Flat slice Hamiltonian formalism for dynamical black holes

Husain, Viqar and Winkler, Oliver (2005) Flat slice Hamiltonian formalism for dynamical black holes. [Preprint]

Download (125Kb) | Preview


    We give a Hamiltonian analysis of the asymptotically flat spherically symmetric system of gravity coupled to a scalar field. This 1+1 dimensional field theory may be viewed as the ”standard model” for studying black hole physics. Our analysis is adapted to the flat slice Painleve-Gullstrand coordinates. We give a Hamiltonian action principle for this system, which yields an asymptotic mass formula. We then perform a time gauge fixing that gives a Hamiltonian as the integral of a local density. The Hamiltonian takes a relatively simple form compared to earlier work in Schwarzschild gauge, and therefore provides a setting amenable to full quantisation.

    Item Type: Preprint
    Additional Information: pubdom TRUE
    Uncontrolled Keywords: AARMS
    Subjects: 84-xx Astronomy and astrophysics
    83-xx Relativity and gravitational theory
    Faculty: UNSPECIFIED
    Depositing User: lingyun ye
    Date Deposited: 09 Jul 2007
    Last Modified: 27 Apr 2010 16:35

    Actions (login required)

    View Item