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arXiv 2103.06895gr-qchep-th
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标量张量有效场论中渐近平坦初值的构造

On the construction of asymptotically flat initial data in scalar-tensor effective field theory

Aron D Kovacs

摘要:

研究了一类标量张量引力有效场论的约束方程,包括作用量($4\partial$ ST)中直到$4$导数的算子。本文推广了广义相对论的共形横向无痕方法和共形薄夹层方法,将标量张量理论的约束方程改写为一组椭圆型偏微分方程。证明了在弱耦合下,在与广义相对论相似的条件下,渐近欧氏初始切片上相应的椭圆边值问题存在唯一解.此外,我们还发现了$4\partial$ ST理论的Bowen-York解的推广。这些结果表明,在广义相对论中构造初始数据的标准方法适用于弱耦合的$4\partial$ ST理论。

英文摘要:

We study the constraint equations for a class of scalar-tensor effective field theories of gravity, including the operators up to $4$ derivatives in the action ($4\partial$ST). We extend the conformal transverse traceless and conformal thin sandwich methods of General Relativity to rewrite the constraint equations of the scalar-tensor theory as a set of elliptic partial differential equations. It is shown that, at weak coupling, a unique solution exists to the corresponding elliptic boundary value problems on asymptotically Euclidean initial slices under similar conditions as in the case of General Relativity. Furthermore, we find a generalization of the Bowen-York solution for $4\partial$ST theories, too. These results demonstrate that standard methods for constructing initial data in General Relativity are applicable (with minimal modification) to weakly coupled $4\partial$ST theories.

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。

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