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arXiv 1005.4547gr-qchep-th
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大质量引力中的准线性静态解

Quasi-linear static solutions in massive gravity

Michael V. Bebronne

摘要:

大质量引力理论的静态真空球对称解具有两个积分常数:质量M和标量荷S。这种标量电荷的存在反映了引力相互作用相对于广义相对论的修正。令人惊讶的是,这些解决方案是非线性的,即使在很大的距离的来源,这意味着他们的渐近行为是不同的,从线性微扰理论。本文的目的是了解这些修改后的球对称解决方案出现的准线性近似,以推广到任何任意的质量分布。随着这些修改后的解决方案,我们发现了一类新的静态解具有汤川形状。

英文摘要:

The static vacuum spherically symmetric solutions of massive gravity theories possess two integration constant: the mass M and a scalar charge S. The presence of this scalar charge reflects the modification of the gravitational interaction as compared to General Relativity. Surprisingly, these solutions are non-linear even at large distances from the sources, implying that their asymptotic behavior is different from that obtained in the linear perturbation theory. The aim of this paper is to understand how these modified spherically symmetric solutions emerge from a quasi-linear approximation in order to generalize them to any arbitrary mass distribution. Along with these modified solutions, we found a new class of static solutions having a Yukawa shape.

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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