Archivio Istituzionale della RicercaWe present a characterization of 2-dimensional Lorentzian manifolds with con-stant Ricci scalar curvature. It is well known that every 2-dimensional Lorentzian manifolds is conformally flat, so we rewrite the Ricci scalar curvature in terms of the conformal factor and we study the solutions of the corresponding differential equations. Several remarkable examples are provided.
NOTES ON A CONFORMAL CHARACTERIZATION OF 2-DIMENSIONAL LORENTZIAN MANIFOLDS WITH CONSTANT RICCI SCALAR CURVATURE / Cangiotti, N; Sensi, M. - In: SCIENTIFIC BULLETIN - "POLITEHNICA" UNIVERSITY OF BUCHAREST. SERIES A, APPLIED MATHEMATICS AND PHYSICS. - ISSN 1223-7027. - 83:2(2021), pp. 129-136.
NOTES ON A CONFORMAL CHARACTERIZATION OF 2-DIMENSIONAL LORENTZIAN MANIFOLDS WITH CONSTANT RICCI SCALAR CURVATURE
Sensi, M
2021
Abstract
We present a characterization of 2-dimensional Lorentzian manifolds with con-stant Ricci scalar curvature. It is well known that every 2-dimensional Lorentzian manifolds is conformally flat, so we rewrite the Ricci scalar curvature in terms of the conformal factor and we study the solutions of the corresponding differential equations. Several remarkable examples are provided.
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https://hdl.handle.net/11583/2993452