On the Ricci curvature equation and the Einstein equation for diagonal tensors
Data
2011
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Resumo
We consider the pseudo-euclidean space (R n , g), with n ≥ 3. We
provide necessary and sufficient conditions for a diagonal tensor to admit
a metric ḡ, conformal to g, that solves the Ricci tensor equation or the
Einstein equation. Examples of complete metrics are included.
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Citação
PINA, Romildo; TENENBLAT, Keti. On the Ricci curvature equation and the Einstein equation for diagonal tensors. Matemática Contemporânea, Rio de Janeiro, v. 40, p. 213-226, 2011.