Covariant Symplectic Structure and Conserved Charges of New Massive Gravity

Details Covariant Symplectic Structure and Conserved Charges of New Massive Gravity Covariant Symplectic Structure and Conserved Charges of New Massive Gravity

2012-02-09

arxiv.org/abs/1202.1905v2

Phys.RevD.85:064048,2012

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, No figures, RevTEX4.1; ver 2: minor corrections, version accepted for publication in Physical Review D

Scientific paper

10.1103/PhysRevD.85.064048

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 2-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 (ADT) charge for spacetimes with non-constant curvature backgrounds, by using the diffeomorphism invariance of the symplectic 2-form. As an example, we calculate the conserved charges of some solutions of New Massive Gravity (NMG) and compare the results with the previous works.

Affiliated with

Also associated with

No associations

Rating

Covariant Symplectic Structure and Conserved Charges of New Massive Gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Covariant Symplectic Structure and Conserved Charges of New Massive Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Covariant Symplectic Structure and Conserved Charges of New Massive Gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-156471