AdS dyonic black hole and its thermodynamics

By Hong Lu, Y. Pang, C. Pope. 2013

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A bstractWe obtain spherically-symmetric and $ {{\mathbb{R}}^2} $-symmetric dyonic black holes that are asymptotic to anti-de Sitter space-time (AdS), which are solutions in maximal gauged four-dimensional supergravity, with just one of the U(1) fields carrying both the electric and magnetic charges (Q, P). We study the thermodynamics, and find that the usually-expected first law does not hold unless P = 0, Q = 0 or P = Q. For general values of the charges, we find that the first law requires a modification with a new pair of thermodynamic conjugate variables. We show that they describe the scalar hair that breaks some of the asymptotic AdS symmetries.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6bea946598f9e3ffd1129ff15623723a480e2137