Scaling symmetry, Smarr relation, and the extended first law in lower-dimensional Lovelock gravity

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dc.authoridAlkac, Gokhan/0000-0002-1965-0199
dc.contributor.authorAlkac, Gokhan
dc.contributor.authorOzen, Gokcen Deniz
dc.contributor.authorOzsahin, Hikmet
dc.contributor.authorSuer, Gun
dc.contributor.authorTek, Mustafa
dc.date.accessioned2025-03-23T19:39:10Z
dc.date.available2025-03-23T19:39:10Z
dc.date.issued2024
dc.departmentSinop Üniversitesi
dc.description.abstractRecently, it was discovered that lower -dimensional versions of Lovelock gravity exist as scalartensor theories that are examples of Horndeski gravity. We study the thermodynamics of the static black hole solutions in these theories up to cubic order through Euclidean methods. Considering solutions with spherical, planar and hyperbolic event horizons ( k = +1 , 0 , -1), we show that the universality of the thermodynamics for planar black holes ( k = 0) and the extended first law that include the variation of the couplings together with their associated potentials hold also in lower dimensions. We find that in D = 4 , 6 where the 2nd- and the 3rd -order Lovelock Lagrangians are boundary terms respectively, the Smarr relation is modified since the entropy is not a homogenous function in these dimensions. We also present a derivation of the Smarr relation and its modified version based on the global scaling properties of the reduced action that is used to obtain the solutions consistently. Unlike the other hairy black hole solutions that have been analyzed before, despite the terms in the reduced action that break the scaling symmetry, the derivation still follows from a conserved Noether charge.
dc.description.sponsorshipTUBITAK [118C587]
dc.description.sponsorshipG.D.O. is supported by TUBITAK with Grant No 118C587. We thank Marek Liska for useful correspondence on [83].
dc.identifier.doi10.1016/j.nuclphysb.2024.116535
dc.identifier.issn0550-3213
dc.identifier.issn1873-1562
dc.identifier.scopus2-s2.0-85190332815
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.nuclphysb.2024.116535
dc.identifier.urihttps://hdl.handle.net/11486/6271
dc.identifier.volume1002
dc.identifier.wosWOS:001230445200001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofNuclear Physics B
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250323
dc.subjectBlack-Hole Thermodynamics
dc.subjectIntegrals
dc.subjectTensor
dc.titleScaling symmetry, Smarr relation, and the extended first law in lower-dimensional Lovelock gravity
dc.typeArticle

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