Novel classification method of 2+1 spacetimes based on the Cotton scalars
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10476628" target="_blank" >RIV/00216208:11320/23:10476628 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=7BrP3Y3HFv" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=7BrP3Y3HFv</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevD.108.L121504" target="_blank" >10.1103/PhysRevD.108.L121504</a>
Alternative languages
Result language
angličtina
Original language name
Novel classification method of 2+1 spacetimes based on the Cotton scalars
Original language description
A new effective approach to the algebraic classification of geometries in 2+1 gravity is presented. It uses five real Cotton scalars Psi(A) of distinct boost weights, which are 3D analogs of the Newman-Penrose scalars representing the Weyl tensor in 4D. The classification into types I, II, D, III, N, O is directly related to the multiplicity of the four Cotton-aligned null directions (CANDs). We derive a synoptic algorithm based on the invariants constructed from Psi(A), and we show its agreement with the Petrov scheme based on eigenvalues and canonical Jordan form of the Cotton-York tensor. Our method is simpler and also general because it can be used in any 2+1 theory, such as Einstein's gravity or topologically massive gravity. As an example we analyze the algebraic structure of Robinson-Trautman spacetimes which include charged black holes with a cosmological constant.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10300 - Physical sciences
Result continuities
Project
<a href="/en/project/GA23-05914S" target="_blank" >GA23-05914S: Advanced Techniques Applied to Black-Hole and Gravitational-Wave Exact Spacetimes</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review D
ISSN
2470-0010
e-ISSN
2470-0029
Volume of the periodical
108
Issue of the periodical within the volume
12
Country of publishing house
US - UNITED STATES
Number of pages
6
Pages from-to
L121504
UT code for WoS article
001145882600010
EID of the result in the Scopus database
2-s2.0-85181040412