In the presence of two black holes, there can be a region of space between them, commonly referred to as the "intermediate region" or the "binary black hole system." This region is defined as the space lying between the event horizons of the two black holes.
The event horizon of a black hole is the boundary beyond which nothing, not even light, can escape the gravitational pull of the black hole. When two black holes are in close proximity, their event horizons may merge, creating a shared or overlapping region. However, even in this case, there is still space between the merged event horizons.
Inside the event horizons of the individual black holes, the gravitational forces are extremely strong, and the curvature of spacetime becomes severe. It is not possible for any form of matter or information to escape from within the event horizons.
Outside the event horizons, there is still space between the black holes where the gravitational influence of each black hole can be felt. This region may experience significant distortions in spacetime, resulting in complex gravitational interactions between the black holes.
The study of binary black hole systems is an active area of research in astrophysics, and observations and simulations have provided valuable insights into the behavior and dynamics of such systems.