Higher-Derivative Palatini Gravity and the Accelerating Universe

Mathematics – Logic

Scientific paper

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Scientific paper

It has been suggested that higher-derivative gravity could give a classical explanation to the observed acceleration of the Universe. Others have objected, citing inconsistencies with solar-system observations. It was recently noted that when higher-derivative gravity is obtained through the Palatini variational principle, the resulting theory is no longer in conflict with solar-system observations. A controversy has started on the question of consistency with certain laboratory electron scattering experiments. In my talk I will note that any higher-derivative Palatini theory is necessarily non-metric. Specifically, if particles are assumed to move along geodesics, the mass of particles is not conserved. Although Lorentz-invariance violations may be too small to be detected in the laboratory, they may have observable effects at the cosmological scale.

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