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arXiv · 2005.08671

Notes on a conformal characterization of $2$-dimensional Lorentzian manifolds with constant Ricci scalar curvature

Nicolò Cangiotti·Mattia Sensi
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Abstract

We present a characterization of $2$-dimensional Lorentzian manifolds with constant 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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Nicolò Cangiotti, Mattia Sensi. 2020-05-18. Notes on a conformal characterization of $2$-dimensional Lorentzian manifolds with constant Ricci scalar curvature. https://arxiv.org/abs/2005.08671

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