Exact solutions to quadratic gravity

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00474091" target="_blank" >RIV/67985840:_____/17:00474091 - isvavai.cz</a>

Alternative codes found

RIV/00216208:11320/17:10371719

Result on the web

<a href="http://dx.doi.org/10.1103/PhysRevD.95.084025" target="_blank" >http://dx.doi.org/10.1103/PhysRevD.95.084025</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevD.95.084025" target="_blank" >10.1103/PhysRevD.95.084025</a>

Result language

angličtina

Original language name

Exact solutions to quadratic gravity

Original language description

Since all Einstein spacetimes are vacuum solutions to quadratic gravity in four dimensions, in this paper we study various aspects of non-Einstein vacuum solutions to this theory. Most such known solutions are of traceless Ricci and Petrov type N with a constant Ricci scalar. Thus we assume the Ricci scalar to be constant which leads to a substantial simplification of the field equations. We prove that a vacuum solution to quadratic gravity with traceless Ricci tensor of type N and aligned Weyl tensor of any Petrov type is necessarily a Kundt spacetime. This will considerably simplify the search for new non-Einstein solutions. Then we study the general role of conformal transformations in constructing vacuum solutions to quadratic gravity In particular, we show that all geometries conformal to Kundt are either Kundt or Robinson–Trautman, and we provide some explicit Kundt and Robinson–Trautman solutions to quadratic gravity by solving the field equations on certain Kundt backgrounds.

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

10102 - Applied mathematics

Project

<a href="/en/project/GB14-37086G" target="_blank" >GB14-37086G: Albert Einstein Center for Gravitation and Astrophysics</a><br>

Continuities

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

Publication year

2017

Confidentiality

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

Name of the periodical

Physical Review D

ISSN

2470-0010

e-ISSN

—

Volume of the periodical

95

Issue of the periodical within the volume

8

Country of publishing house

US - UNITED STATES

Number of pages

9

Pages from-to

—

UT code for WoS article

000403671600004

EID of the result in the Scopus database

2-s2.0-85021687887