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Localizing Energy in Fierz-Lanczos theory

General Relativity and Quantum Cosmology 2020-07-15 v1 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

We calculate energy carried by the massless spin-2 field using Fierz-Lanczos representation of the theory. For this purpose Hamiltonian formulation of the field dynamic is thoroughly analyzed. Final expression for the energy is very much analogous to the Maxwell energy in electrodynamics (spin-1 field) and displays the locality property. Known as a ``super-energy'' in gravity theory, this quantity differs considerably from the well understood gravitational field energy (represented in linear gravity by the quadratic term in Taylor expansion of the A.D.M. mass) which cannot be localized.

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Cite

@article{arxiv.2004.03214,
  title  = {Localizing Energy in Fierz-Lanczos theory},
  author = {Jacek Jezierski and Jerzy Kijowski and Marian Wiatr},
  journal= {arXiv preprint arXiv:2004.03214},
  year   = {2020}
}

Comments

25 pages

R2 v1 2026-06-23T14:42:25.071Z