Covariant symplectic structure and conserved charges of new massive gravity

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2012-03-30

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Alkaç, Gökhan
Devecioglu, Deniz Olgu

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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 Poincare 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.

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https://hdl.handle.net/11511/51594

Journal

PHYSICAL REVIEW D

DOI

https://doi.org/10.1103/physrevd.85.064048

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Graduate School of Natural and Applied Sciences, Article

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Citation Formats

G. Alkaç and D. O. Devecioglu, “Covariant symplectic structure and conserved charges of new massive gravity,” PHYSICAL REVIEW D, pp. 0–0, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51594.