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math.DGAug 1, 2015
5
citations (OpenAlex)
authors
  • Xiao Zhang
institutions
  • Academy of Mathematics and Systems Science
  • Chinese Academy of Sciences
arXiv abstractPDF
paper

Recent progress on the positive energy theorem

arXiv:1508.04230 · doi:10.1142/S0217751X15450189

Abstract

We give a short review of recent progress on the positive energy theorem in general relativity, especially for spacetimes with nonzero cosmological constant.

20 pages, contribution to Proceedings of the International Conference on Gravitation and Cosmology/The Fourth Galileo-Xu Guangqi Meeting, final version

References in corpus (8)

  • Asymptotics with a positive cosmological constant: II. Linear fields on de Sitter space-time
  • Mass and angular-momentum inequalities for axi-symmetric initial data sets. II. Angular-momentum
  • Mass and angular-momentum inequalities for axi-symmetric initial data sets I. Positivity of mass
  • Rigid upper bounds for the angular momentum and centre of mass of non-singular asymptotically anti-de Sitter space-times
  • Positive mass theorems for asymptotically AdS spacetimes with arbitrary cosmological constant
  • Positive mass theorems for asymptotically de Sitter spacetimes
  • The Trautman-Bondi mass of initial data sets
  • Proof of the angular momentum-mass inequality for axisymmetric black holes

Cited by in corpus (1)

  • Asymptotics with a cosmological constant: The solution space
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