Gravitational waves from isolated systems: Surprising consequences of a positive cosmological constant

Abstract

There is a deep tension between the well-developed theory of gravitational waves from isolated systems and the presence of a positive cosmological constant $\Lambda$, however tiny. In particular, even the post-Newtonian quadrupole formula, derived by Einstein in 1918, has not been generalized to include a positive $\Lambda$. We first explain the principal difficulties and then show that it is possible to overcome them in the weak field limit. These results also provide concrete hints for constructing the $\Lambda >0$ generalization of the Bondi-Sachs framework for full, non-linear general relativity.

5 pages, 1 Figure. Small revision in the Introduction on page 1 and Summary/Outlook on page 4 revised; some references added. To appear in PRL

References in corpus (2)

• Asymptotics with a positive cosmological constant: II. Linear fields on de Sitter space-time
• Asymptotics with a positive cosmological constant: III. The quadrupole formula

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