Tensor Distributions in the Presence of Degenerate Metrics

Abstract

Tensor distributions and their derivatives are described without assuming the presence of a metric. This provides a natural framework for discussing tensor distributions on manifolds with degenerate metrics, including in particular metrics which change signature.

REVTeX, 19 pages; submitted to IJMPD

References in corpus (2)

• The Scalar Field Equation in the Presence of Signature Change
• Einstein's Equations in the Presence of Signature Change

Cited by in corpus (17)

• The Scalar Field Equation in the Presence of Signature Change
• Gravity and Signature Change
• Einstein's Equations in the Presence of Signature Change
• Area Regge Calculus and Discontinuous Metrics
• Signature change from Schutz's canonical quantum cosmology and its classical analogue
• Metrics with distributional curvature
• On the junction conditions in $f(R)$-gravity with torsion
• Signature transition in Einstein-Cartan cosmology
• The Patchwork Divergence Theorem
• Comment on `Smooth and Discontinuous Signature Type Change in General Relativity'
• Classical Signature Change in the Black Hole Topology
• Tensor distributions on signature-changing space-times
• Distributional Sources in General Relativity: two point-like examples revisited
• Piecewise Conserved Quantities
• A note on the junction conditions in f(Q)-gravity
• Symmetries of distributional domain wall geometries
• A note on quantization in the presence of gravitational shock waves