All solutions of Einstein's equations in 2+1 dimensions: Lambda-vacuum, pure radiation, or gyratons

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10408511" target="_blank" >RIV/00216208:11320/19:10408511 - isvavai.cz</a>

Result on the web

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=UT.o7nkZP0" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=UT.o7nkZP0</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1361-6382/aaef51" target="_blank" >10.1088/1361-6382/aaef51</a>

Result language

angličtina

Original language name

All solutions of Einstein's equations in 2+1 dimensions: Lambda-vacuum, pure radiation, or gyratons

Original language description

Under a weak assumption of the existence of a geodesic null congruence, we present the general solution of the Einstein field equations in three dimensions with any value of the cosmological constant, admitting an aligned null matter field, and also gyratons (a matter field in the form of a null dust with an additional internal spin). The general local solution consists of the expanding Robinson-Trautman class and the non-expanding Kundt class. The gyratonic solutions reduce to spacetimes with a pure radiation matter field when the spin is set to zero. Without matter fields, we obtain new forms of the maximally symmetric vacuum solutions. We discuss these complete classes of solutions and their various subclasses. In particular, we identify the gravitational field of an arbitrarily accelerating source (the Kinnersley photon rocket, which reduces to a Vaidya-type non-moving object) in the Robinson-Trautman class, and pp-waves, vanishing scalar invariants (VSI) spacetimes, and constant scalar invariants (CSI) spacetimes in the Kundt class.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10300 - Physical sciences

Project

<a href="/en/project/GA17-01625S" target="_blank" >GA17-01625S: Spacetimes and Fields in Einstein's Theory of Gravity and its Generalizations</a><br>

Continuities

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

Publication year

2019

Confidentiality

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

Name of the periodical

Classical and Quantum Gravity

ISSN

0264-9381

e-ISSN

—

Volume of the periodical

36

Issue of the periodical within the volume

1

Country of publishing house

GB - UNITED KINGDOM

Number of pages

31

Pages from-to

015009

UT code for WoS article

000452416300002

EID of the result in the Scopus database

2-s2.0-85058561120