Why is the metric invertible?

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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3 pages

Scientific paper

10.1088/0264-9381/23/13/N01

We raise, and provide an (unsatisfactory) answer to, the title's question:
why, unlike all other fields, does the gravitational "metric" variable not have
zero vacuum? After formulating, without begging it, we exhibit additions to the
conventional action that express existence of the inverse through a field
equation.

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