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Phys. Rev. D 73, 103511 (2006) [7 pages]

Evolving Newton's constant, extended gravity theories, and SnIa data analysis

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S. Nesseris and L. Perivolaropoulos
Department of Physics, University of Ioannina, Greece

Received 3 February 2006; published 19 May 2006

IfNewton's constant G evolves on cosmological timescales as predicted byextended gravity theories then Type Ia supernovae (SnIa) cannot be treatedas standard candles. The magnitude-redshift datasets however can still beuseful. They can be used to simultaneously fit for bothH(z) and G(z) (so that local G(z) constraints are alsosatisfied) in the context of appropriate parametrizations. Here we demonstratehow this analysis can be done by applying it tothe Gold SnIa dataset. We compare the derived effective equationof state parameter w(z) at best fit with the correspondingresult obtained by neglecting the evolution G(z). We show thateven though the results clearly differ from each other, inboth cases the best fit w(z) crosses the phantom dividew=-1. We then attempt to reconstruct a scalar-tensor theory thatpredicts the derived best fit forms of H(z) and G(z).Since the best fit G(z) fixes the scalar-tensor potential evolutionF(z), there is no ambiguity in the reconstruction and thepotential U(z) can be derived uniquely. The particular reconstructed scalar-tensortheory, however, involves a change of sign of the kineticterm Phi^[prime](z)² as in the minimally coupled case.

©2006 The American Physical Society

URL:	http://link.aps.org/doi/10.1103/PhysRevD.73.103511
DOI:	10.1103/PhysRevD.73.103511
PACS:	98.80.Es; 98.62.Sb; 98.65.Dx 98.80.Es Observational cosmology including Hubble constant, distance scale, cosmological constant, early Universe, etc 98.62.Sb Gravitational lenses and luminous arcs 98.65.Dx Superclusters; large-scale structure of the Universe (including voids, pancakes, great wall, etc.) YEAR: 2006
KEYWORDS:	gravitation, cosmology, supernovae, red shift, gravitational constant

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