$D=10$ dyonic black holes in string inspired models

TL;DR

This paper constructs explicit dyonic black hole solutions in ten-dimensional string-inspired models with higher curvature corrections, revealing new features like branch singularities that can be hidden behind horizons.

Contribution

It provides the first explicit family of dyonic black hole solutions in D=10 string-inspired models including R^4 corrections, extending previous p-brane solutions.

Findings

Solutions exhibit branch singularities that can be horizon-shielded.

Higher curvature terms introduce novel qualitative features.

Solutions reduce to known p-brane solutions when corrections are off.

Abstract

We consider string inspired models in $D=10$ spacetime dimensions, which include couplings with 1- and 3-form fields as well as $R^4$ higher curvature corrections to the gravitational action. For such models, we explicitly construct a family of black hole solutions with both electric and magnetic charges, and with different horizon topologies. The solutions exhibit some features similar to those of self-gravitating monopoles in Einstein-Yang-Mills theory, which we discuss. When higher-curvature corrections are switched off, our solutions reduce to charged $p$-brane solutions previously studied in the literature. Novel qualitative features appear due to the $R^4$ terms, though. Such is the case of the emergence of branch singularities for charged solutions that, nonetheless, can be shielded by the event horizon.