TL;DR
This paper introduces the concept of dynamical horizons in full general relativity, providing flux formulas for energy and angular momentum transfer via gravitational waves, and generalizes black hole mechanics laws.
Contribution
It presents a new framework of dynamical horizons with flux expressions, extending black hole mechanics to non-stationary, dynamical situations in full general relativity.
Findings
Fluxes of energy and angular momentum are local and positive.
Change in horizon area relates to gravitational wave fluxes.
Balance laws generalize classical black hole mechanics laws.
Abstract
A summary of how black holes grow in full, non-linear general relativity is presented. Specifically, a notion of "dynamical horizons" is introduced and expressions of fluxes of energy and angular momentum carried by gravitational waves across these horizons are obtained. Fluxes are local and the energy flux is positive. Change in the horizon area is related to these fluxes. The flux formulae 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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.