  We propose a quasi-local stress tensor for the four-dimensional
asymptotically flat Robinson-Trautman geometries by taking the flat-space limit
from the corresponding asymptotically AdS solutions. This stress tensor results
in the correct charges of the generators of BMS symmetry if we define conformal
infinity by an anisotropic scaling of the metric components. Using flat-space
holography this stress tensor is related to expectation values of the stress
tensor in a dual field theory called BMS-invariant field theory (BMSFT). We
also calculate the two and three point functions of the proposed stress tensor.
