标题： 黑洞和解生成技术 显示英文标题

标题： Black holes and solution generating techniques

摘要： 多黑洞解在理论和现象学观点上都起着重要作用。 在本论文中，我们借助解生成技术，在纯爱因斯坦广义相对论中构造了一些规则的多黑洞时空。 我们首先对解生成技术的历史进行展望，然后详细解释厄恩斯特形式主义和逆散射方法。 这些是后续论文中应用的技术。 随后，我们构建嵌入外部引力场中的多黑洞解：通过适当选择场的多极参数，可以得到许多有趣情况下的平衡配置，如共线静态黑洞的集合或加速黑洞的链。 然后，我们考虑“无物”膨胀气泡作为多黑洞和黑洞环解的背景。 气泡的膨胀行为提供了平衡黑洞之间引力吸引所需的力，从而达到平衡。 最后，我们构造了一个代表嵌入“旋转”宇宙中的黑洞的解，该解描述了一个时空漩涡。 此外，我们讨论了实施旋转背景以强制自旋-自旋配置的可能性，并在双克尔时空中共获得平衡配置。 显示英文摘要

摘要： Multi-black hole solutions play a relevant role both from the theoretical and the phenomenological point of view. In this Thesis, we construct some regular multi-black hole spacetimes in pure Einstein's General Relativity with the aid of solution generating techniques. We begin with a perspective on the history of solution generating techniques, and then we explain in detail the Ernst formalism and the inverse scattering method. These are the techniques that are applied in the rest of the Thesis. Subsequently, we construct multi-black hole solutions embedded in an external gravitational field: it is possible to obtain an equilibrium configuration in many interesting cases, like a collection of collinear static black holes or a chain of accelerating black holes, by choosing appropriately the multipole parameters of the field. Then, we consider the expanding bubbles of nothing as a background for multi-black hole and black ring solutions. The expanding behaviour of the bubbles provides the force necessary to balance the gravitational attraction among the black holes, and hence to reach the equilibrium. Finally, we construct a solution that represents a black hole embedded in a "swirling" universe, which describes a spacetime whirlpool. Moreover, we discuss the possibility of implementing the swirling background in order to enforce the spin-spin configuration, and reach an equilibrium configuration in a double-Kerr spacetime.