The partial Bondi gauge

Abstract: I will present an analysis of 4d gravity in a partial Bondi gauge, where only three conditions instead of the usual four are imposed on the metric. The so-called determinant condition usually imposed on the angular metric is in particular dropped. This partial gauge still enables to construct a solution space, which can accommodate an arbitrary cosmological constant, boundary sources, the ''trace of the shear'', and polyhomogeneous terms. After presenting this solution space I will discuss the asymptotic symmetries. The partial gauge is in particular adapted to treating in a unified manner and contrasting the celebrated Bondi-Sachs gauge, and the Newman-Unti gauge, which we find to be inequivalent. This latter does indeed enable to access a new asymptotic symmetry. This construction generalizes previous work in 3d gravity, which I will also present as further motivation for the 4d extension.

HEP - theorymathematical physics

Audience: researchers in the topic

Physics @ Boundaries Workshop