Gravitational radiation from dynamical black holes

Abstract

An effective energy tensor for gravitational radiation is identified for uniformly expanding flows of the Hawking mass-energy. It appears in an energy conservation law expressing the change in mass due to the energy densities of matter and gravitational radiation, with respect to a Killing-like vector encoding a preferred flow of time outside a black hole. In a spin-coefficient formulation, the components of the effective energy tensor can be understood as the energy densities of ingoing and outgoing, transverse and longitudinal gravitational radiation. By anchoring the flow to the trapping horizon of a black hole in a given sequence of spatial hypersurfaces, there is a locally unique flow and a measure of gravitational radiation in the strong-field regime.

5 revtex4 pages. Additional comments

References in corpus (1)

• Energy and entropy conservation for dynamical black holes

Cited by in corpus (11)

• Observer dependent entanglement
• Isolated, slowly evolving, and dynamical trapping horizons: geometry and mechanics from surface deformations
• Black Hole Formation from Collapsing Dust Fluid in a Background of Dark Energy
• Angular momentum conservation for dynamical black holes
• Generalized inverse mean curvature flows in spacetime
• Horizon dynamics of distorted rotating black holes
• Symmetric non-expanding horizons
• Involute, minimal, outer and increasingly trapped surfaces
• Angular momentum conservation for uniformly expanding flows
• Energy of gravitational radiation in plane-symmetric space-times
• Cosmologically inspired Kastor-Traschen solution