Black holes are the elementary particles of gravity, the final state of sufficiently massive stars and of energetic collisions. With a forty-year long history, black hole physics is a fully-blossomed field which promises to embrace several branches of theoretical physics. Here I review the main developments in highly dynamical black holes with an emphasis on high energy black hole collisions and probes of particle physics via superradiance. This write-up, rather than being a collection of well known results, is intended to highlight open issues and the most intriguing results.Keywords Black holes · Superradiance · Cosmic Censorship · Transplanckian collisions
IntroductionThe Kerr-Newman family of black holes in stationary four-dimensional, asymptotically flat spacetimes exhausts all possible electro-vacuum solutions in General Relativity. Theoretical aspects of black hole physics were fully developed decades ago, when the Kerr-Newman family was discovered and characterized. Most of the tools to understand black hole physics have been in place since that period and most processes involving black holes were controlled at the order-of-magnitude level for at least two decades. Perhaps due to these reasons, "black hole physics" conjures up images of horizons and time-warps and old-fashioned, frozen-in-time topics to lay audiences. However, in the last years the activity in the field is bubbling up Vitor Cardoso CENTRA, Departamento de Física, Instituto Superior Técnico, Universidade Técnica de Lisboa -UTL, Av. Rovisco Pais 1, 1049 Lisboa, Portugal E-mail: vitor.cardoso@ist.utl.pt Present address: Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2J 2W9, Canada 2 Vitor Cardoso and the interest in these issues has widened, driven by several unrelated events at the observational/instrumental, technical and conceptual levels such as (i) our capacity to observationally scrutinize the region close to the horizon within a few Schwarzschild radii, with radio and deep infrared interferometry, of which we have seen but the first steps [1,2,3,4];(ii) the ability to measure black hole spins more accurately than ever before using X-ray spectroscopy [5,6] or "continuum-fitting" methods [7]. Measurement of black hole mass and spin is one necessary step in testing General Relativity [8]; (iii) huge technological progress in gravitational-wave observatories, some of which had been gathering data at design sensitivities for several years and are now being upgraded to sensitivities one order of magnitude higher (black hole binaries are thought to be among the first objects to ever be detected in the gravitational-wave spectrum);(iv) our ability to numerically evolve black hole binaries at the full nonlinear level [9,10,11] and its immediate importance for gravitational-wave searches and high-energy physics [12]; (v) improvement of perturbative schemes, either by an understanding of regularization schemes to handle the self-force [13,14], or by faster and more powerful methods to deal with the full ladder of pe...