English

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

General Relativity and Quantum Cosmology 2016-01-20 v2

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.

Keywords

Cite

@article{arxiv.1512.07579,
  title  = {General Relativity coupled with Non-Linear Electrodynamics: results and limitations},
  author = {Stefano Chinaglia},
  journal= {arXiv preprint arXiv:1512.07579},
  year   = {2016}
}

Comments

15 pages, no figure; some references added

R2 v1 2026-06-22T12:16:58.617Z