78 citations · 174 across the 5 of their papers we have counts for
5 papers
Quantum Fields at Any Time
C. G. Torre, M. Varadarajan
The canonical quantum theory of a free field using arbitrary foliations of a flat two-dimensional spacetime is investigated. It is shown that dynamical evolution along arbitrary sp…
Classical and quantum geometrodynamics of 2d vacuum dilatonic black holes
Madhavan Varadarajan
We perform a canonical analysis of the system of 2d vacuum dilatonic black holes. Our basic variables are closely tied to the spacetime geometry and we do not make the field redefi…
On the gauge fixing of 1 Killing field reductions of canonical gravity: the case of asymptotically flat induced 2-geometry
Madhavan Varadarajan
We consider 1 spacelike Killing vector field reductions of 4-d vacuum general relativity. We restrict attention to cases in which the manifold of orbits of the Killing field is $R^…
A Striking Property of the Gravitational Hamiltonian
Abhay Ashtekar, Madhavan Varadarajan
{\sl A Hamiltonian framework for 2+1 dimensional gravity coupled with matter (satisfying positive energy conditions) is considered in the asymptotically flat context. It is shown t…
The Phase Space of 2+1 Dimensional Gravity in the Ashtekar Formulation
J. Fernando Barbero, Madhavan Varadarajan
The Ashtekar formulation of 2+1 gravity differs from the geometrodynamical and Witten descriptions when the 2-metric is degenerate. We study the phase space of 2+1 gravity in the A…