### 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.

Idioma original | English |
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Número de artículo | 104009 |

Publicación | Physical Review D |

Volumen | 97 |

N.º | 10 |

DOI | |

Estado | Published - 15 may 2018 |

### Huella dactilar

### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Citar esto

*Physical Review D*,

*97*(10), [104009]. https://doi.org/10.1103/PhysRevD.97.104009

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*Physical Review D*, vol. 97, n.º 10, 104009. https://doi.org/10.1103/PhysRevD.97.104009

**Einstein-Gauss-Bonnet theory of gravity : The Gauss-Bonnet-Katz boundary term.** / Deruelle, Nathalie; Merino, Nelson; Olea, Rodrigo.

Resultado de la investigación: Article

TY - JOUR

T1 - Einstein-Gauss-Bonnet theory of gravity

T2 - The Gauss-Bonnet-Katz boundary term

AU - Deruelle, Nathalie

AU - Merino, Nelson

AU - Olea, Rodrigo

PY - 2018/5/15

Y1 - 2018/5/15

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85048089215&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.97.104009

DO - 10.1103/PhysRevD.97.104009

M3 - Article

VL - 97

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 10

M1 - 104009

ER -