The paper explores the partial Bondi gauge in the context of asymptotic symmetries and charges in general relativity. The partial Bondi gauge is a broad setup that encompasses both the Bondi–Sachs (BS) and Newman–Unti (NU) gauges, allowing for a varying boundary metric. The authors focus on the asymptotic charges and their algebra in this gauge, particularly when the boundary metric is time-dependent but varies only in the transverse directions. Key findings include: 1. **Asymptotic Symmetries**: The partial Bondi gauge allows for two extra asymptotic symmetries, associated with non-vanishing charges labeled by free functions in the solution space. These symmetries arise from a weaker definition of the radial coordinate and introduce traces in the transverse metric. 2. **Complete Gauge Fixings**: Two new gauge fixings, called differential BS and NU gauges, are introduced. These fixings allow for an arbitrary finite number of angular traces to remain free, leading to genuine non-vanishing charges. 3. **Asymptotic Charges**: The charges are computed using standard covariant phase space methods. When the boundary metric is allowed to fluctuate, two new asymptotic charges appear, with symmetry generators corresponding to subleading terms in the radial part of the vector field. These charges are divergent but can be renormalized. 4. **Charge Algebra**: The algebra of the charges is studied using both the Barnich–Troessaert bracket and the Koszul bracket. The results show that the charge algebra contains a field-dependent two-cocycle, which drops when using the Koszul bracket. The paper also discusses the Carrollian interpretation of the new gauge fixings and provides perspectives for future work.The paper explores the partial Bondi gauge in the context of asymptotic symmetries and charges in general relativity. The partial Bondi gauge is a broad setup that encompasses both the Bondi–Sachs (BS) and Newman–Unti (NU) gauges, allowing for a varying boundary metric. The authors focus on the asymptotic charges and their algebra in this gauge, particularly when the boundary metric is time-dependent but varies only in the transverse directions. Key findings include: 1. **Asymptotic Symmetries**: The partial Bondi gauge allows for two extra asymptotic symmetries, associated with non-vanishing charges labeled by free functions in the solution space. These symmetries arise from a weaker definition of the radial coordinate and introduce traces in the transverse metric. 2. **Complete Gauge Fixings**: Two new gauge fixings, called differential BS and NU gauges, are introduced. These fixings allow for an arbitrary finite number of angular traces to remain free, leading to genuine non-vanishing charges. 3. **Asymptotic Charges**: The charges are computed using standard covariant phase space methods. When the boundary metric is allowed to fluctuate, two new asymptotic charges appear, with symmetry generators corresponding to subleading terms in the radial part of the vector field. These charges are divergent but can be renormalized. 4. **Charge Algebra**: The algebra of the charges is studied using both the Barnich–Troessaert bracket and the Koszul bracket. The results show that the charge algebra contains a field-dependent two-cocycle, which drops when using the Koszul bracket. The paper also discusses the Carrollian interpretation of the new gauge fixings and provides perspectives for future work.