Palatini Actions and Quantum Gravity Phenomenology

Details Palatini Actions and Quantum Gravity Phenomenology Palatini Actions and Quantum Gravity Phenomenology

2011-01-14

arxiv.org/abs/1101.2841v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 1 figure. Enlarged version with examples that explicitly show how the "soccer ball problem" is solved in this scenar

Scientific paper

We show that an invariant an universal length scale can be consistently introduced in a generally covariant theory through the gravitational sector using the Palatini approach. The resulting theory is able to capture different aspects of quantum gravity phenomenology in a single framework. In particular, it is found that in this theory field excitations propagating with different energy-densities perceive different background metrics, which is a fundamental characteristic of the DSR and Rainbow Gravity approaches. We illustrate these properties with a particular gravitational model and explicitly show how the {\it soccer ball problem} is avoided in this framework. The isotropic and anisotropic cosmologies of this model also avoid the big bang singularity by means of a big bounce.

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