Relationship between Bondi-Sachs quantities and source of gravitational radiation in asymptotically de Sitter spacetime

Abstract

Gravitational radiation plays an important role in astrophysics. Based on the fact that our universe is expanding, the gravitational radiation when a positive cosmological constant is presented has been studied along with two different ways recently, one is the Bondi-Sachs (BS) framework in which the result is shown by BS quantities in the asymptotic null structure, the other is the perturbation approach in which the result is presented by the quadrupoles of source. Therefore, it is worth to interpret the quantities in asymptotic null structure in terms of the information of the source. In this paper, we investigate this problem and find the explicit expressions of BS quantities in terms of the quadrupoles of source in asymptotically de Sitter spacetime. We also estimate how far away the source is, the cosmological constant may affect the detection of the gravitational wave.

arXiv comment11 pages

References in corpus (17)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Observation of Gravitational Waves from a Binary Black Hole Merger
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Planck 2013 results. XVI. Cosmological parameters
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• Cosmological Constant - the Weight of the Vacuum
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• The basics of gravitational wave theory
• Asymptotics with a positive cosmological constant: I. Basic framework
• Asymptotics with a positive cosmological constant: II. Linear fields on de Sitter space-time
• Gravitational waves from isolated systems: Surprising consequences of a positive cosmological constant
• Generation of gravitational waves by generic sources in de Sitter space-time
• Gravitational Waves from Compact Sources in de Sitter Background
• Gravitational waves in a de Sitter universe
• Mass-loss of an isolated gravitating system due to energy carried away by gravitational waves with a cosmological constant

Cited by in corpus (6)

• The $\Lambda$-BMS${}_4$ group of dS${}_4$ and new boundary conditions for AdS${}_4$
• The partial Bondi gauge: Further enlarging the asymptotic structure of gravity
• (A)dS${}_4$ in Bondi gauge
• Quadrupolar radiation in de Sitter: Displacement memory and Bondi metric
• Asymptotics with a cosmological constant: The solution space
• Analysis of gravitational radiation generated by type D black holes with positive cosmological constant