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The field equation relating spacetime curvature to the stress–energy content of matter and non-gravitational fields.
The geometric tensor , optionally with a cosmological term, is proportional to the stress–energy tensor .
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This is an authored directed relation from the source endpoint to the target endpoint.
The Einstein tensor, plus the cosmological term when included, forms the geometric side of Einstein’s equation.
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-einstein_tensornlab-einstein_tensortong-greinstein-equationwp-physics-einstein_field_equationnlab-physics-einstein_field_equationThis 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.
wp-physics-einstein_field_equationnlab-physics-einstein_field_equationwp-physics-spacetime_metriceinstein-general-relativityThis is an authored directed relation from the source endpoint to the target endpoint.
The stress–energy tensor appears on the matter side of Einstein’s equation.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
wp-physics-einstein_field_equationnlab-physics-einstein_field_equationwp-physics-stress_energy_tensornlab-physics-stress_energy_tensorEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Einstein’s field equation supplies the central metric dynamics of general relativity.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
wp-physics-einstein_field_equationwp-physics-general_relativityThis is an authored directed relation from the source endpoint to the target endpoint.
The Kerr geometry is a rotating vacuum solution of the Einstein equation.
The target is a model, idealization, restricted ansatz, approximation scheme, phenomenological fit, or historical representation used for the source system or theory. It need not have a universal small error parameter and is not thereby a controlled limit or effective theory. The edge label and detail must identify the precise status.
einstein-equationeinstein-online-black-holesThis is an authored directed relation from the source endpoint to the target endpoint.
The Schwarzschild geometry solves the vacuum Einstein equation under spherical symmetry.
The target is a model, idealization, restricted ansatz, approximation scheme, phenomenological fit, or historical representation used for the source system or theory. It need not have a universal small error parameter and is not thereby a controlled limit or effective theory. The edge label and detail must identify the precise status.
einstein-equationeinstein-online-black-holes