This article is available for purchase or by subscription. See below.
Abstract
|
We consider an Einstein-type equation which generalizes important geometric
equations, like static and critical point equations. We prove that a
complete Einstein-type manifold with fourth-order divergence-free Weyl
tensor and zero radial Weyl curvature is locally a warped product with
-dimensional
Einstein fibers, provided that the potential function is proper. As a consequence,
we prove a result about the nonexistence of multiple black holes in static
spacetimes.
|
PDF Access Denied
We have not been able to recognize your IP address
3.144.12.205
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for
USD 40.00:
Keywords
Einstein-type manifolds, Weyl tensor, harmonic Weyl
curvature.
|
Mathematical Subject Classification 2010
Primary: 53C20, 53C21, 53C25
|
Milestones
Received: 11 June 2019
Revised: 1 July 2020
Accepted: 24 July 2021
Published: 15 October 2021
|
|