Core structure and exactly solvable models in dilaton gravity coupled to Maxwell and antisymmetric tensor fields

TL;DR

This paper analyzes the core structure of D-dimensional dilaton gravity coupled with Maxwell and antisymmetric tensor fields, revealing integrability classes and deriving new dyonic solutions with significant implications for black hole horizons and cosmological models.

Contribution

It introduces a full separability of the theory in static cases, identifies integrability classes, and constructs new dyonic solutions with potential relevance to cosmology and string theory.

Findings

Derived the core structure and integrability classes of the theory.

Obtained two-parametric families of dyonic solutions.

Found solutions that influence horizon structure and extremality.

Abstract

We consider the D-dimensional massive dilaton gravity coupled to Maxwell and antisymmetric tensor fields (EMATD). We derive the full separability of this theory in static case. This discloses the core structure of the theory and yields the simple procedure of how to generate integrability classes. As an example we take a certain new class, obtain the two-parametric families of dyonic solutions. It turns out that at some conditions they tend to the D-dimensional dyonic Reissner-Nordstr\"om-deSitter solutions but with ``renormalized'' dyonic charge plus a small logarithmic correction. The latter has the significant influence on the global structure of the non-perturbed solution - it may shift and split horizons, break down extremality, and dress the naked singularity. We speculate on physical importance of the deduced integrability classes, in particular on their possible role in understanding of the problem of unknown dilaton potential in modern cosmological and low-energy string models.