Solutions of Einstein's equations with conformal symmetries and a contact slice

DOI10.1016/j.na.2008.11.036zbMath1238.53051OpenAlexW1973124722MaRDI QIDQ419814

Ramesh Sharma, Krishan Lal Duggal

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.11.036

zbMATH Keywords

\(K\)-contact metricconformal vector fieldsspace-like slicesWeyl conformal tensorgeneralized Robertson-Walker space-time

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (1)

Professor Krishan L. Duggal: A Biographical Note

Cites Work

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• Conformal Killing vector fields on spacetime solutions of Einstein's equations and initial data
• Homothetic and conformal symmetries of solutions to Einstein's equations
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• Conformal symmetries of Einstein’s field equations and initial data
• Spacetimes admitting inheriting conformal Killing vector fields
• Conformal Killing vectors in Robertson-Walker spacetimes
• Spacelike hypersurfaces of constant mean curvature in certain spacetimes
• Spacetimes with cosmological constant and a conformal Killing field have constant curvature
• The Einstein Equations of Evolution-A Geometric Approach
• Riemannian geometry of contact and symplectic manifolds

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