Lower-dimensional limits of cubic Lovelock gravity

We obtain the lower-dimensional limits (p=2,3,4,5,6) of cubic Lovelock gravity through a regularized Kaluza-Klein reduction. By taking a flat internal space for simplicity, we also study the static black hole solutions in the resulting theories. We show that the solutions match with the ones obtaine...

Full description

Bibliographic Details
Main Authors: Gökhan Alkaç, Gökçen Deniz Özen, Gün Süer
Format: Article
Language:English
Published: Elsevier 2022-12-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321322003789
_version_ 1811201738275815424
author Gökhan Alkaç
Gökçen Deniz Özen
Gün Süer
author_facet Gökhan Alkaç
Gökçen Deniz Özen
Gün Süer
author_sort Gökhan Alkaç
collection DOAJ
description We obtain the lower-dimensional limits (p=2,3,4,5,6) of cubic Lovelock gravity through a regularized Kaluza-Klein reduction. By taking a flat internal space for simplicity, we also study the static black hole solutions in the resulting theories. We show that the solutions match with the ones obtained from the “naive limit” of D-dimensional equation for the metric function, which is obtained by first scaling the relevant couplings by a factor of 1D−p and then taking the limit D→p, with one important exception: In 4D, one obtains the expected solution only for the black hole with a planar horizon.
first_indexed 2024-04-12T02:26:57Z
format Article
id doaj.art-b68fc74f3d2649f0a782ea048baa3dc4
institution Directory Open Access Journal
issn 0550-3213
language English
last_indexed 2024-04-12T02:26:57Z
publishDate 2022-12-01
publisher Elsevier
record_format Article
series Nuclear Physics B
spelling doaj.art-b68fc74f3d2649f0a782ea048baa3dc42022-12-22T03:51:59ZengElsevierNuclear Physics B0550-32132022-12-01985116027Lower-dimensional limits of cubic Lovelock gravityGökhan Alkaç0Gökçen Deniz Özen1Gün Süer2Physics Engineering Department, Faculty of Engineering, Hacettepe University, 06800, Ankara, Turkey; Corresponding author.Department of Physics, Faculty of Science and Letters, Istanbul Technical University, Maslak 34469, Istanbul, TurkeyDepartment of Physics, Faculty of Arts and Sciences, Middle East Technical University, 06800, Ankara, TurkeyWe obtain the lower-dimensional limits (p=2,3,4,5,6) of cubic Lovelock gravity through a regularized Kaluza-Klein reduction. By taking a flat internal space for simplicity, we also study the static black hole solutions in the resulting theories. We show that the solutions match with the ones obtained from the “naive limit” of D-dimensional equation for the metric function, which is obtained by first scaling the relevant couplings by a factor of 1D−p and then taking the limit D→p, with one important exception: In 4D, one obtains the expected solution only for the black hole with a planar horizon.http://www.sciencedirect.com/science/article/pii/S0550321322003789
spellingShingle Gökhan Alkaç
Gökçen Deniz Özen
Gün Süer
Lower-dimensional limits of cubic Lovelock gravity
Nuclear Physics B
title Lower-dimensional limits of cubic Lovelock gravity
title_full Lower-dimensional limits of cubic Lovelock gravity
title_fullStr Lower-dimensional limits of cubic Lovelock gravity
title_full_unstemmed Lower-dimensional limits of cubic Lovelock gravity
title_short Lower-dimensional limits of cubic Lovelock gravity
title_sort lower dimensional limits of cubic lovelock gravity
url http://www.sciencedirect.com/science/article/pii/S0550321322003789
work_keys_str_mv AT gokhanalkac lowerdimensionallimitsofcubiclovelockgravity
AT gokcendenizozen lowerdimensionallimitsofcubiclovelockgravity
AT gunsuer lowerdimensionallimitsofcubiclovelockgravity