Invariants of the Riemann tensor for class \(B\) warped product space-times

DOI10.1016/S0010-4655(98)00134-9zbMath1002.83503arXivgr-qc/9809012MaRDI QIDQ1125196

Kevin Santosuosso, Denis Pollney, Kayll Lake, Nicos Pelavas, Peter Musgrave

Publication date: 30 November 1999

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9809012

zbMATH Keywords

invariantsRicci scalarRiemann tensorcomputer algebra systemWeyl invariant

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Computational methods for problems pertaining to relativity and gravitational theory (83-08)

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Uses Software

• GRTensorII
• NP
• SHEEP

Cites Work

• Topology and cosmology
• Geometric interpretation of the mixed invariants of the Riemann spinor
• On the geometry of warped spacetimes
• Similarity reduction of the one-Killing-vector vacuum equations in general relativity
• Conformally symmetric static fluid spheres
• Algebraic invariants of the Riemann tensor in a four-dimensional Lorentzian space
• Electric and magnetic Weyl tensors: classification and analysis
• The electric and magnetic Weyl tensors
• Energy - momentum types of warped spacetimes
• A metric with no symmetries or invariants
• The identities of the algebraic invariants of the four-dimensional Riemann tensor
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