On 2-dimensional Kaehler metrics with one holomorphic isometry
High Energy Physics - Theory
2016-11-30 v2 General Relativity and Quantum Cosmology
Abstract
We show how to write any Kaehler metric of complex dimension 2 admitting a holomorphic isometry as a simple 1-real-function deformation of a Gibbons-Hawking metric. Hyper-Kaehler metrics with a tri-holomorphic isometry (Gibbons-Hawking metrics) or with a mono-holomorphic isometry are recovered for particular values of the additional function. The new general metric can be used as an Ansatz in several interesting physical problems.
Cite
@article{arxiv.1610.02078,
title = {On 2-dimensional Kaehler metrics with one holomorphic isometry},
author = {Samuele Chimento and Tomas Ortin},
journal= {arXiv preprint arXiv:1610.02078},
year = {2016}
}
Comments
Two references added. A very important comment concerning the novelty of the results presented has also been added in the front page