Conformal Einstein equations and Cartan conformal connection
Carlos Kozameh, Ezra T Newman, Pawel Nurowski
TL;DR
This paper explores the conditions under which a space-time can be conformally related to an Einstein space-time using curvature restrictions on the Cartan conformal connection.
Contribution
It provides a new interpretation of conformal Einstein conditions through curvature restrictions on the Cartan conformal connection.
Findings
Derived necessary and sufficient conditions for conformal Einstein spaces.
Connected curvature restrictions to the Cartan conformal connection.
Enhanced understanding of conformal geometry in general relativity.
Abstract
Necessary and sufficient conditions for a space-time to be conformal to an Einstein space-time are interpreted in terms of curvature restrictions for the corresponding Cartan conformal connection.
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