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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

—

Návaznosti

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

Rok uplatnění

2024

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

2470-0029

Svazek periodika

109

Číslo periodika v rámci svazku

8

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

16

Strana od-do

084019

Kód UT WoS článku

001224037100004

EID výsledku v databázi Scopus

2-s2.0-85189980320