We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
A note on spinor form of Lovelock differential identity.
- Authors
Trishin, Vladimir N.
- Abstract
The paper is devoted to 2-spinor calculus methods in general relativity. New spinor form of the Lovelock differential identity is suggested. This identity is second-order identity for the Riemann curvature tensor. We provide an example that our spinorial treatment of Lovelock identity is effective for the description of solutions of Einstein–Maxwell equations. It is shown that the covariant divergence of Lipkin's zilch tensor for the free Maxwell field vanishes on the solutions of Einstein–Maxwell equations if and only if the energy–momentum tensor of the electromagnetic field is Weyl-compatible.
- Subjects
DIFFERENTIAL forms; MAXWELL equations; TENSOR fields; ELECTROMAGNETIC fields; CURVATURE; CALCULUS; EINSTEIN-Maxwell equations
- Publication
International Journal of Geometric Methods in Modern Physics, 2019, Vol 16, Issue 9, pN.PAG
- ISSN
0219-8878
- Publication type
Article
- DOI
10.1142/S0219887819501457