Degenerate Limits of Scalar-Tensor Gravity
arXiv:2607.27801 · doi:10.1142/S0217732326501385
summary
The paper analyzes how scalar‑tensor gravity behaves when the spatial triad becomes degenerate, using a Hamiltonian connection‑dynamics approach to derive the resulting constraints and discuss their physical meaning.
Abstract
We study the degenerate limits of the scalar-tensor theory of gravity in its Hamiltonian connection dynamics formulation. The degenerate limit of the spatial triad is effectuated by a local scaling transformation of the triad, which leads to the degenerate limits of all other geometric quantities and relations in the connection dynamics. We derive the constraints for the degenerate scalar-tensor theory of gravity and discuss their physical implications.
9 pages
Topics & keywords
#scalar-tensor gravity#degenerate limits#connection dynamics#Hamiltonian formulation#constraint analysisscalar-tensor theorydegenerate triadlocal scaling transformationHamiltonian constraintsgeometric connection dynamics