BMS Charges

  • Dieter LüstEmail author
  • Ward Vleeshouwers
Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)


We are discussing a family of asymptotically flat metrics (which includes Minkowski space). We do this in the Bondi gauge using Bondi coordinates, as presented during the previous lecture. The Cauchy data (or parameters) divide into the following subclasses:
  1. 1.

    Mass: Bondi mass aspect \(m_B(u, z,\bar{z})\)

  2. 2.

    Angular momentum: Bondi angular momentum aspects \(N_{z}\) and \(N_{ \bar{z}}\)

  3. 3.

    Radiation: Gauge potentials \( C_{zz} (u, z,\bar{z})\) and \(C_{\bar{z}\bar{z}}(u, z,\bar{z})\), which describe gravitational waves

  4. 4.

    Field strength: Bondi news \(N_{zz} = \partial _u C_{zz}\) and \(N_{\bar{z}\bar{z}} = \partial _u C_{\bar{z}\bar{z}}\)


Copyright information

© The Author(s), under exclusive license to Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Arnold-Sommerfeld-CenterLudwig-Maximilians-UniversitaetMunichGermany
  2. 2.Institute for Theoretical PhysicsUtrecht UniversityUtrechtThe Netherlands

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