The work constructs timelike tubes foliated by hypersurfaces with a brane-like action whose collective stress-energy is smooth, violates the strong energy condition inside the tube, and reduces to a point-particle action plus self-force term in the vanishing-radius limit.
Equivalence of Darmois-Israel and Distributional-Methods for Thin Shells in General Relativity
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
A distributional method to solve the Einstein's field equations for thin shells is formulated. The familiar field equations and jump conditions of Darmois-Israel formalism are derived. A carefull analysis of the Bianchi identities shows that, for cases under consideration, they make sense as distributions and lead to jump conditions of Darmois-Israel formalism.
fields
gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Gravitating Tubes Beyond World Line Paradigm In General Relativity
The work constructs timelike tubes foliated by hypersurfaces with a brane-like action whose collective stress-energy is smooth, violates the strong energy condition inside the tube, and reduces to a point-particle action plus self-force term in the vanishing-radius limit.