Conserved current for the Cotton tensor, black hole entropy and equivariant Pontryagin forms

Details Conserved current for the Cotton tensor, black hole entropy and equivariant Pontryagin forms Conserved current for the Cotton tensor, black hole entropy and equivariant Pontryagin forms

2010-04-19

arxiv.org/abs/1004.3161v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages

Scientific paper

The Chern-Simons lagrangian density in the space of metrics of a 3-dimensional manifold M is not invariant under the action of diffeomorphisms on M. However, its Euler-Lagrange operator can be identified with the Cotton tensor, which is invariant under diffeomorphims. As the lagrangian is not invariant, Noether Theorem cannot be applied to obtain conserved currents. We show that it is possible to obtain an equivariant conserved current for the Cotton tensor by using the first equivariant Pontryagin form on the bundle of metrics. Finally we define a hamiltonian current which gives the contribution of the Chern-Simons term to the black hole entropy, energy and angular momentum.

Affiliated with

Also associated with

No associations

Rating

Conserved current for the Cotton tensor, black hole entropy and equivariant Pontryagin forms 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 Conserved current for the Cotton tensor, black hole entropy and equivariant Pontryagin forms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conserved current for the Cotton tensor, black hole entropy and equivariant Pontryagin forms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-59627