Mathematics – Logic
Scientific paper
Jan 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aas...21560306m&link_type=abstract
American Astronomical Society, AAS Meeting #215, #603.06; Bulletin of the American Astronomical Society, Vol. 36, p.1126
Mathematics
Logic
Scientific paper
We compare higher order gravity models to observational constraints from magnitude-redshift Supernovae Type Ia data, distance to the last scattering surface of the Cosmic Microwave Background (CMB) radiation, and Baryon Acoustic Observations (BAO). The models are derived from curvature invariants that are more general than the Einstein-Hilbert action. Some of the models exhibit late-time self-acceleration without the need for a cosmological constant and fit some current observations. We derive models that pass stability and physical acceptability conditions. We do find models that meet all these conditions. When these conditions are imposed, the allowable parameter space for the models considered is significantly reduced. We not only include general (HOG) models but also, many different forms of the Gauss-Bonnet, f(G) modified gravity models and solve their corresponding differential equations. We use these solutions to compare the models to cosmological distances data and put constraints on these models. We study many cosmologically viable models and find that several have parameter space that fits well to the data giving these models more credence as alternatives to dark energy. Then, we compare these models to observational constraints using numerical methods and find parameter space for the models considered that fit well the data and provide comparable fits to those achieved by the LCDM concordance model. Using the successful framework developed here, we pursued investigations of other HOG models based on the Gauss-Bonnet f(G) models. We are finding that these models fit both Solar System constraints, physical acceptability conditions and cosmological constraints. These models present a serious contender to cosmic acceleration.
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