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Black objects in the Einstein-Gauss-Bonnet theory with negative cosmological constant and the boundary counterterm method

2008/06/30 by Yves Brihaye, Eugen Radu · 65 citations
Mathematics · Physics and Astronomy · #Action (physics) #Anti-de Sitter space #Black Holes and Theoretical Physics #Black hole (networking) #Boundary (topology) #Cauchy stress tensor #Cosmological constant #Cosmology and Gravitation Theories #Geometric Analysis and Curvature Flows #Gravitation #String theory #Tensor (intrinsic definition) #gr-qc #hep-th

paper · pdf · doi:10.1088/1126-6708/2008/09/006

published in Journal of High Energy Physics 2008(09), 006 (Springer Nature) · 27 pages, 6 figures, references added, discussion extended

arxiv created 2008/08/31 · openalex publication_date 2008/09/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We propose to compute the action and global charges of the asymptotically anti-de Sitter solutions in Einstein-Gauss-Bonnet theory by adding boundary counterterms to the gravitational action. The general expression of the counterterms and the boundary stress tensor is presented for spacetimes of dimension d≤ 9. We apply this tehnique for several different types of black objects. Apart from static and rotating black holes, we consider also Einstein-Gauss-Bonnet black string solutions with negative cosmological constant.

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