Electrostatic system with divergence-free Bach tensor and non-null cosmological constant

Autor:	Leandro, Benedito, Lousa, Róbson
Rok vydání:	2022
Předmět:	Mathematics - Differential Geometry 83C22 83C05 53C18
Druh dokumentu:	Working Paper
Popis:	We prove that three-dimensional electrostatic manifolds with divergence-free Bach tensor are locally conformally flat, provide that the electric field and the gradient of the lapse function are linearly dependent. Consequently, a three-dimensional electrostatic manifold admits a local warped product structure with a one-dimensional base and a constant curvature surface fiber.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2210.16673 Zobrazit plný text záznamu View this record from Arxiv