Lower-dimensional Gauss-Bonnet gravity black holes with quintessence

In this paper, we study the D → 3 limit of Gauss-Bonnet gravity with quintessential matter, obtaining exact solutions that extend the BTZ metric through higher-curvature terms and quintessence coupling. The solutions exhibit a single event horizon whose radius decreases with increasing quintessence parameter ω q , while developing a curvature singularity at the origin for non-vanishing quintessence. The geodesic analysis reveals stable circular photon orbits exist exclusively for phantom-like quintessence ( ω q < − 1 ). Thermodynamically, the system is stable, since the specific heat is positive, and with evaporation it evolves to stable remnants whose characteristic size decreases as ω q increases, with complete evaporation prevented by quintessence effects. Furthermore, we find that all physical quantities intrinsically depend on the parameter α of the Gauss-Bonnet extension.These results demonstrate the profound influence of quintessential matter on both geometric and thermodynamic properties of (2+1)-dimensional black holes, offering new perspectives on gravitational theories in lower dimensions and black hole final states.

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Publication Details

Journal
Nuclear Physics B
Published
2026-02-04
DOI
https://doi.org/10.1016/j.nuclphysb.2026.117337
Primary Topic
Black Holes and Theoretical Physics
Type
article
Field-Weighted Citation Impact
0.00

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article

Lower-dimensional Gauss-Bonnet gravity black holes with quintessence

T.M. Crispim, J. Macedo, C.R. Muniz, G. Alencar
Nuclear Physics B
Black Holes and Theoretical Physics
article

Lower-dimensional Gauss-Bonnet gravity black holes with quintessence

T.M. Crispim, J. Macedo, C.R. Muniz, G. Alencar
article en

Abstract

In this paper, we study the D → 3 limit of Gauss-Bonnet gravity with quintessential matter, obtaining exact solutions that extend the BTZ metric through higher-curvature terms and quintessence coupling. The solutions exhibit a single event horizon whose radius decreases with increasing quintessence parameter ω q , while developing a curvature singularity at the origin for non-vanishing quintessence. The geodesic analysis reveals stable circular photon orbits exist exclusively for phantom-like quintessence ( ω q < − 1 ). Thermodynamically, the system is stable, since the specific heat is positive, and with evaporation it evolves to stable remnants whose characteristic size decreases as ω q increases, with complete evaporation prevented by quintessence effects. Furthermore, we find that all physical quantities intrinsically depend on the parameter α of the Gauss-Bonnet extension.These results demonstrate the profound influence of quintessential matter on both geometric and thermodynamic properties of (2+1)-dimensional black holes, offering new perspectives on gravitational theories in lower dimensions and black hole final states.

Nuclear Physics BVol. 1024
Universidade Estadual do Ceará (BR), Universidade Federal do Ceará (BR), Universidade Iguaçu (BR)
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Openalex Percentile: Top 65%
Black Holes and Theoretical Physics
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Lower-dimensional Gauss-Bonnet gravity black holes with quintessence — T.M. Crispim, J. Macedo, et al. · Nuclear Physics B (2026) | TGRS Research Map | TGRS