Exact solutions to quadratic gravity

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/00216208:11320/17:10371719

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Exact solutions to quadratic gravity

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Exact solutions to quadratic gravity

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GB14-37086G" target="_blank" >GB14-37086G: Centrum Alberta Einsteina pro gravitaci a astrofyziku</a><br>

Návaznosti

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

Rok uplatnění

2017

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

—

Svazek periodika

95

Číslo periodika v rámci svazku

8

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

9

Strana od-do

—

Kód UT WoS článku

000403671600004

EID výsledku v databázi Scopus

2-s2.0-85021687887