三维爱因斯坦-高斯-博内引力中的加速
Acceleration in 3D Einstein-Gauss-Bonnet Gravity
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中文总结 AI 辅助
该研究在2 + 1维爱因斯坦-高斯-博内引力中提出新精确解，推广C度规。通过单一变量确定时空结构，专注局部反德西特子类，在零耦合极限下有新发现，还确定畴壁存在及能量条件，找到非恒定曲率新解类。
中文摘要 AI 辅助
我们在2 + 1维爱因斯坦-高斯-博内引力中提出了一类新的精确解，它推广了C度规。这组度规等于C度规乘以一个因子，该因子与无质量标量场一起，依赖于一个单一变量，其值决定时空结构。如同在爱因斯坦引力中一样有三类度规，但在每一类中我们发现六个不同的解子类。讨论其基本结构后，我们专注于一个局部反德西特的子类。在零耦合极限下，该子类解不仅定义良好且恢复C度规，还包含两个先前未知的反德西特时空表示。此外，我们确定了畴壁的存在并描述其能量条件。我们还发现了非恒定曲率的新解类，其解释尚待理解。
英文摘要
We present a new class of exact solutions in Einstein-Gauss-Bonnet gravity in 2+1 dimensions that generalize the C-metric. This set of metrics equals the C-metric multiplied by a factor which, along with the massless scalar field, depends on a single variable whose value governs the structure of the spacetime. As in Einstein gravity there are three classes of metrics, but within each class we find six distinct subclasses of solutions. After discussing their basic structure, we concentrate only on one subclass that is locally AdS. In the zero-coupling limit, this subclass of solutions not only remains well defined and recovers the C-metric but also encompasses two previously unknown representations of the AdS spacetime. Furthermore, we establish the existence of a domain wall and delineate its energy conditions. We also find new classes of solutions of non-constant curvature, whose interpretation remains to be understood.
