Piecewise Conserved Quantities

Abstract

We review the treatment of conservation laws in spacetimes that are glued together in various ways, thus adding a boundary term to the usual conservation laws. Several examples of such spacetimes will be described, including the joining of Schwarzschild spacetimes of different masses, and the possibility of joining regions of different signatures. The opportunity will also be taken to explore some of the less obvious properties of Lorentzian vector calculus.

To appear in Gravity and the Quantum, Springer 2017 (http://www.springer.com/in/book/9783319516998)

References in corpus (7)

• The Scalar Field Equation in the Presence of Signature Change
• Failure of Standard Conservation Laws at a Classical Change of Signature
• Gravity and Signature Change
• Einstein's Equations in the Presence of Signature Change
• Tensor Distributions in the Presence of Degenerate Metrics
• The Patchwork Divergence Theorem
• The Effect of Negative-Energy Shells on the Schwarzschild Black Hole

Cited by in corpus (4)

• Quantum Gravity inspired nonlocal gravity model
• Generally covariant dynamical reduction models and the Hadamard condition
• Electrovacuum solutions in non-local gravity
• Entanglement entropy of non-local theories in AdS