Universität zu Köln

Kwidzinski, Nick, Malafarina, Daniele, Ostrowski, Jan J., Piechocki, Wlodzimierz ORCID: 0000-0002-0313-5395 and Schmitz, Tim ORCID: 0000-0002-2822-2794 (2020). Hamiltonian formulation of dust cloud collapse. Phys. Rev. D, 101 (10). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1550-2368

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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 principle. 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. However, 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 arc suggested.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Kwidzinski, Nick UNSPECIFIED UNSPECIFIED UNSPECIFIED Malafarina, Daniele UNSPECIFIED UNSPECIFIED UNSPECIFIED Ostrowski, Jan J. UNSPECIFIED UNSPECIFIED UNSPECIFIED Piechocki, Wlodzimierz UNSPECIFIED orcid.org/0000-0002-0313-5395 UNSPECIFIED Schmitz, Tim UNSPECIFIED orcid.org/0000-0002-2822-2794 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-334201
DOI:	10.1103/PhysRevD.101.104017
Journal or Publication Title:	Phys. Rev. D
Volume:	101
Number:	10
Date:	2020
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1550-2368
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language NAKED SINGULARITIES; ENERGY; PROOF; EQUATIONS; SHELLS; SPACE Multiple languages Astronomy & Astrophysics; Physics, Particles & Fields Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/33420