title: Dynamical horizons: energy, angular momentum, fluxes, and balance laws.
abstract: Dynamical horizons are considered in full, nonlinear general relativity. Expressions of fluxes of energy and angular momentum carried by gravitational waves across these horizons are obtained. Fluxes are local, the energy flux is positive, and change in the horizon area is related to these fluxes. The flux formulas also give rise to balance laws analogous to the ones obtained by Bondi and Sachs at null infinity and provide generalizations of the first and second laws of black-hole mechanics.
authors.affiliation: Center for Gravitational Physics and Geometry and Center for Gravitational Wave Physics, Department of Physics, Penn State University, University Park, Pennsylvania 16802, USA. ashtekar@gravity.psu.edu
authors.forename: Abhay
authors.initials: A
authors.lastname: Ashtekar
authors.forename: Badri
authors.initials: B
authors.lastname: Krishnan