English

Lorentzian positive mass theorem for spacetimes with distributional curvature

General Relativity and Quantum Cosmology 2018-04-02 v1 Differential Geometry

Abstract

In this paper, we prove Lorentzian positive mass theorem for spacetimes with distributional curvature. To do so, we introduce distributional curvature and generalized Arnowitt-Deser-Misner (ADM) momentum. As an application, we discuss a junction of spacetimes.

Keywords

Cite

@article{arxiv.1803.10387,
  title  = {Lorentzian positive mass theorem for spacetimes with distributional curvature},
  author = {Keigo Shibuya},
  journal= {arXiv preprint arXiv:1803.10387},
  year   = {2018}
}

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21 pages