Palatini variation of curvature-squared action and gravitational collapse.

Details Palatini variation of curvature-squared action and gravitational collapse. Palatini variation of curvature-squared action and gravitational collapse.

Mar 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991jmp....32..694s&link_type=abstract

Journal of Mathematical Physics, Vol. 32, No. 3, p. 694 - 697

Mathematics

Mathematical Physics

9

Scientific paper

It is shown that Palatini variation of a class of gravitational actions based on a quadratic generalization of the Einstein-Hilbert action results in a metric-incompatible theory of gravity but one that satisfies Birkhoff's theorem. The usual fourth-order field equations are replaced by two second-order equations. Application of the field equations to a model of freely falling dust are discussed.

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