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FLRW spacetime

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Summary

A homogeneous and isotropic spacetime geometry with a time-dependent scale factor and constant-curvature spatial slices.

Record metadata

Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

Cosmological principleFLRW spacetime

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

Authored explanation

Exact spatial homogeneity and isotropy lead to the FLRW family of spacetime geometries; the empirical cosmological principle is an idealization applied only on sufficiently large scales.

How to interpret this relation type

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.

Relation sources

General relativityFLRW spacetime

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

Authored explanation

FLRW geometries model homogeneous and isotropic universes in general relativity.

How to interpret this relation type

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.

Relation sources

Outgoing relations (arrows from this concept)

Each relation below starts at this concept.

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

FLRW spacetimeΛ\LambdaCDM cosmological model

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

Authored explanation

The standard cosmological model uses a perturbed FLRW spacetime as its background geometry together with specified matter, radiation, dark-matter, and cosmological-constant sectors.

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.

Relation sources