28191 2510.25559 10.1007/JHEP02(2026)143 143 143 Maxwell Chern-Simons gravity in 3D: thermodynamics of cosmological solutions and black holes with torsion 01 Mathematical Sciences 0101 Pure Mathematics Regular Article - Theoretical Physics 1 31 2026 2 13 2025 11 18 2025 12 31 2026 2 13 2026 2 13 National Agency for Research and Development 1250642 National Agency for Research and Development 1231133 National Agency for Research and Development 1221624 National Agency for Research and Development 1250487 Ministry of Science and Innovation PID2021-125700NB-C21 Institute of Theoretical Physics Centro de Excelencia Severo Ochoa CEX2020-001007-S National Agency for Research and Development 85220027 The Author(s) 2026 Open Access. This article is distributed under the terms of the Creative Commons Attribution License ( CC-BY 4.0 ), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. 13130 2026 2026 2 2 Luis Avilés luaviles@unap.cl Patrick Concha patrick.concha@ucsc.cl Javier Matulich javier.matulich@csic.es Evelyn Rodríguez erodriguez@ucsc.cl David Tempo jtempol@unap.cl https://ror.org/01hrxxx24 grid.412849.2 0000 0000 9153 4251 Instituto de Ciencias Exactas y Naturales (ICEN) Universidad Arturo Prat Playa Brava 3256 1111346 Iquique Chile https://ror.org/01hrxxx24 grid.412849.2 0000 0000 9153 4251 Facultad de Ciencias Universidad Arturo Prat Avenida Arturo Prat Chacón 2120 1110939 Iquique Chile https://ror.org/03y6k2j68 grid.412876.e 0000 0001 2199 9982 Departamento de Matemática y Física Aplicadas Universidad Católica de la Santísima Concepción Alonso de Ribera 2850 Concepción Chile https://ror.org/03y6k2j68 grid.412876.e 0000 0001 2199 9982 Grupo de Investigación en Física Teórica, GIFT Universidad Católica de la Santísima Concepción Alonso de Ribera 2850 Concepción Chile https://ror.org/01cby8j38 grid.5515.4 0000 0001 1957 8126 Instituto de Física Teórica UAM/CSIC Universidad Autónoma de Madrid C/ Nicolás Cabrera 13-15, Cantoblanco 28049 Madrid Spain Abstract We construct generalized sets of asymptotic conditions for both three-dimensional Maxwell Chern-Simons gravity and a novel extension that incorporates torsion through a deformation of the Maxwell algebra. These boundary conditions include the most general temporal components of the gauge fields that consistently preserve the corresponding asymptotic Maxwell algebras with identical classical central charges, while allowing for the inclusion of chemical potentials conjugate to the conserved charges. We show that both sets of asymptotic configurations admit nontrivial solutions carrying not only mass and angular momentum but also an additional global spin-2 charge. In the torsionless case, the theory admits locally flat cosmological spacetimes, whereas in the presence of torsion, it generalizes to BTZ-like black hole geometries. For each case, the thermodynamic properties are consistently derived in terms of the gauge fields and the topology of the Euclidean manifold, shown to correspond to a solid torus. Furthermore, we obtain a general expression for the entropy, depending on both the horizon area and its spin-2 analogues, which can be written as a reparametrization-invariant integral of the induced spin-2 fields on the spacelike section of the horizon. Keywords Classical Theories of Gravity Space-Time Symmetries Chern-Simons Theories Gauge Symmetry ArXiv ePrint: 2510.25559