A novel characterisation of gravitational radiation in asymptotically flat space-times

Abstract

A novel criterion to determine the presence of gravitational radiation arriving to, or departing from, null infinity of any weakly asymptotically-simple space-time with vanishing cosmological constant is given. The quantities involved are geometric, of tidal nature, with good gauge behaviour and univocally defined at null infinity. The relationship with the classical characterisation using the News tensor is analysed in detail. A new balance law at infinity is presented, which may be useful to define `radiation states'.

10 pages, acknowledgments added

References in corpus (2)

• Dynamical laws of superenergy in General Relativity
• Algebraic classification of the Weyl tensor in higher dimensions based on its "superenergy" tensor

Cited by in corpus (9)

• Gravitational radiation condition at infinity with a positive cosmological constant
• Asymptotic Structure with a positive cosmological constant
• Degrees of freedom of gravitational radiation with positive cosmological constant
• Radiation in Fluid/Gravity and the Flat Limit
• Poynting vector, super-Poynting vector, and principal observers in electromagnetism and general relativity
• Asymptotic Structure with vanishing cosmological constant
• News tensor on null hypersurfaces
• Nonperfect Carrollian Fluids Through Holography
• Characterization of gravitational radiation at infinity with a cosmological constant