A generalization of the quadruple formula for the energy of gravitational radiation in de Sitter spacetime

Abstract

We study gravitational radiation produced by time changing matter source in de Sitter spacetime. We consider a cosmological Killing horizon instead of the conformal boundary used in the radiation theory in the Minkowski spacetime. The energy of the radiation passing through the horizon is derived. Our result takes the form of a generalized quadruple formula expressed in terms of the mass and pressure quadruple moments and is written explicitly up to the first order in $\sqrt{\Lambda }$. The zeroth order term recovers the famous Einstein's quadruple formula obtained for the perturbed Minkowski spacetime, whereas the first order term is a new correction.

13+7 pages, 1 figure

References in corpus (8)

• The $\Lambda$-BMS${}_4$ Charge Algebra
• T-Witts from the horizon
• Charges and Fluxes on (Perturbed) Non-expanding Horizons
• Non-Expanding horizons: Multipoles and the Symmetry Group
• Energy of gravitational radiation in the de Sitter universe at the scri and at a horizon
• Energy of weak gravitational waves in spacetimes with a positive cosmological constant
• Hamiltonian charges in the asymptotically de Sitter spacetimes
• On the canonical energy of weak gravitational fields with a cosmological constant $\Lambda \in \mathbb{R}$

Cited by in corpus (4)

• The partial Bondi gauge: Further enlarging the asymptotic structure of gravity
• Quadrupolar radiation in de Sitter: Displacement memory and Bondi metric
• Post-Newtonian Gravitational Waves with cosmological constant $\Lambda$ from the Einstein-Hilbert theory
• News tensor on null hypersurfaces