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arXiv 1802.09573gr-qc
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线性化无鬼引力场中静态p膜的引力场

The gravitational field of static p-branes in linearized ghost-free gravity

Jens Boos, Valeri P. Frolov, Andrei Zelnikov

摘要:

在线性化的无鬼引力框架下研究了D维Minkowski空间中静态p-膜的引力场.我们考虑的GF引力的具体模型由非局部形状因子$\exp(-\Box/μ^2)$和$\exp(\Box^2/μ^4)$参数化,其中$μ^{-1}$是非局部尺度。我们证明了广义相对论中p-膜的引力场的奇异行为可以通过非定域引入的短程修正来纠正,并导出了正则化的引力场的精确表达式,其几何可以写成一个翘曲度规.对于大的距离相比,规模的非局域性,$μr\rightarrow\infty$,我们的解决方案的线性广义相对论中发现的。

英文摘要:

We study the gravitational field of static p-branes in D-dimensional Minkowski space in the framework of linearized ghost-free (GF) gravity. The concrete models of GF gravity we consider are parametrized by the non-local form factors $\exp(-\Box/μ^2)$ and $\exp(\Box^2/μ^4)$, where $μ^{-1}$ is the scale of non-locality. We show that the singular behavior of the gravitational field of p-branes in General Relativity is cured by short-range modifications introduced by the non-localities, and we derive exact expressions of the regularized gravitational fields, whose geometry can be written as a warped metric. For large distances compared to the scale of non-locality, $μr\rightarrow\infty$, our solutions approach those found in linearized General Relativity.

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