
TL;DR
This paper proposes that the universe's accelerated expansion might be explained by a runaway solution in the combined gravitational and matter equations, offering an alternative to the cosmological constant hypothesis.
Contribution
It introduces the idea that runaway solutions in the coupled gravitational-matter system could account for cosmic acceleration without dark energy.
Findings
Runaway solutions may mimic accelerated expansion.
Alternative to cosmological constant explanation.
Potential new approach to cosmic acceleration
Abstract
It is widely believed that the large redshifts for distant supernovae are explained by the vacuum energy dominance, or, in other words, by the cosmological constant in Einstein's equations, which is responsible for the anti-gravitation effect. A tacit assumption is that particles move along a geodesic for the background metric. This is in the same spirit as the consensus regarding the uniform Galilean motion of a free electron. However, there is a runaway solution to the Lorentz--Dirac equation governing the behavior of a radiating electron, in addition to the Galilean solution. Likewise, a runaway solution to the entire system of equations, both gravitation and matter equations of motion including, may provide an alternative explanation for the accelerated expansion of the Universe, without recourse to the hypothetic cosmological constant.
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