New answers tagged lorentzian-geometry
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Question on Lorentzian geometry
The signature convention $(−,+,\cdots,+)$ is more commonly used in General Relativity and Lorentzian geometry because of the desire among their practicioners to make a closer parallel to Riemannian ...
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Causality of Killing vector fields in a Lorentzian Ricci flat spacetime
Take a cylinder $\mathbb{R} \times S^1$ with coordinates $(t,u)$ and consider the metric $$g = f(u) dt^2 + 2 h(u) dt \, du + du^2.$$ The vector field $\partial_t$ is obviously a Killing vector for ...
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