Generalized Einstein–Power Maxwell theory in 2+1-dimensions
Department of Physics, Faculty of Arts and Sciences, Eastern Mediterranean University, via Mersin 10, Famagusta, North Cyprus, Turkey
Accepted: 17 May 2021
Published online: 22 May 2021
Using the generalized Einstein–Power Maxwell Lagrangian which has been proposed very recently by Mazharimousavi (Class Quantum Gravity 37:197001, 2020), we find an electric black hole solution in 2+1-dimensions. The solution is singular and non-asymptotically flat associated with only one horizon. The thermodynamic properties are investigated, and it is shown that the black hole is thermally stable. In the context of the extended thermodynamic phase space, we find Smarr’s formula consistent with the first law of the black holes.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021