Non-relativistic and ultra-relativistic scaling limits of multimetric gravity

Abstract We present a method of contraction that can be applied to re-construct the recent extended non-relativistic and ultra-relativistic algebras as well as corresponding action principles. The methodology involves the use of multiple copies of Poincaré algebra. Consequently, the contraction defi...

Full description

Bibliographic Details
Main Authors: Ertuğrul Ekiz, Oguzhan Kasikci, Mehmet Ozkan, Cemal Berfu Senisik, Utku Zorba
Format: Article
Language:English
Published: SpringerOpen 2022-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP10(2022)151
_version_ 1828142813895720960
author Ertuğrul Ekiz
Oguzhan Kasikci
Mehmet Ozkan
Cemal Berfu Senisik
Utku Zorba
author_facet Ertuğrul Ekiz
Oguzhan Kasikci
Mehmet Ozkan
Cemal Berfu Senisik
Utku Zorba
author_sort Ertuğrul Ekiz
collection DOAJ
description Abstract We present a method of contraction that can be applied to re-construct the recent extended non-relativistic and ultra-relativistic algebras as well as corresponding action principles. The methodology involves the use of multiple copies of Poincaré algebra. Consequently, the contraction defines non-relativistic or ultra-relativistic limits of multimetric theories of gravity. In particular, we show that the non-relativistic scaling limit of bi-metric gravity corresponds to the recent formulation of an action principle for Newtonian gravity with a constant background mass density.
first_indexed 2024-04-11T19:47:43Z
format Article
id doaj.art-02d04a2b7e1a4ccb830b95f8bf9de787
institution Directory Open Access Journal
issn 1029-8479
language English
last_indexed 2024-04-11T19:47:43Z
publishDate 2022-10-01
publisher SpringerOpen
record_format Article
series Journal of High Energy Physics
spelling doaj.art-02d04a2b7e1a4ccb830b95f8bf9de7872022-12-22T04:06:24ZengSpringerOpenJournal of High Energy Physics1029-84792022-10-0120221013110.1007/JHEP10(2022)151Non-relativistic and ultra-relativistic scaling limits of multimetric gravityErtuğrul Ekiz0Oguzhan Kasikci1Mehmet Ozkan2Cemal Berfu Senisik3Utku Zorba4Department of Physics, Istanbul Technical UniversityDepartment of Physics, Istanbul Technical UniversityDepartment of Physics, Istanbul Technical UniversityDepartment of Physics, Istanbul Technical UniversityPhysics Department, Boğaziçi UniversityAbstract We present a method of contraction that can be applied to re-construct the recent extended non-relativistic and ultra-relativistic algebras as well as corresponding action principles. The methodology involves the use of multiple copies of Poincaré algebra. Consequently, the contraction defines non-relativistic or ultra-relativistic limits of multimetric theories of gravity. In particular, we show that the non-relativistic scaling limit of bi-metric gravity corresponds to the recent formulation of an action principle for Newtonian gravity with a constant background mass density.https://doi.org/10.1007/JHEP10(2022)151Chern-Simons TheoriesClassical Theories of GravityGauge SymmetrySpace-Time Symmetries
spellingShingle Ertuğrul Ekiz
Oguzhan Kasikci
Mehmet Ozkan
Cemal Berfu Senisik
Utku Zorba
Non-relativistic and ultra-relativistic scaling limits of multimetric gravity
Journal of High Energy Physics
Chern-Simons Theories
Classical Theories of Gravity
Gauge Symmetry
Space-Time Symmetries
title Non-relativistic and ultra-relativistic scaling limits of multimetric gravity
title_full Non-relativistic and ultra-relativistic scaling limits of multimetric gravity
title_fullStr Non-relativistic and ultra-relativistic scaling limits of multimetric gravity
title_full_unstemmed Non-relativistic and ultra-relativistic scaling limits of multimetric gravity
title_short Non-relativistic and ultra-relativistic scaling limits of multimetric gravity
title_sort non relativistic and ultra relativistic scaling limits of multimetric gravity
topic Chern-Simons Theories
Classical Theories of Gravity
Gauge Symmetry
Space-Time Symmetries
url https://doi.org/10.1007/JHEP10(2022)151
work_keys_str_mv AT ertugrulekiz nonrelativisticandultrarelativisticscalinglimitsofmultimetricgravity
AT oguzhankasikci nonrelativisticandultrarelativisticscalinglimitsofmultimetricgravity
AT mehmetozkan nonrelativisticandultrarelativisticscalinglimitsofmultimetricgravity
AT cemalberfusenisik nonrelativisticandultrarelativisticscalinglimitsofmultimetricgravity
AT utkuzorba nonrelativisticandultrarelativisticscalinglimitsofmultimetricgravity