tensor, facilitating a direct interpretation of the energy-momentum tensor. We present detailed plots illustrating the distribution of these invariants. Our findings underscore the requirement for four distinct layers of an anisotropic stress-energy tensor to create the warp bubble. Additionally, we delve into the Kretschmann quadratic invariant decomposition. We provide a critical analysis of the work by Mattingly et al., particularly their underrepresentation of curvature invariants in their plots by 8 to 16 orders of magnitude. A comparison is made between the spacetime curvature of the Alcubierre warp-drive and that of a Schwarzschild black hole with a mass equivalent to the planet Saturn. The paper addresses potential misconceptions about the Alcubierre warp-drive due to inaccuracies in representing spacetime curvature changes and clarifies the classification of the Alcubierre spacetime, emphasizing its distinction from class B warped product spacetimes.

在阿尔库别尔曲速驱动时空中，我们研究了以下标量曲率不变量：标量I，源自 Weyl 张量的二次收缩、Ricci 张量的迹R以及来自迹的二次r1和三次r2不变量调整后的 Ricci 张量。在四维时空中，迹调整的爱因斯坦张量和里奇张量是相同的，它们未调整的迹的符号相反，但绝对值相等。这使我们能够使用爱因斯坦的曲率张量来表达这些里奇不变量，从而有助于直接解释能量动量张量。我们提出了详细的图来说明这些不变量的分布。我们的研究结果强调了需要四个不同层的各向异性应力-能量张量来创建扭曲气泡。此外，我们还深入研究了 Kretschmann 二次不变分解。我们对 Mattingly 等人的工作进行了批判性分析，特别是他们的图中曲率不变量的代表性不足 8 到 16 个数量级。对阿尔库别尔曲速驱动器的时空曲率与质量相当于土星的史瓦西黑洞的时空曲率进行了比较。该论文解决了由于表示时空曲率变化的不准确而对阿尔库别尔曲速驱动的潜在误解，并澄清了阿尔库别尔时空的分类，强调其与 B 类扭曲产物时空的区别。