Abstract
There is a non-linear and covariant electromagnetic analogy for gravity, in which the full Bianchi identities are Maxwell-type equations for the free gravitational field, encoded in the Weyl tensor. This tensor gravito-electromagnetism is based on a covariant generalization of spatial vector algebra and calculus to spatial tensor fields, and includes all non-linear effects from the gravitational field and matter sources. The non-linear vacuum Bianchi equations are invariant under spatial duality rotation of the gravito-electric and gravito-magnetic tensor fields. The super-energy density and super-Poynting vector of the gravitational field are natural duality invariants, and satisfy a super-energy conservation equation.
Original language | English |
---|---|
Pages (from-to) | 1203-1217 |
Journal | General Relativity and Gravitation |
Volume | 40 |
Issue number | 6 |
DOIs | |
Publication status | Published - Jun 2008 |
Keywords
- Electromagnetism
- General relativity