Generalized Ernst Potentials for arbitrary Dilatonic Theories
General Relativity and Quantum Cosmology
2026-03-04 v1
Abstract
In this work, we generalize Ernst potentials to the Einstein-Maxwell-Dilaton case and explicitly write the corresponding potential space metric. Since this metric is five-dimensional in potential space, we generalize the corresponding Newman-Penrose coefficients for this metric and compare this formalism with previous approaches to show that this formulation is very convenient for analyzing these spacetimes and finding new exact solutions. We show how to obtain old exact solutions and some new ones with very interesting properties.
Keywords
Cite
@article{arxiv.2603.02384,
title = {Generalized Ernst Potentials for arbitrary Dilatonic Theories},
author = {Leonel Bixano and Tonatiuh Matos},
journal= {arXiv preprint arXiv:2603.02384},
year = {2026}
}