Einstein-Gauss-Bonnet theory of gravity: The Gauss-Bonnet-Katz boundary term
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Fecha
2018-05
Profesor/a Guía
Facultad/escuela
Idioma
en
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Editor
American Physical Society
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Licencia CC
CC BY 3.0
CC BY 4.0
Licencia CC
Resumen
We propose a boundary term to the Einstein-Gauss-Bonnet action for gravity, which uses the Chern-Weil theorem plus a dimensional continuation process, such that the extremization of the full action yields the equations of motion when Dirichlet boundary conditions are imposed. When translated into tensorial language, this boundary term is the generalization to this theory of the Katz boundary term and vector for general relativity. The boundary term constructed in this paper allows to deal with a general background and is not equivalent to the Gibbons-Hawking-Myers boundary term. However, we show that they coincide if one replaces the background of the Katz procedure by a product manifold. As a first application we show that this Einstein Gauss-Bonnet Katz action yields, without any extra ingredients, the expected mass of the Boulware-Deser black hole. © 2018 American Physical Society.
Notas
Indexación Scopus
Palabras clave
Supergravity, Gravitation, Black Holes
Citación
Physical Review D Volume 97, Issue 1015 May 2018 Article number 104009
DOI
10.1103/PhysRevD.97.104009