Generalized Ernst Potentials for arbitrary Dilatonic Theories

Fuente: arXiv
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Autori principali: Bixano, Leonel, Matos, Tonatiuh
Natura: Preprint
Pubblicazione: 2026
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author Bixano, Leonel
Matos, Tonatiuh
author_facet Bixano, Leonel
Matos, Tonatiuh
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2603_02384
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Generalized Ernst Potentials for arbitrary Dilatonic Theories
Bixano, Leonel
Matos, Tonatiuh
General Relativity and Quantum Cosmology
83C15, 83C22, 83C20, 83C57, 53B20
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.
title Generalized Ernst Potentials for arbitrary Dilatonic Theories
topic General Relativity and Quantum Cosmology
83C15, 83C22, 83C20, 83C57, 53B20
url https://arxiv.org/abs/2603.02384