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arXiv · 1512.07579

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

Stefano Chinaglia
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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.

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Stefano Chinaglia. 2015-12-22. General Relativity coupled with Non-Linear Electrodynamics: results and limitations. https://arxiv.org/abs/1512.07579

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