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Friedmann equations

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Summary

The reduced Einstein equations governing the scale factor of an FLRW universe from its energy density, pressure, spatial curvature, and cosmological constant.

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Incoming relations (arrows to this concept)

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FLRW spacetimeFriedmann equations

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Substituting the homogeneous and isotropic FLRW metric and perfect-fluid stress–energy into Einstein’s equation yields the Friedmann equations.

How to interpret this relation type

Record a genuine theorem implication that is not part of the target definition; these edges may point toward a weaker structure.

Relation sources

Stress–energy tensorFriedmann equations

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

For an FLRW geometry, the stress–energy tensor—usually modeled as a homogeneous isotropic fluid—provides the density and pressure terms in the Friedmann equations.

How to interpret this relation type

The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.

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Friedmann equationsExpanding universe

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Solutions with increasing scale factor describe cosmic expansion.

How to interpret this relation type

A theory, law, or interaction describes the behavior of the target within a stated regime. The edge detail must state important limits or qualifications.

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