News tensor on null hypersurfaces
arXiv:2407.14909 · doi:10.1088/1361-6382/adf1d1
Abstract
A geometric definition of news tensor on null hypersurfaces in four space-time dimensions is presented. When the conformal Einstein field equations hold, this news tensor yields the correct expression for the radiative components of the rescaled Weyl tensor at infinity with vanishing cosmological constant in arbitrary conformal gauge. Also, a generalised transport equation for the Geroch tensor is derived. Important differences between null hypersurfaces in the bulk of the space-time and null infinity with vanishing cosmological constant are reviewed, and their impact on the role of the news is discussed.
arXiv comment25 pages
References in corpus (21)
- Isolated and dynamical horizons and their applications
- Soft Hair on Black Holes
- Superrotation Charge and Supertranslation Hair on Black Holes
- Black hole boundaries
- Geometry of General Hypersurfaces in Spacetime: Junction Conditions
- Bondi-Sachs Formalism
- Symmetries and charges of general relativity at null boundaries
- Asymptotics with a positive cosmological constant: I. Basic framework
- Null boundary phase space: slicings, news and memory
- Charges and Fluxes on (Perturbed) Non-expanding Horizons
- Gravitational radiation condition at infinity with a positive cosmological constant
- Asymptotic Structure with a positive cosmological constant
- A review of total energy-momenta in GR with a positive cosmological constant
- Renormalization of conformal infinity as a stretched horizon
- Null Infinity as a Weakly Isolated Horizon
- Horizons and Null Infinity: A Fugue in 4 voices
- Null Infinity and Horizons: A New Approach to Fluxes and Charges
- A novel characterisation of gravitational radiation in asymptotically flat space-times
- A generalization of the quadruple formula for the energy of gravitational radiation in de Sitter spacetime
- Degrees of freedom of gravitational radiation with positive cosmological constant
- Supertranslations: redundancies of horizon data, and global symmetries at null infinity