General Relativity coupled with Non-Linear Electrodynamics: results and limitations

Abstract

We discuss how to generate a black hole solution of the Einstein Equations (EE) via non-linear electrodynamics (NED). We discuss the thermodynamical properties of a general NED solution, recovering the First Law. Then we illustrate the general mechanism and discuss some specific cases, showing that finding a generating Lagrangian (for a specific solution) only requires solving an algebraic equation (we study some analytical cases). Finally, we argue that NED paradigm, though self-consistent, is not the best tool for studying regular black holes.

15 pages, no figure; some references added

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Cited by in corpus (2)

• A note on singular and non-singular black holes
• A no-go theorem for regular black holes