Gravitational Waves from Compact Sources in de Sitter Background

Abstract

The concordance model of cosmology favours a universe with a tiny positive cosmological constant. A tiniest positive constant curvature, profoundly alters the asymptotic structure, forcing a re-look at a theory of gravitational radiation. Even for compact astrophysical sources, the intuition from Minkowski background is challenged at every step. Nevertheless, at least for candidate sources such as compact binaries, it is possible to quantify influence of the cosmological constant, as small corrections to the leading order Minkowski background results. Employing suitably chosen Fermi normal coordinates in the static patch of the de Sitter background, we compute the field due to a compact source to first order in $\Lambda$. For contrast, we also present the field in the Poincare patch where the leading correction is in $\sqrt{\Lambda }$. We introduce a gauge invariant quantity, {\em deviation scalar}, containing polarization information and compute it in both charts for a comparison.

53 pages, 4 figures. Version includes minor corrections and is matched with the published version

References in corpus (4)

• Asymptotics with a positive cosmological constant: II. Linear fields on de Sitter space-time
• Asymptotics with a positive cosmological constant: III. The quadrupole formula
• Gravitational waves in a de Sitter universe
• Gravitational Wave Memory In dS${}_{4+2n}$ and 4D Cosmology

Cited by in corpus (26)

• Mass-loss of an isolated gravitating system due to energy carried away by gravitational waves with a cosmological constant
• More On Cosmological Gravitational Waves And Their Memories
• Cosmological Horizon and the Quadrupole Formula in de Sitter Background
• Quadrupolar radiation in de Sitter: Displacement memory and Bondi metric
• Energy of gravitational radiation in the de Sitter universe at the scri and at a horizon
• Behaviour of asymptotically electro-$\Lambda$ spacetimes
• Bondi mass with a cosmological constant
• Hamiltonian charges in the asymptotically de Sitter spacetimes
• Conserved charges in asymptotically de Sitter spacetimes
• On Propagation of Energy Flux in de Sitter Spacetime
• Asymptotics with a cosmological constant: The solution space
• Charges, conserved quantities and fluxes in de Sitter spacetime
• On the canonical energy of weak gravitational fields with a cosmological constant $\Lambda \in \mathbb{R}$
• Relationship between Bondi-Sachs quantities and source of gravitational radiation in asymptotically de Sitter spacetime
• Spacetime instability due to quantum gravity
• Quadrupolar power radiation by a binary system in de Sitter Background
• Gravitational wave cosmology I: high frequency approximation
• Symmetries of the asymptotically de Sitter spacetimes
• Asymptotically simple spacetimes and mass loss due to gravitational waves
• Gravitational multipole moments for asymptotically de Sitter spacetimes
• Peeling property and asymptotic symmetries with a cosmological constant
• Linearized gravity and soft graviton theorem in de Sitter spacetime
• Late time tails and nonlinear memories in asymptotically de Sitter spacetimes
• Perturbative soft graviton theorems in de Sitter spacetime
• On energy-momentum tensor for gravitational waves in $f(R)$ gravity
• de Sitter corrections to supertranslation Ward identity and soft graviton theorem