The dynamical evolution of self-interacting scalars is of paramountimportance in cosmological settings, and can teach us about the content ofEinstein's equations. In flat space, nonlinear scalar field theories can giverise to localized, non-singular, time-dependent, long-lived solutions called{\it oscillons}. Here, we discuss the effects of gravity on the properties andformation of these structures, described by a scalar field with a double wellpotential. We show that oscillons continue to exist even when gravity is turnedon, and we conjecture that there exists a sequence of critical solutions withinfinite lifetime. Our results suggest that a new type of critical behaviorappears in this theory, characterized by modulations of the lifetime of theoscillon around the scaling law and the modulations of the amplitude of thecritical solutions.
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机译：自交互标量的动态演化在宇宙学环境中至关重要，可以使我们了解爱因斯坦方程的内容。在平坦的空间中，非线性标量场理论可以产生称为{\ it oscillons}的局部，非奇异，与时间有关的长寿命解决方案。在这里，我们讨论了重力对这些结构的性质和形成的影响，用具有双井位势的标量场描述。我们表明，即使在重力作用下，摆锤仍会继续存在，并且我们推测在有限的寿命内存在一系列关键解。我们的结果表明，在这种理论中出现了一种新型的临界行为，其特征是围绕定标律的变幅震荡器寿命的调制以及临界解的幅度调制。
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