A Kuchař Hypertime Formalism For Cylindrically Symmetric Spacetimes With Interacting Scalar Fields
Stephen P. Braham
Abstract
The Kuchař canonical transformation for vacuum geometrodynamics in the presence of cylindrical symmetry is applied to a general non-vacuum case. The resulting constraints are highly non-linear and non-local in the momenta conjugate to the Kuchař embedding variables. However, it is demonstrated that the constraints can be solved for these momenta and thus the dynamics of cylindrically symmetric models can be cast in a form suitable for the construction of a hypertime functional Schrödinger equation.
Create a lesson
Related papers
Gravitational-Wave Constraints on R2 Gravity
Pawan Kumar Gupta, Laura Sagunski
Axial black hole perturbations in purely-metric Horndeski theories
Héloïse Delaporte, Hugo Roussille
Inflationary attractors in metric-affine gravity
Ilaria Andrei, Christian Dioguardi
Born-Infeld black holes in bumblebee gravity
A. A. Araújo Filho, E. M. Siquieri, N. Heidari et al.
Quasi-equilibrium tidal folds of white dwarfs around rotating black holes in shift-symmetric Einstein--scalar--Gauss--Bonnet gravity
Shoupan Liu, Meilin Liu, Yu Wang et al.
Dipolar boson stars as static two-body systems: an effective-one-body description
Thibault Damour, Romain Gervalle, Tamanna Jain