The spectrum of states of Ba~nados-Teitelboim-Zanelli black hole formed by a collapsing dust shell
We perform canonical analysis of an action in which 2+1-dimensional gravity with negative cosmological constant is coupled to cylindrically symmetric dust shell. The resulting phase space is finite dimensional having geometry of SO(2; 2) group manifold. Representing the Poisson brackets by commutato...
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| creator | Andrianov, Alexander A Lyozin, Danila Starodubtsev, Artem |
| description | We perform canonical analysis of an action in which 2+1-dimensional gravity
with negative cosmological constant is coupled to cylindrically symmetric dust
shell. The resulting phase space is finite dimensional having geometry of SO(2;
2) group manifold. Representing the Poisson brackets by commutators results in
the algebra of observables which is a quantum double D(SL(2)q). Deformation
parameter q is real when the total energy of the system is below the threshold
of a black hole formation, and a root of unity when it is above. Inside the
black hole the spectra of the shell radius and time operator are discrete and
take on a finite set of values. The Hilbert space of the black hole is thus
finite-dimensional. |
| doi_str_mv | 10.48550/arxiv.2307.15698 |
| format | Article |
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with negative cosmological constant is coupled to cylindrically symmetric dust
shell. The resulting phase space is finite dimensional having geometry of SO(2;
2) group manifold. Representing the Poisson brackets by commutators results in
the algebra of observables which is a quantum double D(SL(2)q). Deformation
parameter q is real when the total energy of the system is below the threshold
of a black hole formation, and a root of unity when it is above. Inside the
black hole the spectra of the shell radius and time operator are discrete and
take on a finite set of values. The Hilbert space of the black hole is thus
finite-dimensional.</description><identifier>DOI: 10.48550/arxiv.2307.15698</identifier><language>eng</language><subject>Physics - General Relativity and Quantum Cosmology ; Physics - High Energy Physics - Theory</subject><creationdate>2023-07</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2307.15698$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2307.15698$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Andrianov, Alexander A</creatorcontrib><creatorcontrib>Lyozin, Danila</creatorcontrib><creatorcontrib>Starodubtsev, Artem</creatorcontrib><title>The spectrum of states of Ba~nados-Teitelboim-Zanelli black hole formed by a collapsing dust shell</title><description>We perform canonical analysis of an action in which 2+1-dimensional gravity
with negative cosmological constant is coupled to cylindrically symmetric dust
shell. The resulting phase space is finite dimensional having geometry of SO(2;
2) group manifold. Representing the Poisson brackets by commutators results in
the algebra of observables which is a quantum double D(SL(2)q). Deformation
parameter q is real when the total energy of the system is below the threshold
of a black hole formation, and a root of unity when it is above. Inside the
black hole the spectra of the shell radius and time operator are discrete and
take on a finite set of values. The Hilbert space of the black hole is thus
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with negative cosmological constant is coupled to cylindrically symmetric dust
shell. The resulting phase space is finite dimensional having geometry of SO(2;
2) group manifold. Representing the Poisson brackets by commutators results in
the algebra of observables which is a quantum double D(SL(2)q). Deformation
parameter q is real when the total energy of the system is below the threshold
of a black hole formation, and a root of unity when it is above. Inside the
black hole the spectra of the shell radius and time operator are discrete and
take on a finite set of values. The Hilbert space of the black hole is thus
finite-dimensional.</abstract><doi>10.48550/arxiv.2307.15698</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - General Relativity and Quantum Cosmology Physics - High Energy Physics - Theory |
| title | The spectrum of states of Ba~nados-Teitelboim-Zanelli black hole formed by a collapsing dust shell |
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