Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-05-18
Phys. Rev. D 85, 024015 (2012)
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
19 pages, 2 figures, significant additions clarifying sections 3, 5, and 6
Scientific paper
10.1103/PhysRevD.85.024015
The anomalous conformal transformation law of the generalized entropy is found for dilaton gravity coupled to a 1+1 conformal matter sector with central charges c = ~c. (When c != ~c the generalized entropy is not invariant under local Lorentz boosts.) It is shown that a certain second null derivative of the entropy, S"_gen + (6/c)(S'_out)^2, is primary, and therefore retains its sign under a general conformal transformation. Consequently all conformal vacua have increasing entropy on causal horizons. Alternative definitions of the horizon, including apparent or dynamical horizons, can have decreasing entropy in any dimension D >= 2. This indicates that the generalized second law should be defined using the causal horizon.
No associations
LandOfFree
Testing the Generalized Second Law in 1+1 dimensional Conformal Vacua: An Argument for the Causal Horizon 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 Testing the Generalized Second Law in 1+1 dimensional Conformal Vacua: An Argument for the Causal Horizon, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Testing the Generalized Second Law in 1+1 dimensional Conformal Vacua: An Argument for the Causal Horizon will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-53290