Work

Equations for general shells

Year: 2018
Type: article
Abstract: A bstract The complete set of (field) equations for shells of arbitrary, even changing, causal character are derived in arbitrary dimension. New equations that seem to have never been considered in the literature emerge, even in the traditional cases of everywhere non-null, or everywhere null, shells. In the latter case there arise field equations for some degrees of freedom encoded exclusively in the distributional part of the Weyl tensor. For non-null shells the standard Israel equations are recovered but not only , the additional relations containing also relevant information. The results are applicable to a widespread literature on domain walls , branes and braneworlds , gravitational layers , impulsive gravitational waves , and the like. Moreover, they are of a geometric nature, and thus they can be used in any theory based on a Lorentzian manifold.
Language: English
Open Access status: diamond
OpenAlex ID: W2801767151
FWCI: 1.337
Cites: 57
Cited by: 21
Related to: 10