Exact solutions of nonlocal gravity in a class of almost universal spacetimes

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00544036" target="_blank" >RIV/67985840:_____/21:00544036 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1103/PhysRevD.103.124067" target="_blank" >https://doi.org/10.1103/PhysRevD.103.124067</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevD.103.124067" target="_blank" >10.1103/PhysRevD.103.124067</a>

Result language

angličtina

Original language name

Exact solutions of nonlocal gravity in a class of almost universal spacetimes

Original language description

We study exact solutions of the infinite derivative gravity with null radiation which belong to the class of almost universal Weyl type III/N Kundt spacetimes. This class is defined by the property that all rank-2 tensors Bab constructed from the Riemann tensor and its covariant derivatives have traceless part of type N of the form B(...)Sab and the trace part constantly proportional to the metric. Here, B(...) is an analytic operator and Sab is the traceless Ricci tensor. We show that the convoluted field equations reduce to a single nonlocal but linear equation, which contains only the Laplace operator Δ on 2-dimensional spaces of constant curvature. Such a nonlocal linear equation is always exactly solvable by eigenfunction expansion or using the heat kernel method for the nonlocal form factor exp(-ℓ2Δ) (with ℓ being the length scale of nonlocality) as we demonstrate on several examples. We find the nonlocal analogues of the Aichelburg-Sexl and the Hotta-Tanaka solutions, which describe gravitational waves generated by null sources propagating in Minkowski, de Sitter, and anti-de Sitter spacetimes. They reduce to the solutions of the local theory far from the sources or in the local limit, ℓ→0. In the limit ℓ→∞, they become conformally flat. We also discuss possible hints suggesting that the nonlocal solutions are regular at the locations of the sources in contrast to the local solutions, all curvature components in the natural null frame are finite and specifically the Weyl components vanish.

Czech name

—

Czech description

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Type

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

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/GA19-09659S" target="_blank" >GA19-09659S: Exact solutions of gravity theories: black holes, radiative spacetimes and electromagnetic fields</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2021

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

2470-0029

Volume of the periodical

103

Issue of the periodical within the volume

12

Country of publishing house

US - UNITED STATES

Number of pages

19

Pages from-to

124067

UT code for WoS article

000669042800014

EID of the result in the Scopus database

2-s2.0-85109031768