Abstract We study the Einstein-Klein-Gordon system coupled to Born-Infeld electrodynamics. explore solution space of a static spherically symmetric, complex scalar field minimally both gravitational and electromagnetic fields. The resulting asymptotically flat solutions resemble known charged boson stars in Maxwell behaviour such configurations as function parameter b charge q has been analyzed...

The approach to the dynamics of a charged particle in the Born–Infeld nonlinear electrodynamics developed in [Phys. Lett. A 240 (1998) 8] is generalized to include a Born–Infeld dyon. Both Hamiltonian and Lagrangian structures of many dyons interacting with nonlinear electromagnetism are constructed. All results are manifestly duality invariant.

We derive a BPS-type bound for maximally rotational symmetric configurations in four-dimensional Born-Infeld action with constant B field background. The supersymmetric configuration saturates this bound and is regarded as an analog of instanton in U(1) gauge theory. Furthermore, we find the explicit solutions of this BPS condition. These solutions have a finite action proportional to the insta...