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Published July 7, 2006 | Published + Submitted
Journal Article Open

Note: why is the metric invertible?

Deser, S. ORCID icon

Abstract

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 the question, but without begging it, we exhibit additions to the conventional action that express the existence of the inverse through a field equation.

Additional Information

© 2006 Institute of Physics and IOP Publishing Limited. Received 30 March 2006, in final form 5 May 2006. Published 12 June 2006. Print publication: Issue 13 (7 July 2006). I thank R Jackiw and A Schwimmer for very patient discussions. This work was supported in part by NSF grant PHY04-01667.

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Published - DEScqg06.pdf

Submitted - 0603125.pdf

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Created:
August 22, 2023
Modified:
October 16, 2023