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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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Elsevier
2022-12-01
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Series: | Nuclear Physics B |
Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321322003789 |
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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 |