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Constrained dynamics of universally coupled massive spin 2-spin 0 gravities

J Brian Pitts

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The 2-parameter family of massive variants of Einsteins gravity (on a Minkowski background) found by Ogievetsky and Polubarinov by excluding lower spins can also be derived using universal coupling. A Dirac-Bergmann constrained dynamics analysis seems not to have been presented for these theories, the Freund-Maheshwari-Schonberg special case, or any other massive gravity beyond the linear level treated by Marzban, Whiting and van Dam. Here the Dirac-Bergmann apparatus is applied to these theories. A few remarks are made on the question of positive energy. Being bimetric, massive gravities have a causality puzzle, but it appears soluble by the introduction and judicious use of gauge freedom.


PACS

04.20.Gz Spacetime topology, causal structure, spinor structure

04.20.Fy Canonical formalism, Lagrangians, and variational principles

04.25.-g Approximation methods; equations of motion

Subjects

Gravitation and cosmology

Dates

Issue 1 (2006)



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