By virtue of the Noether theorems, the vast gauge redundancy of general relativity provides
us with a rich algebra of boundary charges that generate physical symmetries. These …

A bstract We perform a detailed study of the covariance properties of the symplectic potential
of general relativity on a null hypersurface, and of the different polarizations that can be used …

We study the subleading structure of asymptotically-flat spacetimes and its relationship to
the w1+∞ loop algebra of higher spin charges. We do so using both the Bondi–Sachs and …

Null infinity, I+, arises as a boundary of the Penrose conformal completion (M^, g^ ab) of an
asymptotically flat physical space-time (M, gab). We first note that I+ is a weakly isolated …

We introduce a Hamiltonian framework tailored to degrees of freedom (DOF) of field theories
that reside in suitable 3-dimensional open regions, and then apply it to the gravitational DOF …

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These notes are a transcript of lectures given by the author in the XVIII Modave summer
school in mathematical physics. The introduction is devoted to a detailed review of the …

We show that when the Wald-Zoupas prescription is implemented, the resulting charges
realize the Bondi-Van der Burg–Metzner-Sachs (BMS) symmetry algebra without any 2 …

I study the balance law equation of surface charges in the presence of background fields.
The construction allows a unified description of Noether's theorem for both global and local …

We provide a prescription for the phase space of general relativity on intersecting null
surfaces using the null initial value formulation. We extend previous work by enlarging the …