Carmeli's accelerating universe is spatially flat without dark matter
J.G. Hartnett

TL;DR
Carmeli's 5D brane cosmology explains the accelerating universe and its flatness without dark matter, fitting supernova data and suggesting an asymptotically flat universe driven by vacuum energy.
Contribution
This work applies Carmeli's 5D brane cosmology to demonstrate a dark matter-free explanation for cosmic acceleration and flatness, aligning with observational data.
Findings
Fits high-z supernova data without dark matter
Universe tends toward spatial flatness asymptotically
Vacuum energy influences universe's expansion
Abstract
Carmeli's 5D brane cosmology has been applied to the expanding accelerating universe and it has been found that the distance redshift relation will fit the data of the high-z supernova teams without the need for dark matter. Also the vacuum energy contribution to gravity indicates that the universe is asymptotically expanding towards a spatially flat state, where the total mass/energy density tends to unity.
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