Inspiraling black-hole binary spacetimes: Challenges in transitioning from analytical to numerical techniques

Understand

We explore how a recently developed analytical black-hole binary spacetime can be extended using numerical simulations to go beyond the slow-inspiral phase.

• The analytic spacetime solves the Einstein field equations approximately, with the approximation error becoming progressively smaller the more separated the binary.
• To continue the spacetime beyond the slow-inspiral phase, we need to transition.
• Such a transition was previously explored at smaller separations.