Off-shell Noether current and conserved charge in Horndeski theory
General Relativity and Quantum Cosmology
2016-01-20 v1
Abstract
We derive the off-shell Noether current and potential in the context of Horndeski theory, which is the most general scalar-tensor theory with a Lagrangian containing derivatives up to second order while yielding at most to second-order equations of motion in four dimensions. Then the formulation of conserved charges is proposed on basis of the off-shell Noether potential and the surface term got from the variation of the Lagrangian. As an application, we calculate the conserved charges of black holes in a scalar-tensor theory with non-minimal coupling between derivatives of the scalar field and the Einstein tensor.
Keywords
Cite
@article{arxiv.1511.06516,
title = {Off-shell Noether current and conserved charge in Horndeski theory},
author = {Jun-Jin Peng},
journal= {arXiv preprint arXiv:1511.06516},
year = {2016}
}
Comments
19 pages, no figures, to appear in PLB