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Einstein’s classical theory of gravitation, in which gravity is represented by dynamical Lorentzian spacetime geometry.
Matter and non-gravitational fields source curvature; freely falling bodies follow the geometry rather than experiencing gravity as an ordinary force.
It is classical and is not a complete quantum theory of gravity.
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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 equivalence principle motivates and constrains the geometric description of gravitation.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
wp-physics-equivalence_principleeinstein-general-relativitywp-physics-general_relativitynlab-physics-general_relativityThis is an authored directed relation from the source endpoint to the target endpoint.
General relativity treats a Lorentzian metric and related geometric fields as dynamical variables constrained by Einstein’s equations.
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.
einstein-general-relativityeinstein-equationwp-physics-general_relativitynlab-physics-general_relativitywp-lorentzianThis is an authored directed relation from the source endpoint to the target endpoint.
Einstein used the residual Mercury precession as a decisive target while developing general relativity and reproduced it in 1915.
The source experiment, observation, anomaly, or problem materially motivated the development, revision, or acceptance of the target concept. Historical influence is not logical derivation; the edge detail states the documented role and avoids retrospective origin myths.
wp-physics-mercury_perihelion_anomalyeinstein-online-classical-testsThis is an authored directed relation from the source endpoint to the target endpoint.
General relativity is the classical geometric theory of gravitation.
A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.
einstein-general-relativitywp-physics-general_relativitynlab-physics-general_relativitywp-physics-physical_theorynlab-physics-physical_theoryThis is an authored directed relation from the source endpoint to the target endpoint.
General relativity formulates gravitation using the curvature of a Lorentzian metric.
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-riemann_curvature_tensornlab-riemann_curvature_tensortong-grwp-physics-general_relativitynlab-physics-general_relativityeinstein-general-relativityThis is an authored directed relation from the source endpoint to the target endpoint.
General relativity treats spacetime geometry as a dynamical component coupled to matter and non-gravitational fields.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
einstein-general-relativityeinstein-equationwp-physics-general_relativitynlab-physics-general_relativitywp-physics-spacetimeThis is an authored directed relation from the source endpoint to the target endpoint.
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.
wp-physics-general_relativitynlab-physics-general_relativitywp-physics-spacetime_metriceinstein-general-relativityThis is an authored directed relation from the source endpoint to the target endpoint.
General relativity uses tensor fields on a smooth 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-general_relativitynlab-physics-general_relativitywp-tensor_fieldnlab-tensor_fieldEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
The measured deflection was interpreted as supporting the relativistic prediction; later experiments provide much higher precision.
The source theory, law, entity, prediction, or structural claim is directly tested, supported, constrained, or established by the target experiment or observation. Experimental support is not final logical proof; the edge detail states exactly what was measured.
wp-physics-eddington_eclipse_observationseinstein-online-classical-testsThis is an authored directed relation from the source endpoint to the target endpoint.
FLRW geometries model homogeneous and isotropic universes in general relativity.
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-general-relativitynasa-big-bangThis is an authored directed relation from the source endpoint to the target endpoint.
In the test-body approximation, freely falling bodies follow geodesics of the spacetime metric.
A theory, law, or interaction describes the behavior of the target within a stated regime. The edge detail must state important limits or qualifications.
wp-physics-geodesic_motioneinstein-general-relativitywp-physics-general_relativitynlab-physics-general_relativityThis is an authored directed relation from the source endpoint to the target endpoint.
General relativity describes gravitation as spacetime curvature.
A theory, law, or interaction describes the behavior of the target within a stated regime. The edge detail must state important limits or qualifications.
einstein-general-relativitywp-physics-gravitationwp-physics-general_relativitynlab-physics-general_relativityThis is an authored directed relation from the source endpoint to the target endpoint.
Einstein’s equation governs the dynamical geometry and matter involved in relativistic collapse.
A theory, law, or interaction describes the behavior of the target within a stated regime. The edge detail must state important limits or qualifications.
einstein-general-relativitynasa-black-holesThis is an authored directed relation from the source endpoint to the target endpoint.
General relativity determines lensing from the spacetime metric and matter distribution; practical calculations may use weak-field, thin-lens, geometric-optics, or numerical approximations.
A theory, law, or interaction describes the behavior of the target within a stated regime. The edge detail must state important limits or qualifications.
einstein-general-relativitytong-grThis is an authored directed relation from the source endpoint to the target endpoint.
Einstein’s equations admit propagating gravitational radiation; weak-field wave equations describe distant radiation, while compact-binary generation and merger require nonlinear general relativity.
A theory, law, or interaction describes the behavior of the target within a stated regime. The edge detail must state important limits or qualifications.
wp-physics-gravitational-wavenlab-gravitational-waveligo-gravitational-wave-sciencetong-grThis is an authored directed relation from the source endpoint to the target endpoint.
The signal’s inspiral, merger, and ringdown were consistent with numerical general-relativistic predictions.
The source theory, law, entity, prediction, or structural claim is directly tested, supported, constrained, or established by the target experiment or observation. Experimental support is not final logical proof; the edge detail states exactly what was measured.
wp-physics-gw150914_detectionligo-gw150914This is an authored directed relation from the source endpoint to the target endpoint.
The observed orbital-period decrease agrees with general-relativistic gravitational-wave energy loss.
The source theory, law, entity, prediction, or structural claim is directly tested, supported, constrained, or established by the target experiment or observation. Experimental support is not final logical proof; the edge detail states exactly what was measured.
wp-physics-hulse_taylor_binary_pulsarnobel-hulse-taylorThis is an authored directed relation from the source endpoint to the target endpoint.
CDM applies general relativity to an FLRW background with a cosmological constant, cold dark matter, ordinary matter, radiation, and specified primordial perturbations.
A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.
einstein-general-relativitynasa-big-bangnasa-dark-matterThis is an authored directed relation from the source endpoint to the target endpoint.
Newtonian gravitation is recovered for weak stationary fields, slow motion, and negligible pressure relative to energy density.
The target is recovered from the source either in a stated mathematical or asymptotic limit, or through a quantitatively controlled approximation with identified small parameters or omitted terms. The edge label and detail must state which case applies and its regime of validity.
wp-physics-newtonian_gravitationeinstein-general-relativitywp-physics-general_relativitynlab-physics-general_relativityThis is an authored directed relation from the source endpoint to the target endpoint.
The measured gamma-ray shift agreed with the weak-field gravitational-redshift prediction.
The source theory, law, entity, prediction, or structural claim is directly tested, supported, constrained, or established by the target experiment or observation. Experimental support is not final logical proof; the edge detail states exactly what was measured.
wp-physics-pound_rebka_experimentaps-pound-rebkaThis is an authored directed relation from the source endpoint to the target endpoint.
Radar ranging measured the additional delay predicted for propagation through curved spacetime near the Sun.
The source theory, law, entity, prediction, or structural claim is directly tested, supported, constrained, or established by the target experiment or observation. Experimental support is not final logical proof; the edge detail states exactly what was measured.
wp-physics-shapiro_time_delay_measurementaps-shapiro-delayeinstein-online-postnewtonThis is an authored directed relation from the source endpoint to the target endpoint.
Linearized gravity expands for small .
The target is recovered from the source either in a stated mathematical or asymptotic limit, or through a quantitatively controlled approximation with identified small parameters or omitted terms. The edge label and detail must state which case applies and its regime of validity.
wp-physics-weak_field_gravitytong-grwp-physics-general_relativitynlab-physics-general_relativity