Lagrangian and Hamiltonian for the Bondi-Sachs metrics

Abstract

We calculate the Hilbert action for the Bondi-Sachs metrics. It yields the Einstein vacuum equations in a closed form. Following the Dirac approach to constrained systems we investigate the related Hamiltonian formulation.

8 pages

References in corpus (1)

• Uniqueness of the Trautman--Bondi mass

Cited by in corpus (5)

• On the canonical energy of weak gravitational fields with a cosmological constant $\Lambda \in \mathbb{R}$
• Asymptotically flat spacetimes in 3D bigravity
• Gluing variations
• On the energy of a null cone
• A lower bound of the Trautman-Bondi energy