TL;DR
This paper presents new analytic solutions for topological black holes in Einstein-Born-Infeld-dilaton theory with nontrivial topology and nonlinear electrodynamics, analyzing their thermodynamics and horizon structures.
Contribution
It introduces novel dilaton black hole solutions with nontrivial topology and nonlinear electrodynamics, expanding the understanding of their thermodynamic properties.
Findings
Black hole solutions with various horizon topologies are constructed.
Thermodynamic quantities satisfy the first law of black hole thermodynamics.
Solutions exhibit asymptotic behavior different from flat or (A)dS spacetimes.
Abstract
We construct a new analytic solution of Einstein-Born-Infeld-dilaton theory in the presence of Liouville-type potentials for the dilaton field. These solutions describe dilaton black holes with nontrivial topology and nonlinear electrodynamics. Black hole horizons and cosmological horizons in these spacetimes, can be a two-dimensional positive, zero or negative constant curvature surface. The asymptotic behavior of these solutions are neither flat nor (A)dS. We calculate the conserved and thermodynamic quantities of these solutions and verify that these quantities satisfy the first law of black hole thermodynamics.
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