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

preprint2015arXivOpen access

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 ΛΛ, however tiny. In particular, even the post-Newtonian quadrupole formula, derived by Einstein in 1918, has not been generalized to include a positive ΛΛ. 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 Λ>0Λ>0 generalization of the Bondi-Sachs framework for full, non-linear general relativity.

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