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arXiv · 2606.13546

Logarithmic corrections to the entropy of near-extremal black holes in New Massive Gravity

Lucas Acito·Mariano Chernicoff·Julio Oliva·Cielo Ramirez de Arellano Torres·Matías Sempe
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Abstract

We study the one-loop correction to the entropy of near-extremal black holes in three-dimensional massive gravity at the special point where the theory exhibits a unique maximally symmetric vacuum and non-constant curvature hairy black holes can achieve extremality even in the static case. Focusing on the near-horizon AdS$_2\times S^1$ geometry, we evaluate the contribution of boundary graviton modes that become exact zero modes in the extremal limit. We show that the resulting one-loop partition function generates logarithmic corrections to the semiclassical entropy, providing a new extension to higher-curvature gravity of what has been recently obtained for near-extremal black holes in General Relativity.

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Lucas Acito, Mariano Chernicoff, Julio Oliva, Cielo Ramirez de Arellano Torres, Matías Sempe. 2026-06-11. Logarithmic corrections to the entropy of near-extremal black holes in New Massive Gravity. https://arxiv.org/abs/2606.13546

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