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This work aims to re-examine foundational elements of cosmology through spacetime symmetries.

March 19, 2026Fortschritte der PhysikOpen Access

A Re‐Examination of Foundational Elements of Cosmology

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This work aims to re-examine foundational elements of cosmology through spacetime symmetries.
Derivation of the Friedmann–Lemaître–Robertson–Walker metric using rotational and translational Killing equations.
Analysis of inheritance of continuous symmetries by the Einstein tensor and Hilbert energy–momentum tensor.
Exploration of the Maxwell and Kalb–Ramond fields to assess energy–momentum configurations.
Derivation of scalar–vector–tensor decomposition from linearized Einstein equations.
New metric derivation without additional assumptions.
Proven general propositions regarding symmetries in Einstein and Hilbert tensors.
Kalb–Ramond field is demonstrated to be more comprehensive than typical cosmological applications.
Accessible derivation of scalar–vector–tensor decomposition presented.

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Conceptual analysis revisits cosmological foundations, revealing new insights into spacetime symmetries.

Lavinia Heisenberg (2026) studied this question.

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