(A)dS$\mathbf{_4}$ in Bondi gauge

Understand

We obtain the general asymptotic solutions of Einstein gravity with or without cosmological constant in Bondi gauge.

• The Bondi gauge was originally introduced in the context of gravitational radiation in asymptotically flat gravity.
• In the original work, initial conditions were prescribed at a null hypersurface and the Einstein equations were shown to take a nested form, which may be used to explicitly integrate them asymptotically.
• We streamline the derivation of the general asymptotic solution in the asymptotically flat case, and derive the most general asymptotic solutions for the case of non-zero cosmological constant of either sign (asymptotically locally AdS and dS solutions).