BMS symmetry in gravity: Front form versus Instant form

Abstract

In General Relativity, the allowed set of diffeomorphisms or gauge transformations at asymptotic infinity forms the BMS group, an infinite-dimensional extension of the Poincaré group. We focus on the structure of the BMS group in two distinct forms of Hamiltonian dynamics - the instant and front forms. Both similarities and differences in these two forms are examined while emphasising the role of non-covariant approaches to symmetries in gravity.

arXiv comment9 pages and 3 figures, Honorable Mention - Gravity Research Foundation 2023

References in corpus (6)

• The Dynamics of General Relativity
• Conformal Carroll groups and BMS symmetry
• KLT relations from the Einstein-Hilbert Lagrangian
• Spinor helicity structures in higher spin theories
• BMS algebra from residual gauge invariance in light-cone gravity
• BMS algebra as an extension of the Poincaré symmetry in light-cone gravity