Positive small-vacuum-region gravitational-energy expressions

Lau Loi So and James M. Nester
Phys. Rev. D 79, 084028 – Published 20 April 2009

Abstract

We construct an infinite number of new holonomic quasilocal gravitational-energy-momentum density pseudotensors with good limits asymptotically and in small regions, both materially and in vacuum. For small vacuum regions they are all a positive multiple of the Bel-Robinson tensor and consequently have positive energy.

  • Received 12 January 2009

DOI:https://doi.org/10.1103/PhysRevD.79.084028

©2009 American Physical Society

Authors & Affiliations

Lau Loi So1,* and James M. Nester1,2,3,†

  • 1Department of Physics, National Central University, Chungli 320, Taiwan
  • 2Graduate Institute of Astronomy, National Central University, Chungli 320, Taiwan
  • 3Center for Mathematics and Theoretical Physics, National Central University, Chungli 320, Taiwan

  • *Current address: Department of Physics, Tamkang University, Tamsui 251, Taiwan. s0242010@webmail.tku.edu.tw
  • nester@phy.ncu.edu.tw

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Issue

Vol. 79, Iss. 8 — 15 April 2009

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