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.
Highlights
String theory induces modifications to Einstein gravity which are represented by the presence of higher-curvature terms in the low-energy effective action
We have shown that magnetically charged solutions of this type exhibit weakened asymptotics that are reminiscent of those of self-gravitating monopoles in Einstein-Yang-Mills theory
We have shown that the higher-curvature terms make the electrically charged solutions develop a branch singularity at a finite distance, which can be well shielded by the event horizon
Summary
String theory induces modifications to Einstein gravity which are represented by the presence of higher-curvature terms in the low-energy effective action. For a particular choice of R4 terms we will be able to write down black hole solutions that are charged under different p-form fluxes analytically. We will write down analytic dyonic black hole solutions charged under both the 1- and 3-form fields, and with different horizon topologies. Higher-genus topological black holes with compact horizons require to consider as a base manifold the product of Fuchsian quotients of hyperbolic spaces. The two most interesting and less-simple examples are black hole solutions whose horizons are either products of four 2-spheres or of two 4-spheres. These solutions are supported by magnetic fluxes on the spheres and admit net electric charges. The latter are the cases we will study in this paper
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