Special Standard Static Space-Times

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Date

2004

Journal Title

Journal ISSN

Volume Title

Publisher

Pergamon-elsevier Science Ltd

Open Access Color

BRONZE

Green Open Access

Yes

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No
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Top 10%

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Abstract

Essentially, some conditions for the Riemannian factor and the warping function of a standard static space-time are obtained in order to guarantee that no nontrivial warping function on the Riemannian factor can make the standard static space-time Einstein. (C) 2004 Elsevier Ltd. All rights reserved.

Description

Keywords

space-time, warped product, Einstein manifold, Ricci-flat, scalar curvature, Mathematics - Differential Geometry, 53C25, 53C50, 53C80, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology, Functional Analysis (math.FA), Mathematics - Functional Analysis, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, Special Riemannian manifolds (Einstein, Sasakian, etc.), Mathematics - Analysis of PDEs, space-time, Differential Geometry (math.DG), Einstein manifold, FOS: Mathematics, Ricci-flat, Applications of global differential geometry to the sciences, warped product, Analysis of PDEs (math.AP)

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Fields of Science

01 natural sciences, 0103 physical sciences, 0101 mathematics

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Q1

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OpenCitations Citation Count
17

Source

Nonlinear Analysis: Theory, Methods & Applications

Volume

59

Issue

5

Start Page

759

End Page

770

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Citations

CrossRef : 6

Scopus : 21

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Mendeley Readers : 5

SCOPUS™ Citations

21

checked on Jan 30, 2026

Web of Science™ Citations

21

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1

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0.20410192

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