Exact Taub-NUT-like black holes in Einstein-bumblebee gravity: their thermodynamics and thermodynamic topology


Azreg-Aïnou M. Sekhmani Y.
January 2026Elsevier B.V.

Nuclear Physics B
2026#1022

We re-derive an exact analytic three-parameter expressions for the non-rotating metric, describing a Taub-NUT-like black hole (BH), and its associated bumblebee field that are solutions to the Einstein-bumblebee gravity. We construct a consistence thermodynamics for the Taub-NUT-like BH and determine its thermodynamic topological class. The Lorentz symmetry breaking affects the mass and temperature of the BH but does not affect its thermodynamic topological classification.

Einstein-bumblebee gravity , Exact solutions , Thermodynamic topological classification , Thermodynamics

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Başkent University, Engineering Faculty Bağlıca Campus, Ankara, 06780, Turkey
Center for Theoretical Physics, Khazar University, 41 Mehseti Street, Baku, AZ1096, Azerbaijan
Centre for Research Impact & Outcome, Chitkara University Institute of Engineering & Technology, Chitkara University, Punjab, Rajpura, 140401, India
Institute of Nuclear Physics, Ibragimova, 1, Almaty, 050032, Kazakhstan
Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, P.O. Box 33, Nizwa, 616, Oman

Başkent University
Center for Theoretical Physics
Centre for Research Impact & Outcome
Institute of Nuclear Physics
Department of Mathematical and Physical Sciences

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