临界2 + 1Horava理论的渐近平坦性和非平坦解
Asymptotic flatness and nonflat solutions in the critical 2+1 Horava theory
摘要：
2 + 1维的Horava理论可以在耦合常数空间中的临界点处公式化，在那里它没有局部自由度。这表明这个临界情况可能与2 + 1广义相对论有许多共同的特征，特别是它的大距离有效作用量是二阶导数。为了加深这种关系，我们研究了有效作用量的渐近平坦解。本文从2 + 1广义相对论中引入渐近平坦性的一般定义，在此定义中，我们逼近了一个具有非固定锥角的渐近平坦区域。证明了一类正则渐近平坦解是完全平坦的。该类的特征在于具有非负能量（当Ricci标量的耦合常数为正时）。我们提出了一个详细的规范分析的有效行动表明，动力学的理论禁止当地的自由度。与2 + 1广义相对论的另一个相似之处是不存在牛顿力。与这些结果相反，我们发现了反对与2 + 1广义相对论相似的证据：我们发现了同一有效理论的精确非平坦解。这个解在渐近平坦解的集合之外。
英文摘要：
The Horava theory in 2+1 dimensions can be formulated at a critical point in the space of coupling constants where it has no local degrees of freedom. This suggests that this critical case could share many features with 2+1 general relativity, in particular its large-distance effective action that is of second order in derivatives. To deepen on this relationship, we study the asymptotically flat solutions of the effective action. We take the general definition of asymptotic flatness from 2+1 general relativity, where an asymptotically flat region with a nonfixed conical angle is approached. We show that a class of regular asymptotically flat solutions are totally flat. The class is characterized by having nonnegative energy (when the coupling constant of the Ricci scalar is positive). We present a detailed canonical analysis on the effective action showing that the dynamics of the theory forbids local degrees of freedom. Another similarity with 2+1 general relativity is the absence of a Newtonian force. In contrast to these results, we find evidence against the similarity with 2+1 general relativity: we find an exact nonflat solution of the same effective theory. This solution is out of the set of asymptotically flat solutions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
