Researchers have long sought to determine how the universe's accelerated expansion is being driven.
Calculations in a new study by researchers at the University of Edinburgh in the UK could help to explain whether dark energy - as required by Einstein's theory of general relativity - or a revised theory of gravity are responsible.
Einstein's theory, which describes gravity as distortions of space and time, included a mathematical element known as a Cosmological Constant.
Research carried out two decades ago, however, showed that this expansion is accelerating, which suggests that Einstein's Constant may still have a part to play in accounting for dark energy.
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Without dark energy, the acceleration implies a failure of Einstein's theory of gravity across the largest distances in our universe.
Scientists have discovered that the puzzle could be resolved by determining the speed of gravity in the cosmos from a study of gravitational waves - space-time ripples propagating through the universe.
If however, their speed differs from that of light, then Einstein's theory must be revised.
Such an experiment could be carried out by the Laser Interferometer Gravitational-Wave Observatory (LIGO) in the US, whose twin detectors, 2000 miles apart, directly detected gravitational waves for the first time in 2015.
Experiments at the facilities planned for this year could resolve the question in time for the 100th anniversary of Einstein's Constant.
The research was published in the journal Physics Letters B.