Uniqueness of Galilean and Carrollian limits of gravitational theories and application to higher derivative gravity

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10491992" target="_blank" >RIV/00216208:11320/24:10491992 - isvavai.cz</a>

Result on the web

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=nKXmw3MF~v" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=nKXmw3MF~v</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevD.109.084019" target="_blank" >10.1103/PhysRevD.109.084019</a>

Result language

angličtina

Original language name

Uniqueness of Galilean and Carrollian limits of gravitational theories and application to higher derivative gravity

Original language description

We show that the seemingly different methods used to derive non-Lorentzian (Galilean and Carrollian) gravitational theories from Lorentzian ones are equivalent. Specifically, the pre-nonrelativistic and the preultralocal parametrizations can be constructed from the gauging of the Galilei and Carroll algebras, respectively. Also, the pre-ultralocal approach of taking the Carrollian limit is equivalent to performing the Arnowitt-Deser-Misner decomposition and then setting the signature of the Lorentzian manifold to zero. We use this uniqueness to write a generic expansion for the curvature tensors and construct Galilean and Carrollian limits of all metric theories of gravity of finite order ranging from the f(R) gravity to a completely generic higher derivative theory, the f(g mu nu, R mu nu sigma rho, del mu) gravity. We present an algorithm for calculation of the nth order of the Galilean and Carrollian expansions that transforms this problem into a constrained optimization problem. We also derive the condition under which a gravitational theory becomes a modification of general relativity in both limits simultaneously.

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

10300 - Physical sciences

Project

—

Continuities

S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2024

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

109

Issue of the periodical within the volume

8

Country of publishing house

US - UNITED STATES

Number of pages

16

Pages from-to

084019

UT code for WoS article

001224037100004

EID of the result in the Scopus database

2-s2.0-85189980320