Renormalization of Einstein-Gauss-Bonnet AdS gravity

Fuente: arXiv
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Autori principali: Anastasiou, Giorgos, Araya, Ignacio J., Chakraborty, Avik, Corral, Cristóbal, Olea, Rodrigo
Natura: Preprint
Pubblicazione: 2025
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author Anastasiou, Giorgos
Araya, Ignacio J.
Chakraborty, Avik
Corral, Cristóbal
Olea, Rodrigo
author_facet Anastasiou, Giorgos
Araya, Ignacio J.
Chakraborty, Avik
Corral, Cristóbal
Olea, Rodrigo
contents The asymptotic analysis for the metric of a generic solution of Einstein-Gauss-Bonnet AdS theory is provided by solving the field equations in the Fefferman-Graham frame. Using standard holographic renormalization, the counterterms that render the action finite are found up to seven spacetime dimensions. In the case of 6D, an equivalent formulation that permits a fully covariant determination of the counterterms is introduced, based on the finiteness of conformal invariants. It is shown that both schemes end up in the same holographic stress-energy tensor. Physical properties of six-dimensional topological Boulware-Deser black holes in Einstein-Gauss-Bonnet-AdS$_6$ gravity, whose boundary has nontrivial conformal features, are worked out in detail. Employing both renormalization prescriptions, finite asymptotic charges are found, and the correct black hole thermodynamics is recovered.
format Preprint
id arxiv_https___arxiv_org_abs_2511_20286
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Renormalization of Einstein-Gauss-Bonnet AdS gravity
Anastasiou, Giorgos
Araya, Ignacio J.
Chakraborty, Avik
Corral, Cristóbal
Olea, Rodrigo
High Energy Physics - Theory
General Relativity and Quantum Cosmology
The asymptotic analysis for the metric of a generic solution of Einstein-Gauss-Bonnet AdS theory is provided by solving the field equations in the Fefferman-Graham frame. Using standard holographic renormalization, the counterterms that render the action finite are found up to seven spacetime dimensions. In the case of 6D, an equivalent formulation that permits a fully covariant determination of the counterterms is introduced, based on the finiteness of conformal invariants. It is shown that both schemes end up in the same holographic stress-energy tensor. Physical properties of six-dimensional topological Boulware-Deser black holes in Einstein-Gauss-Bonnet-AdS$_6$ gravity, whose boundary has nontrivial conformal features, are worked out in detail. Employing both renormalization prescriptions, finite asymptotic charges are found, and the correct black hole thermodynamics is recovered.
title Renormalization of Einstein-Gauss-Bonnet AdS gravity
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2511.20286