HAMILTONIAN FORMULATION OF DUST CLOUD COLLAPSE
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Date
2020-04
Authors
Kwidzinski, Nick
Malafarina, Daniele
Ostrowski, Jan J.
Piechocki, Włodzimierz
Schmitz, Tim
Journal Title
Journal ISSN
Volume Title
Publisher
arxiv
Abstract
We consider the gravitational collapse of a self-gravitating spherical dust cloud in the
Hamiltonian formalism. We address both homogeneous and inhomogeneous cases. Our
novel derivation of the Hamiltonian of the system is based on an improved variational prin ciple. It differs from usual treatments due to the presence of an extra boundary term added
to the Hilbert action. As expected, the standard equations of motion are retrieved. How ever, differently from other treatments, the total Hamiltonian obtained with our procedure
in the Schwarzschild time-gauge is identical to the total mass of the system as measured
from infinity, as it would be expected. Implications for the quantization of the system are
suggested
Description
Keywords
Type of access: Open Access, dust cloud collapse, Hamiltonian formulation
Citation
Kwidzinski, N., Malafarina, D., Ostrowski, J. J., Piechocki, W., & Schmitz, T. (2020). Hamiltonian formulation of dust cloud collapse. Physical Review D, 101(10). https://doi.org/10.1103/physrevd.101.104017