Noether Currents and MaxwellType Equations of Motion in Higher Derivative Gravity Theories
Abstract
In general coordinate invariant gravity theories whose Lagrangians contain arbitrarily high order derivative fields, the Noether currents for the global translation and for the Nakanishi's IOSp(88) choral symmetry containing the BRS symmetry as its member, are constructed. We generally show that for each of those Noether currents a suitable linear combination of equations of motion can be brought into the form of Maxwelltype field equation possessing the Noether current as its source term.
 Publication:

Symmetry
 Pub Date:
 August 2021
 DOI:
 10.3390/sym13081408
 arXiv:
 arXiv:2107.11600
 Bibcode:
 2021Symm...13.1408K
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 27 pages, no figures