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arXiv 1409.0886hep-thastro-ph.COgr-qc
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引力红外修正的非线性动力学稳定性

The nonlinear dynamical stability of infrared modifications of gravity

Richard Brito, Alexandra Terrana, Matthew Johnson, Vitor Cardoso

摘要:

被Vainshtein机制“屏蔽”的标量力可能是理解我们宇宙宇宙膨胀的关键,同时预测大质量物体之间相互作用的新的和令人兴奋的特征。在这里,我们探讨的Vainshtein屏蔽机制的动力学,专注于DGP braneworld场景和dRGT大规模引力的去耦极限。我们表明,有一个庞大的初始条件,其演变是明确的,这是驱动到静态的,这些理论的筛选解决方案。筛选解决方案是稳定的,并在小的波动下表现一致:它们振荡,并最终解决到一个平衡的配置,振荡和阻尼的时间尺度由筛选解决方案的Vainshtein半径决定。在很晚的时候,幂律衰减england,与已知的分析结果一致。然而,我们也推测,物理上有趣的过程,如致密星的引力坍缩可能不具有适定的初值问题。最后,我们构造的解决方案与非平凡的多极结构描述的变形,非对称机构的屏蔽场,并表明,更高的多极屏蔽更有效地比非对称组件。

英文摘要:

Scalar forces "screened" by the Vainshtein mechanism may hold the key to understanding the cosmological expansion of our universe, while predicting new and exciting features in the interaction between massive bodies. Here we explore the dynamics of the Vainshtein screening mechanism, focusing on the decoupling limit of the DGP braneworld scenario and dRGT massive gravity. We show that there is a vast set of initial conditions whose evolution is well defined and which are driven to the static, screening solutions of these theories. Screening solutions are stable and behave coherently under small fluctuations: they oscillate and eventually settle to an equilibrium configuration, the timescale for the oscillations and damping being dictated by the Vainshtein radius of the screening solutions. At very late times, a power-law decay ensues, in agreement with known analytical results. However, we also conjecture that physically interesting processes such as gravitational collapse of compact stars may not possess a well-posed initial value problem. Finally, we construct solutions with nontrivial multipolar structure describing the screening field of deformed, asymmetric bodies and show that higher multipoles are screened more efficiently than the monopole component.

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