For dyonic nonlinear electrodynamics with equal charges, the electromagnetic invariant f vanishes identically, enabling simple gravitating solutions in GR and extended gravity theories.
Aspects of Born-Infeld theory and string/M-theory
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abstract
These notes provide a hopefully pedagogic introduction to Born-Infeld theory and some of its uses in String/M-Theory from the perspective of some-one interested in spacetime geometry. Causality and the consequences of having both the open string and closed string metric are stressed. This leads to some new insighst into old problems, such as strings at finite temperature. Various strong coupling limits of both Born-Infeld and the M5-brane theories are described and their relevance for tachyon condensations are mentioned.
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Treating the cosmological constant as pressure in black hole thermodynamics yields an extended dictionary with enthalpy, thermodynamic volume, and chemical-like phase transitions including Van der Waals behavior, reentrant transitions, and triple points.
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On gravitating dyonic configurations in nonlinear electrodynamics
For dyonic nonlinear electrodynamics with equal charges, the electromagnetic invariant f vanishes identically, enabling simple gravitating solutions in GR and extended gravity theories.
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Black hole chemistry: thermodynamics with Lambda
Treating the cosmological constant as pressure in black hole thermodynamics yields an extended dictionary with enthalpy, thermodynamic volume, and chemical-like phase transitions including Van der Waals behavior, reentrant transitions, and triple points.