Novel classification method of 2+1 spacetimes based on the Cotton scalars

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Novel classification method of 2+1 spacetimes based on the Cotton scalars

Popis výsledku v původním jazyce

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&apos;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.

Název v anglickém jazyce

Novel classification method of 2+1 spacetimes based on the Cotton scalars

Popis výsledku anglicky

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&apos;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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

<a href="/cs/project/GA23-05914S" target="_blank" >GA23-05914S: Pokročilé techniky aplikované na přesné prostoročasy s černými dírami a gravitačními vlnami</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physical Review D

ISSN

2470-0010

e-ISSN

2470-0029

Svazek periodika

108

Číslo periodika v rámci svazku

12

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

6

Strana od-do

L121504

Kód UT WoS článku

001145882600010

EID výsledku v databázi Scopus

2-s2.0-85181040412