Non-supersymmetric Attractors in Born-Infeld Black Holes with a Cosmological Constant

TL;DR

This paper studies the attractor mechanism for extremal black holes in Einstein-Born-Infeld-dilaton theory with a cosmological constant, showing scalar field values depend only on charges near the horizon.

Contribution

It demonstrates the existence of non-supersymmetric attractors in a theory with higher derivative gauge interactions and a non-flat spacetime background.

Findings

Scalar fields at the horizon depend solely on black hole charges.

Attractor behavior persists despite higher derivative gauge interactions.

Attractor mechanism is valid in non-asymptotically flat spacetime.

Abstract

We investigate the attractor mechanism for spherically symmetric extremal black holes in Einstein-Born-Infeld-dilaton theory of gravity in four-dimensions, in the presence of a cosmological constant. We look for solutions analytic near the horizon by using perturbation method. It is shown that the values of the scalar fields at the horizon are only dependent on the charges carried by the black hole and are irrelevant in their asymptotic values. This analysis supports the validity of non-supersymmetric attractors in the presence of higher derivative interactions in the gauge fields part and in non-asymptotically flat spacetime.