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Cited by 34Black Holes and Theoretical PhysicsCosmology and Gravitation TheoriesAdvanced Differential Geometry Research

Static solutions with nontrivial boundaries for the Einstein-Gauss-Bonnet theory in vacuum

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Dotti, Gustavo, Oliva, Julio, Troncoso, Ricardo·2010·Physical Review D
DOI 10.1103/physrevd.82.024002
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Abstract

The classification of a certain class of static solutions for the Einstein-Gauss-Bonnet theory in vacuum is performed in $d\ensuremath{\ge}5$ dimensions. The class of metrics under consideration is such that the spacelike section is a warped product of the real line and an arbitrary base manifold. It is shown that for a generic value of the Gauss-Bonnet coupling, the base manifold must be necessarily Einstein, with an additional restriction on its Weyl tensor for $d>5$. The boundary admits a wider class of geometries only in the special case when the Gauss-Bonnet coupling is such that the theory admits a unique maximally symmetric solution. The additional freedom in the boundary metric enlarges the class of allowed geometries in the bulk, which are classified within three main branches, containing new black holes and wormholes in vacuum.

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Authors
Dotti, G., Oliva, J., & Troncoso, R.
Affiliations
  • Consejo Nacional de Investigaciones Científicas y Técnicas (AR)
  • Austral University of Chile (CL)
  • Centro de Estudios Científicos (CL)
ORCID
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2010-07-01
Volume
82
Issue
2
ISSN
  • 0556-2821 (ISSN-L)
  • 1550-7998
  • 1550-2368
DOI
10.1103/physrevd.82.024002
OpenAlex
W2126879825
Cited by
34
References
1
Citations by year
2026: 1 · 2025: 5 · 2023: 3 · 2021: 1 · 2020: 2 · 2019: 2 · 2018: 2 · 2017: 1 · 2016: 4 · 2015: 4 · 2014: 1 · 2013: 3 · 2012: 1
FWCI
1.30
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • Americanae (AECID Library) (submittedVersion, other-oa)
  • LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) (submittedVersion, other-oa)
  • arXiv (Cornell University)
Funders
  • Universidad Nacional de Córdoba
  • Consejo Nacional de Investigaciones Científicas y Técnicas
Topics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Advanced Differential Geometry Research
Keywords
Einstein-Gauss-Bonnet theory, static solutions, vacuum solutions, warped product metrics, higher-dimensional gravity, Einstein manifolds, Weyl tensor, black holes, wormholes

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