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The Lorentzian metric that determines intervals, causal structure, geodesics, and in general relativity the gravitational geometry.
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This is an authored directed relation from the source endpoint to the target endpoint.
A spacetime metric is mathematically a Lorentzian metric on a manifold.
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
wp-physics-spacetime_metriceinstein-general-relativitywp-lorentzianlee-smooth-manifoldsEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Einstein’s equation relates curvature of the metric to stress–energy.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
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General relativity treats the spacetime metric as a dynamical gravitational field.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
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A Lorentzian metric determines the null cone at every spacetime point.
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
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