Energy of weak gravitational waves in spacetimes with a positive cosmological constant

Abstract

We derive a formula for the total canonical energy, and its flux, of weak gravitational waves on a de Sitter background.

arXiv commentessentially identical to the version to appear in PRD

References in corpus (8)

• Bondi-Sachs Formalism
• Asymptotics with a positive cosmological constant: I. Basic framework
• Asymptotics with a positive cosmological constant: II. Linear fields on de Sitter space-time
• Asymptotics with a positive cosmological constant: III. The quadrupole formula
• Radiation and Boundary Conditions in the Theory of Gravitation
• The cosmological constant and the energy of gravitational radiation
• A review of total energy-momenta in GR with a positive cosmological constant
• Bondi mass with a cosmological constant

Cited by in corpus (8)

• Quadrupolar radiation in de Sitter: Displacement memory and Bondi metric
• Hamiltonian charges in the asymptotically de Sitter spacetimes
• Charges, conserved quantities and fluxes in de Sitter spacetime
• On the canonical energy of weak gravitational fields with a cosmological constant $\Lambda \in \mathbb{R}$
• A generalization of the quadruple formula for the energy of gravitational radiation in de Sitter spacetime
• Radiative Asymptotic Symmetries of 3D Einstein-Maxwell Theory
• Symmetries of the asymptotically de Sitter spacetimes
• The Kerr-de Sitter spacetime in Bondi coordinates