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Main Author: Ghezelbash, Masoud
Format: Preprint
Published: 2021
Subjects:
Online Access:https://arxiv.org/abs/2105.01594
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author Ghezelbash, Masoud
author_facet Ghezelbash, Masoud
contents We construct approximate solutions to the Einstein-Maxwell theory with uplifting the four dimensional Fubini-Study Kahler manifold. We find the solutions can be expressed as the integrals of two special functions. The solutions are regular almost everywhere except a bolt structure on a single point in any dimensionality. We also show that in the context of considered ansatzes for the metric function and the Maxwell field, the solutions are unique and can not be non-trivially extended to include the cosmological constant in any dimensions.
format Preprint
id arxiv_https___arxiv_org_abs_2105_01594
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Fubini-Study geometries in the higher-dimensional gravity
Ghezelbash, Masoud
General Relativity and Quantum Cosmology
We construct approximate solutions to the Einstein-Maxwell theory with uplifting the four dimensional Fubini-Study Kahler manifold. We find the solutions can be expressed as the integrals of two special functions. The solutions are regular almost everywhere except a bolt structure on a single point in any dimensionality. We also show that in the context of considered ansatzes for the metric function and the Maxwell field, the solutions are unique and can not be non-trivially extended to include the cosmological constant in any dimensions.
title Fubini-Study geometries in the higher-dimensional gravity
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2105.01594