Local Hamiltonian for spherically symmetric collapse: Geometrodynamics approach

Jack Gegenberg and Gabor Kunstatter
Phys. Rev. D 85, 084011 – Published 11 April 2012

Abstract

Recently, a local true (completely gauge fixed) Hamiltonian for spherically symmetric collapse was derived in terms of Ashtekar variables. We show that such a local Hamiltonian follows directly from the geometrodynamics of gravity theories that obey a Birkhoff theorem and possess a mass function that is constant on the constraint surface in vacuum. In addition to clarifying the geometrical content, our approach has the advantage that it can be directly applied to a large class of spherically symmetric and two-dimensional gravity theories, including pth order Lovelock gravity in D dimensions. The resulting expression for the true local Hamiltonian is universal and remarkably simple in form.

  • Received 16 December 2011

DOI:https://doi.org/10.1103/PhysRevD.85.084011

© 2012 American Physical Society

Authors & Affiliations

Jack Gegenberg

  • Department of Mathematics and Statistics and Department of Physics, University of New Brunswick, Fredericton, NB, Canada E3B 5A3, and Perimeter Institute for Theoretical Physics, 31 Caroline Street North,Waterloo, Ontario, Canada N2L 2Y5

Gabor Kunstatter

  • Department of Physics and Winnipeg Institute for Theoretical Physics, University of Winnipeg, Winnipeg, Manitoba,Canada R3B 2E9

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 85, Iss. 8 — 15 April 2012

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×