The mass of light-cones

Abstract

We give an elementary proof of positivity of total gravitational energy in space-times containing complete smooth light-cones.

11 pages, short section added where the Bondi mass of space-times containing white hole regions is considered, this version corresponds to the one published in CQG

References in corpus (3)

• The Cauchy problem on a characteristic cone for the Einstein equations in arbitrary dimensions
• Characteristic initial data and smoothness of Scri. II. Asymptotic expansions and construction of conformally smooth data sets
• An existence theorem for the Cauchy problem on the light-cone for the vacuum Einstein equations with near-round analytic data

Cited by in corpus (8)

• The cosmological constant and the energy of gravitational radiation
• A review of total energy-momenta in GR with a positive cosmological constant
• Conservation laws and flux bounds for gravitational perturbations of the Schwarzschild metric
• The asymptotic behaviour of the Hawking energy along null asymptotically flat hypersurfaces
• Future-complete null hypersurfaces, interior gluings, and the Trautman-Bondi mass
• Mean curvature flow in null hypersurfaces and the detection of MOTS
• The Hawking Energy on the Past Lightcone in Cosmology
• The Isometric Embedding Problem in a Null Cone