Melvin Universe in Born-Infeld gravity

Abstract

We consider a magnetic flux pointing in the $z$ direction of an axially symmetric space-time (Melvin Universe) in a Born-Infeld-type extension of General Relativity (GR) formulated in the Palatini approach. Large magnetic fields could have been produced in the early Universe, and given rise to interesting phenomenology regarding wormholes and black hole remnants. We find a formal analytic solution to this problem that recovers the GR result in the appropriate limits. Our results set the basis for further extensions that could allow the embedding of pairs of black hole remnants in geometries with intense magnetic fields.

6 pages, 1 figure

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• Cascading dust inflation in Born-Infeld gravity
• Cosmological magnetic field---the boost-symmetric case
• Geodesically complete BTZ-type solutions of $2+1$ Born-Infeld gravity
• Nonsingular black holes in Palatini extensions of General Relativity
• Spin-induced scalarization and magnetic fields
• The virial theorem in Eddington-Born-Infeld gravity