English

New Superpotential in Conservation Laws in General Relativity

General Relativity and Quantum Cosmology 2016-09-27 v2

Abstract

This work refers to the new formula for the superpotential Uikl in conservation laws in general relativity satisfying the integral and differential conservation laws within the Schwarzschild metric. The new superpotential is composed of two terms. The first term is based on Mollers concept and its a function of the metric gik and its first derivative only. The second term is the antisymmetric tensor density of weight plus one and it consists of higher derivatives of the metric gik. Although the new superpotential consists of higher derivatives of the metric gik it might bring a new evaluation of the conservative quantities in general relativity

Cite

@article{arxiv.1606.04352,
  title  = {New Superpotential in Conservation Laws in General Relativity},
  author = {J. Adamek and J. Novotny},
  journal= {arXiv preprint arXiv:1606.04352},
  year   = {2016}
}

Comments

6 pages, 1 table

R2 v1 2026-06-22T14:24:57.367Z