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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

General relativity from Einstein-Gauss-Bonnet gravity

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Author(s):
Canfora, Fabrizio [1] ; Cisterna, Adolfo [2] ; Fuenzalida, Sebastian [3] ; Henriquez-Baez, Carla [4] ; Oliva, Julio [4]
Total Authors: 5
Affiliation:
[1] Ctr Estudios Cient, Casilla 1469, Valdivia - Chile
[2] Univ Tarapaca, Sede Esmeralda, Ave Luis Emilio Recabarren 2477, Iquique - Chile
[3] Univ Tecn Federico Santa Maria, Dept Fis, Casilla 110-V, Valparaiso - Chile
[4] Univ Concepcion, Dept Fis, Casilla 160-C, Concepcion - Chile
Total Affiliations: 4
Document type: Journal article
Source: Physical Review D; v. 104, n. 4 AUG 11 2021.
Web of Science Citations: 0
Abstract

In this work we show that Einstein gravity in four dimensions can be consistently obtained from the compactification of a generic higher curvature Lovelock theory in dimension D = 4 + p, (p >= 1). The compactification is performed on a direct product space M-D = M-4 x K-p, where K-p is a Euclidean internal manifold of constant curvature. The process is carried out in such a way that no fine tuning between the coupling constants is needed. The compactification requires us to dress the internal manifold with the flux of suitable p-forms whose field strengths are proportional to the volume form of the internal space. We explicitly compactify Einstein-Gauss-Bonnet theory from dimension six to Einstein theory in dimension four and sketch out a similar procedure for this compactification to take place starting from dimension five. Several black string/p-branes solutions are constructed, among which, a five dimensional asymptotically flat black string composed of a Schwarzschild black hole on the brane is particularly interesting. Finally, the thermodynamic of the solutions is described and we find that the consistent compactification modifies the entropy by including a constant term, which may induce a departure from the usual behavior of the Hawking-Page phase transition. New scenarios are possible in which large black holes dominate the canonical ensemble for all temperatures above the minimal value. (AU)

FAPESP's process: 19/13231-7 - Chile - São Paulo network on holography
Grantee:Horatiu Stefan Nastase
Support Opportunities: Regular Research Grants