Absence of gyratons in the Robinson-Trautman class

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10290529" target="_blank" >RIV/00216208:11320/14:10290529 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1103/PhysRevD.89.124029" target="_blank" >http://dx.doi.org/10.1103/PhysRevD.89.124029</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevD.89.124029" target="_blank" >10.1103/PhysRevD.89.124029</a>

Result language

angličtina

Original language name

Absence of gyratons in the Robinson-Trautman class

Original language description

We present the Riemann and Ricci tensors for a fully general nontwisting and shear-free geometry in arbitrary dimension D. This includes both the nonexpanding Kundt and expanding Robinson-Trautman family of spacetimes. As an interesting application of these explicit expressions, we then integrate the Einstein equations and prove a surprising fact that in any D the Robinson-Trautman class does not admit solutions representing gyratonic sources, i.e., a matter field in the form of a null fluid (or particles propagating with the speed of light) with an additional internal spin. Contrary to the closely related Kundt class and pp-waves, the corresponding off-diagonal metric components thus do not encode the angular momentum of some gyraton. Instead, we demonstrate that in standard D = 4 general relativity they directly determine two independent amplitudes of the Robinson-Trautman exact gravitational waves.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2014

Confidentiality

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

Name of the periodical

Physical Review D - Particles, Fields, Gravitation and Cosmology

ISSN

1550-7998

e-ISSN

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Volume of the periodical

89

Issue of the periodical within the volume

12

Country of publishing house

US - UNITED STATES

Number of pages

13

Pages from-to

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UT code for WoS article

000338664000010

EID of the result in the Scopus database

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