# Cosmological wave maps

## TL;DR

This paper explores cosmological solutions in gravity theories with multiple coupled scalar fields modeled as wave maps, focusing on conditions for accelerated expansion without scalar potentials.

## Contribution

It introduces a framework for analyzing scalar fields as wave maps in cosmology and investigates conditions for acceleration without scalar potentials.

## Key findings

- Identifies conditions for accelerated expansion in wave map models.
- Compares wave map solutions to those in General Relativity.
- Demonstrates models without scalar potentials can produce acceptable cosmologies.

## Abstract

We consider theories of gravity that include many coupled scalar fields with arbitrary couplings, in the geometric framework of wave maps. We examine the possibility of obtaining acceptable cosmological solutions without the inclusion of a potential term to the scalar fields. To illustrate the theory, we study two simple models and compare their solutions to those in General Relativity. We also address the issue of the conditions that must be satisfied by the wave maps for an accelerated phase of the Universe.