标题： 非线性σ模型上的黑洞时空标量场 显示英文标题

标题： Scalar fields from nonlinear sigma models on black hole spacetimes

摘要： 带有非平凡动能项的标量场来源于非线性sigma模型，这在引力的紫外完备理论如弦理论中是有动机的。 我们讨论带有相互作用势的$\mathrm{SL}(2,\mathbb{R})$和$\mathrm{O}(3)$sigma模型，并在黑洞时空上模拟它们的完整非线性动力学。 我们研究了该场作为sigma模型曲率的函数的性质，与自由质量标量情况相比。 在吸积过程中，$\mathrm{SL}(2,\mathbb{R})$模型表现得像一个具有吸引相互作用的自相互作用场，而$\mathrm{O}(3)$模型则表现出排斥现象。 在双黑洞系统的情况下，当场的康普顿波长大于双星分离时，与非相互作用情况相比，这些模型分别导致引力波形的正或负去相位。 我们没有观察到玻色-爱因斯坦凝聚发射，这表明非线性倾向于抑制这种现象。 我们的结果突显了动能项和势能项在确定场动力学中的重要性。 显示英文摘要

摘要： Scalar fields with non-trivial kinetic term derived from a nonlinear sigma model are motivated by UV completions of gravity such as string theory. We discuss the $\mathrm{SL}(2,\mathbb{R})$ and $\mathrm{O}(3)$ sigma models with interacting potentials and simulate their full nonlinear dynamics on black hole spacetimes. We study the properties of the field as a function of the curvature of the sigma model with respect to the free massive scalar case. In the accretion process, the $\mathrm{SL}(2,\mathbb{R})$ model behaves as a self-interacting field with attractive interaction, while the $\mathrm{O}(3)$ one exhibits a repulsive phenomenology. In the case of a binary black hole system, these models cause a positive or negative dephasing of the gravitational waveform, respectively, when compared to the non-interacting case and as long as the field's Compton wavelength is larger than the binary separation. We observe no bosenova emission, which suggests that nonlinearities tend to suppress this phenomenon. Our results highlight how the kinetic and potential terms are both relevant in determining the field dynamics.