Title: Mimicking dark matter in Horndeski gravity Show Chinese title

Title: 在霍恩德斯基引力中模仿暗物质

Abstract: Since the rediscovery of Horndeski gravity, a lot of work has been devoted to the exploration of its properties, especially in the context of dark energy. However, one sector of this theory, namely the one containing the coupling of the Einstein tensor to the kinetic term of the scalar field, shows some surprising features in the construction of black holes and neutron stars. Motivated by these new results, I explore the possibility that this sector of Horndeski gravity can mimic cold dark matter at cosmological level and also explain the flattening of galactic rotation curves. I will show that, in principle, it is possible to achieve both goals with at least two scalar fields and a minimal set of assumptions. Show Chinese abstract

Abstract: 自从重新发现霍恩德斯基引力以来，许多工作致力于探索其特性，尤其是在暗能量的背景下。 然而，该理论的一个领域，即包含爱因斯坦张量与标量场动能项耦合的领域，在构建黑洞和中子星时表现出一些令人惊讶的特性。 受这些新结果的启发，我探讨了这一霍恩德斯基引力领域在宇宙学层面模仿冷暗物质的可能性，以及解释星系旋转曲线平坦化的可能性。 我将表明，原则上可以通过至少两个标量场和一组最小的假设来实现这两个目标。