Palatini Actions and Quantum Gravity Phenomenology

Abstract

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.

16 pages, 1 figure. Enlarged version with examples that explicitly show how the "soccer ball problem" is solved in this scenario. References added and several small changes here and there to match with the published version

References in corpus (14)

• Quantum Nature of the Big Bang: Improved dynamics
• Quantum Nature of the Big Bang
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Metric-affine f(R) theories of gravity
• Prospects for constraining quantum gravity dispersion with near term observations
• Isotropic and Anisotropic Bouncing Cosmologies in Palatini Gravity
• Dynamical Aspects of Generalized Palatini Theories of Gravity
• Multi-Particle States in Deformed Special Relativity
• The dynamics of generalized Palatini Theories of Gravity
• Further Extended Theories of Gravitation: Part I
• Further Extended Theories of Gravitation: Part II
• Matter Lagrangians Coupled with Connections
• Extended Loop Quantum Gravity
• New Cases of Universality Theorem for Gravitational Theories

Cited by in corpus (21)

• Minimal Length Scale Scenarios for Quantum Gravity
• Wormholes supported by hybrid metric-Palatini gravity
• Cosmology of hybrid metric-Palatini f(X)-gravity
• Nonsingular Black Holes in $f(R)$ Theories
• Reissner-Nordström black holes in extended Palatini theories
• Ghosts in pure and hybrid formalisms of gravity theories: a unified analysis
• Brane-world and loop cosmology from a gravity-matter coupling perspective
• Nonsingular black holes in quadratic Palatini gravity
• Importance of torsion and invariant volumes in Palatini theories of gravity
• Cosmic acceleration from modified gravity with Palatini formalism
• The Soccer-Ball Problem
• $f(R)$-Modified Gravity, Wald Entropy, and the Generalized Uncertainty Principle
• Geometric Proca with Matter in Metric-Palatini Gravity
• Rainbow-like Black Hole metric from Loop Quantum Gravity
• Stellar Structure Equations in Extended Palatini Gravity
• Quantum Configuration and Phase Spaces: Finsler and Hamilton Geometries
• Cosmological constraints of Palatini $f(\mathcal{R})$ gravity
• A generalized Weyl structure with arbitrary non-metricity
• Black hole formation from a null fluid in extended Palatini gravity
• Conformal transformation route to gravity's rainbow
• Palatini approach to bouncing cosmologies and DSR-like effects