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AdS black holes in two-dimensional dilaton gravity and holography

Uriel Noriega-Cornelio*

Alfredo Herrera-Aguilar†

Cupatitzio Ramírez-Romero‡

  • *Contact author: uriel.noriegacor1@alumno.buap.mx
  • †Contact author: aherrera@ifuap.buap.mx
  • ‡Contact author: cramirez@fcfm.buap.mx
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Phys. Rev. D 112, 104037 – Published 14 November, 2025

DOI: https://doi.org/10.1103/ymyh-x9gp

Abstract

In this paper, we present two novel analytic anti–de Sitter (AdS) black hole solutions in a two-dimensional dilaton gravity theory with two scalar fields nonminimally coupled to gravity. Our solutions contain two arbitrary integration constants in the blackening factor f(r), allowing for an extremal configuration. Solution I reproduces a previously reported AdS black hole when one of the integration constants in f(r) vanishes. For our black hole configurations, the scalar curvature is constant and negative, corresponding to the AdS2 spacetime. In order to elucidate their black hole nature, we explore the causal structure of these solutions with the aid of suitable Kruskal-like coordinates and Penrose diagrams. By employing the Hamilton-Jacobi method, we construct a boundary counterterm that renders a renormalized action with a vanishing variation. We use this finite action for the partition function in the semiclassical approximation. We establish a consistent thermodynamics, verified by the first law, for our black hole solutions, including the extremal case. Finally, we perform a holographic analysis of the effective theory at the boundary of the black hole solution I. This theory is characterized by a Schwarzian action supplemented by a black hole mass term determined by the two integration constants in f(r). We also examine the holographic implications of the boundary counterterm.

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Phys. Rev. D 112, 104037– Published 14 November, 2025
  • Received 23 January 2025
  • Accepted 16 October 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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