Black hole and thin-shell wormhole solutions in Einstein-Hoffman-Born-Infeld theory

TL;DR

This paper explores black hole and thin-shell wormhole solutions within Einstein-Hoffman-Born-Infeld gravity, employing a historical nonlinear electrodynamics model to analyze stability and construct novel spacetime geometries.

Contribution

It introduces the use of the Hoffman-Born-Infeld Lagrangian in general relativity to generate black holes and stable thin-shell wormholes, highlighting stability in higher-dimensional gravity.

Findings

Constructed black hole solutions using HBI Lagrangian.

Demonstrated stability of thin-shell wormholes in 5D Einstein-HBI-Gauss-Bonnet gravity.

Revisited a historical nonlinear electrodynamics model in a modern gravitational context.

Abstract

We employ an old field theory model, formulated and discussed by Born, Infeld, Hoffman and Rosen during 1930s. Our method of cutting-gluing of spacetimes resolves the double-valuedness in the displacement vector D(E), pointed out by these authors. A characteristic feature of their model is to contain a logarithmic term, and by bringing forth such a Lagrangian anew, we aim to attract the interest of field theorists to such a Lagrangian. We adopt the Hoffman-Born-Infeld (HBI) Lagrangian in general relativity to construct black holes and investigate the possibility of viable thin-shell wormholes. In particular, the stability of thin-shell wormholes supported by normal matter in 5-dimensional Einstein-HBI-Gauss-Bonnet gravity is highlighted.