Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-09-29
Phys.Rev. D73 (2006) 024005
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
14 pages; v2: minor comments added
Scientific paper
10.1103/PhysRevD.73.024005
The Noether charge method for defining the Hamiltonian of a diffeomorphism-invariant field theory is applied to "Einstein-aether" theory, in which gravity couples to a dynamical, timelike, unit-norm vector field. Using the method, expressions are obtained for the total energy, momentum, and angular momentum of an Einstein-aether space-time. The method is also used to discuss the mechanics of Einstein-aether black holes. The derivation of Wald, and Iyer and Wald, of the first law of black hole thermodynamics fails for this theory, because the unit vector is necessarily singular at the bifurcation surface of the Killing horizon. A general identity relating variations of energy and angular momentum to a surface integral at the horizon is obtained, but a thermodynamic interpretation, including a definitive expression for the black hole entropy, is not found.
No associations
LandOfFree
Noether charges and black hole mechanics in Einstein-aether theory 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 Noether charges and black hole mechanics in Einstein-aether theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noether charges and black hole mechanics in Einstein-aether theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-459691