Thermodynamics of black holes immersed in EMD-like electrovacua

Determine whether the approach that derives black-hole thermodynamics without constructing explicit black-hole solutions can be applied to black holes immersed in electrovacua in Einstein-Maxwell-dilaton-like theories.

Background

The paper notes that its solutions are primarily local and that their global structure remains to be investigated. It then identifies a broader unresolved question: whether recently proposed methods for deriving black-hole thermodynamics without explicit solution construction extend to black holes placed in electrovacua of Einstein-Maxwell-dilaton-like theories.

References

It would be of great interest to investigate whether analogous approach can applied to black holes immersed in elecrovacua in EMD-like theories as well.

— Schwarzschild Black Hole in Uniform Magnetic Field in Einstein-Maxwell-Dilaton Theories  (2609.19261 - Ma et al., 16 Sep 2026) in Section 7, Conclusions