Some examples of exponentially harmonic maps

TL;DR

This paper explores specific examples of exponentially harmonic maps across different geometries, including flat spaces and cosmological models, and introduces new gravity-coupled models based on string theory generalizations.

Contribution

It provides new examples of exponentially harmonic maps in various geometries and proposes models coupling these maps with gravity, extending previous theoretical frameworks.

Findings

Examples of exponentially harmonic maps on Euclidean and Minkowski spaces.

New models coupling exponentially harmonic maps with gravity.

Generalization of string-inspired Lagrangians for these maps.

Abstract

The aim of this paper is to study some examples of exponentially harmonic maps. We study such maps firstly on flat euclidean and Minkowski spaces and secondly on Friedmann-Lema\^ itre universes. We also consider some new models of exponentially harmonic maps which are coupled with gravity which happen to be based on a generalization of the lagrangian for bosonic strings coupled with dilatonic field.