1996/12/11 by Joseph Katz, Dorit Lerer · 2 citations
Mathematics · Physics and Astronomy · #Angular momentum #Black Holes and Theoretical Physics #Classical mechanics #Conservation law #Conserved quantity #Cosmology and Gravitation Theories #Einstein #Einstein field equations #Energy–momentum relation #Geometry #Infinity #Mathematical analysis #Mathematical physics #Mathematics #Minkowski space #Momentum (technical analysis) #Noncommutative and Quantum Gravity Theories #Null (SQL) #Physics #Quadratic equation #Quantum mechanics #Spacetime #Theoretical physics #gr-qc
paper · pdf · doi:10.1088/0264-9381/14/8/023
published as Class.Quant.Grav. 14 (1997) 2249-2266
arxiv created 1996/12/11 · openalex publication_date 1997/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper the standard values for total energy, linear momentum and also angular momentum of asymptotically flat Bondi metrics at null infinity are obtained from differential conservation laws on asymptotically flat backgrounds, derived from a quadratic Lagrangian density by methods currently used in classical field theory. It is thus a matter of taste and commodity whether to use a reference spacetime in defining these globally conserved quantities. Backgrounds lead to N ther conserved currents; the use of backgrounds is in line with classical views on conservation laws. Moreover, the conserved quantities are explicitly related to the sources of gravity through Einstein's equations. The relations depend, however, on a rule for mapping spacetimes onto backgrounds.