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Extremal cosmological black holes in Horndeski gravity and the anti-evaporation regime Ayuso, Ismael Saez Gómez, Diego Gravitation Physics Classical and Quantum Gravitation, Relativity Theory Cosmology Black holes (Astronomy) Producción Científica Extremal cosmological black holes are analysed in the framework of the most general second order scalar-tensor theory, the so-called Horndeski gravity. Such extremal black holes are a particular case of Schwarzschild-De Sitter black holes that arises when the black hole horizon and the cosmological one coincide. Such metric is induced by a particular value of the effective cosmological constant and is known as Nariai spacetime. The existence of this type of solutions is studied when considering the Horndeski Lagrangian and its stability is analysed, where the so-called anti-evaporation regime is studied. Contrary to other frameworks, the radius of the horizon remains stable for some cases of the Horndeski Lagrangian when considering perturbations at linear order. 2023-03-01T08:51:04Z 2023-03-01T08:51:04Z 2020 info:eu-repo/semantics/article Universe, 2020, Vol. 6, Nº.11, 210 2218-1997 https://uvadoc.uva.es/handle/10324/58800 10.3390/universe6110210 210 11 Universe 6 2218-1997 eng https://www.mdpi.com/2218-1997/6/11/210 info:eu-repo/grantAgreement/EC/H2020/15117 info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/4.0/ © 2020 The Authors Atribución 4.0 Internacional MDPI SI