A generalized Komar charge constructed via Lagrange multiplier promotion of the coupling constant yields a Smarr formula including that constant's contribution for asymptotically flat black hole and soliton solutions in Einstein-NLED theories, with application to the Bardeen regular black hole.
Black hole thermodynamics in the presence of nonlinear electromagnetic fields
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The paper derives GUP-modified Hawking radiation spectra and Gauss-Bonnet light deflection angles for Einstein-Dyonic-ModMax black holes in vacuum and plasma, along with quantum-corrected thermodynamics showing phase transitions.
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Derivation of the Smarr formula from the Komar charge in Einstein-nonlinear electrodynamics theories and applications to regular black holes
A generalized Komar charge constructed via Lagrange multiplier promotion of the coupling constant yields a Smarr formula including that constant's contribution for asymptotically flat black hole and soliton solutions in Einstein-NLED theories, with application to the Bardeen regular black hole.
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Thermal and Optical Signatures of Einstein-Dyonic ModMax Black Holes with GUP and Plasma Modifications
The paper derives GUP-modified Hawking radiation spectra and Gauss-Bonnet light deflection angles for Einstein-Dyonic-ModMax black holes in vacuum and plasma, along with quantum-corrected thermodynamics showing phase transitions.