Abstract

Abstract Can all binary star systems merge in infinite time by emitting gravitational waves? The answer is no. The orbital radius shrinks from the gravitational wave emission; simultaneously, the universe is expanding if the Hubble–Lemaitre law is universal on all distance scales. Inside the gravitational bound state, the cosmic expansion becomes visible near the critical radius given by the equilibrium between the orbital decay and expansion. The equilibrium condition gives a different deceleration parameter ( q = − 3 ) from the cosmological observations ( q 0 ≈ − 1 ∕ 2 ), which indicates binary systems could have a smaller expansion rate ( H 0 ∕ 6 ). This model can explain a deviation from general relativity (the excess P b ) in the binary pulsar PSR B1534+12. It is also supported by PSR B1913+16. This means that the expansion of the universe is characterized by viscous uniformity, which has a constant of a ∕ a . By applying this relation to PSR B1534+12, H 0 = 66 ± 37 km s − 1 Mpc − 1 is obtained.

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