Covariant symplectic structure and conserved charges of new massive gravity

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2012

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Alkaç, Gökhan

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We show that the symplectic current obtained from the boundary term, which arises in the first variation of a local diffeomorphism invariant action, is covariantly conserved for any gravity theory described by that action.Therefore, a Poincaré invariant two-form can be constructed on the phase space, which is shown to be closed without reference to a specific theory.Finally, we show that one can obtain a charge expression for gravity theories in various dimensions, which plays the role of the Abbott-Deser-Tekin charge for spacetimes with nonconstant curvature backgrounds, by using the diffeomorphism invariance of the symplectic two-form. As an example, we calculate the conserved charges of some solutions of new massive gravity and compare the results with previous works.

Subject Keywords

Gravity., Conservation laws (Physics).

URI

http://etd.lib.metu.edu.tr/upload/12614633/index.pdf
https://hdl.handle.net/11511/21848

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

G. Alkaç, “Covariant symplectic structure and conserved charges of new massive gravity,” M.S. - Master of Science, Middle East Technical University, 2012.