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dc.contributor.author
Bueno, Pablo
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dc.contributor.author
Cano, Pablo A.
dc.contributor.author
Llorens, Quim
dc.contributor.author
Moreno, Javier
dc.contributor.author
Van Der Velde, Guido Gustavo
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dc.date.available
2024-07-30T11:40:23Z
dc.date.issued
2022-05
dc.identifier.citation
Bueno, Pablo; Cano, Pablo A.; Llorens, Quim; Moreno, Javier; Van Der Velde, Guido Gustavo; Aspects of three-dimensional higher curvature gravities; IOP Publishing; Classical and Quantum Gravity; 39; 12; 5-2022; 1-40
dc.identifier.issn
0264-9381
dc.identifier.uri
http://hdl.handle.net/11336/241204
dc.description.abstract
We present new results involving general higher-curvature gravities in three dimensions. The most general Lagrangian of that kind can be written as a function of R, S_2, S_3, where R is the Ricci scalar, S_2= R^a_b R^b_a, S_3=R^a_b R^b_c R^c_a, and R_ab is the traceless part of the Ricci tensor. First, we provide a general formula for the exact number of independent order-n densities, #(n). This satisfies the identity #(n − 6) = #(n) − n. Then, we show that, linearized around a general Einstein solution, a generic order-n ⩾ 2 density can be written as a linear combination of R^n, which by itself would not propagate the generic massive graviton, plus a density which by itself would not propagate the generic scalar mode, R^n-12 n(n-1)R^{n-2} S_2, plus #(n) − 2 densities which contribute trivially to the linearized equations. Next, we obtain an analytic formula for the quasinormal modes and frequencies of the BTZ black hole as a function of the masses of the graviton and scalar modes for a general theory. Then, we provide a recursive formula as well as a general closed expression for order-n densities which non-trivially satisfy an holographic c-theorem, clarify their relation with Born–Infeld gravities and prove that the scalar mode is always absent from their spectrum. We show that, at each order n ⩾ 6, there exist #(n − 6) densities which satisfy the holographic c-theorem in a trivial way and that all of them are proportional to a single sextic density Omega_6=6S_3^2-S_2^3. Next, we show that there are also #(n − 6) order-n generalized quasi-topological densities in three dimensions, all of which are ´trivial´ in the sense of making no contribution to the metric function equation. Remarkably, the set of such densities turns out to coincide exactly with the one of theories trivially satisfying the holographic c-theorem. We comment on the meaning of Ω(6) and its relation to the Segre classification of three-dimensional metrics.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
IOP Publishing
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dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Three dimensions
dc.subject
Higher curvature gravities
dc.subject.classification
Física de Partículas y Campos
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Aspects of three-dimensional higher curvature gravities
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2024-07-29T14:03:46Z
dc.identifier.eissn
1361-6382
dc.journal.volume
39
dc.journal.number
12
dc.journal.pagination
1-40
dc.journal.pais
Reino Unido
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dc.journal.ciudad
Londres
dc.description.fil
Fil: Bueno, Pablo. Cern - European Organization For Nuclear Research. The Cern Council. Física Fundamental; Suiza
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Fil: Cano, Pablo A.. Katholikie Universiteit Leuven; Bélgica
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Fil: Llorens, Quim. Universidad de Barcelona. Facultad de Física; España
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Fil: Moreno, Javier. Katholikie Universiteit Leuven; Bélgica. Pontificia Universidad Católica de Valparaíso; Chile
dc.description.fil
Fil: Van Der Velde, Guido Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina
dc.journal.title
Classical and Quantum Gravity
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1361-6382/ac6cbf
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1088/1361-6382/ac6cbf
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