HAMILTONIAN FORMULATION OF DUST CLOUD COLLAPSE

Kwidzinski, Nick; Malafarina, Daniele; Ostrowski, Jan J.; Piechocki, Włodzimierz; Schmitz, Tim

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dc.contributor.author	Kwidzinski, Nick
dc.contributor.author	Malafarina, Daniele
dc.contributor.author	Ostrowski, Jan J.
dc.contributor.author	Piechocki, Włodzimierz
dc.contributor.author	Schmitz, Tim
dc.date.accessioned	2022-07-07T04:16:46Z
dc.date.available	2022-07-07T04:16:46Z
dc.date.issued	2020-04
dc.identifier.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	en_US
dc.identifier.uri	http://nur.nu.edu.kz/handle/123456789/6376
dc.description.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	en_US
dc.language.iso	en	en_US
dc.publisher	arxiv	en_US
dc.rights	Attribution-NonCommercial-ShareAlike 3.0 United States	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-sa/3.0/us/	*
dc.subject	Type of access: Open Access	en_US
dc.subject	dust cloud collapse	en_US
dc.subject	Hamiltonian formulation	en_US
dc.title	HAMILTONIAN FORMULATION OF DUST CLOUD COLLAPSE	en_US
dc.type	Article	en_US
workflow.import.source	science