外岑伯克时空中博恩-因菲尔德行列式引力的分析
An analysis of Born-Infeld determinantal gravity in Weitzenbock spacetime
摘要：
本文详细研究了在Weitzenbock时空中形成的引力场的Born-Infeld理论。在低场极限Born-Infeld常数趋于无穷大的情况下，作用量在挠率二次形式上构造为爱因斯坦引力，并且在$D$时空维中由vielbein场的二阶场方程描述。运动方程的推导，并从他们的一些属性进行了讨论。特别是，我们表明，在相当一般的情况下，运动方程是爱因斯坦的广义相对论加上一个能量动量张量的纯几何性质。这个张量完全是从定义时空结构的平行化中获得的，它被编码在一组D光滑的、处处非空的、全局定义的1-形式中。作为一个例子，球对称性进行了研究，我们评论的史瓦西几何的出现在这个框架内。它的潜在（定期）扩展是可以预见的。
英文摘要：
The Born-Infeld theory of the gravitational field formulated in Weitzenbock spacetime is studied in detail. The action, constructed quadratically upon the torsion two-form, reduces to Einstein gravity in the low field limit where the Born-Infeld constant goes to infinity, and it is described by second order field equations for the vielbein field in $D$ spacetime dimensions. The equations of motion are derived, and a number of properties coming from them are discussed. In particular, we show that under fairly general circumstances, the equations of motion are those of Einstein's General Relativity plus an energy-momentum tensor of purely geometrical character. This tensor is obtained solely from the parallelization defining the spacetime structure, which is encoded in a set of D smooth, everywhere non-null, globally defined 1-forms. Spherical symmetry is studied as an example, and we comment on the emergence of the Schwarzschild geometry within this framework. Potential (regular) extensions of it are envisioned.
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。
