Gravity meetings

On-line bibliography about Dynamical Horizons (Compiled by Bruno Mundim, April 2005)

Maybe the best place to start learning about Dynamical Horizons is the most recent review by Ashtekar and Krishnan at Living Reviews in Relativity:

Abhay Ashtekar and Badri Krishnan, "Isolated and Dynamical Horizons and Their Applications", Living Rev. Relativity, 7, (2004), 10. [Online Article]: cited 2004-10, http://www.livingreviews.org/lrr-2004-10

Other references by the same authors that describe in detail how black holes grow in full, nonlinear general relativity and adopt as a starting point the notion of dynamical horizons:

Ashtekar A, Krishnan B, " Dynamical horizons and their properties " PHYSICAL REVIEW D 68 (10): Art. No. 104030 NOV 2003

A. Ashtekar and B. Krishnan,"Dynamical Horizons: Energy, Angular Momentum, Fluxes, and Balance Laws" Phys. Rev. Lett. 89, 261101 (2002)

I selected below some papers that have already cited these two works from Ashtekar and that could give us an initial idea of where this topic is heading on:

Hayward SA, "Energy conservation for dynamical black holes" PHYSICAL REVIEW LETTERS 93 (25): Art. No. 251101 DEC 17 2004

Hayward SA,"Energy and entropy conservation for dynamical black holes" PHYSICAL REVIEW D 70 (10): Art. No. 104027 NOV 2004

Cook GB, Pfeiffer HP, "Excision boundary conditions for black-hole initial data" PHYSICAL REVIEW D 70 (10): Art. No. 104016 NOV 2004

The following two papers are especially interesting for the numerical relativist since it seems to be the first time that the dynamical horizon framework along with the trapped surfaces, i.e., both the apparent and event horizons formed during the collapse was applied to a precise measurement of the black-hole mass and spin.

Choptuik MW, Hirschmann EW, Liebling SL, Pretorius F, "Critical collapse of a complex scalar field with angular momentum" PHYSICAL REVIEW LETTERS 93 (13): Art. No. 131101 SEP 24 2004

Baiotti L, Hawke I, Montero PJ, et al., "Three-dimensional relativistic simulations of rotating neutron-star collapse to a Kerr black hole" PHYSICAL REVIEW D 71 (2): Art. No. 024035 JAN 2005

At last, some references on Isolated Horizons were listed to support your studies on Dynamical Horizons :)

A. Ashtekar, C. Beetle, and J. Lewandowski, "Geometry of generic isolated horizons" Class. Quantum Grav. 19, 1195 (2002)
A. Ashtekar, C. Beetle, and J. Lewandowski, "Mechanics of rotating isolated horizons" Phys. Rev. D 64, 044016 (2001)
A. Ashtekar, S. Fairhurst, and B. Krishnan, "Isolated horizons: Hamiltonian evolution and the first law" Phys. Rev. D 62, 104025 (2000)
A. Ashtekar, C. Beetle, O. Dreyer, S. Fairhurst, B. Krishnan, J. Lewandowski, and J. Wisniewski, "Generic Isolated Horizons and Their Applications" Phys. Rev. Lett. 85, 3564 (2000)
A. Ashtekar and A. Corichi,"Laws governing isolated horizons: inclusion of dilaton couplings" Classical Quantum Gravity 17, 1317 (2000)
A. Ashtekar, C. Beetle, and S. Fairhurst, "Mechanics of isolated horizons" Class. Quantum Grav. 17, 253 (2000)
Ashtekar A, Corichi A and Krasnov K 1999, "Isolated horizons: the classical phase space" Preprint gr-qc/9905089
Ashtekar A, Beetle C and Fairhurst S 1999, "Isolated horizons: a generalization of black hole mechanics" Class. Quantum Grav. 16 L1-7
Lewandowski J 1999 "Space-times admitting isolated horizons" Preprint gr-qc/9907058