Asymptotically Weyl-Invariant Gravity

Abstract

We propose a novel theory of gravity that by construction is renormalizable, evades Ostragadsky's no-go theorem, is locally scale-invariant in the high-energy limit, and equivalent to general relativity in the low-energy limit. The theory is defined by a pure f(R) = R^n action in the Palatini formalism, where the dimensionless exponent n runs from a value of two in the high-energy limit to one in the low-energy limit. We show that the proposed model contains no obvious cosmological curvature singularities. The viability of the proposed model is qualitatively assessed using several key criteria.

arXiv comment14 pages, 0 figures. Comments welcome

References in corpus (42)

• The Large N Limit of Superconformal Field Theories and Supergravity
• f(R) Theories Of Gravity
• The Confrontation between General Relativity and Experiment
• The Dynamics of General Relativity
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Background Independent Quantum Gravity: A Status Report
• Can modified gravity explain accelerated cosmic expansion?
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Self-Interaction and Gauge Invariance
• Are f(R) dark energy models cosmologically viable ?
• Avoiding Dark Energy with 1/R Modifications of Gravity
• Primordial Nucleosynthesis: Theory and Observations
• On Physical Equivalence between Nonlinear Gravity Theories
• The Power of General Relativity
• Making the Case for Conformal Gravity
• Palatini form of 1/R gravity
• Constraints on Lorentz Invariance Violation from Fermi-Large Area Telescope Observations of Gamma-Ray Bursts
• Is Quantum Einstein Gravity Nonperturbatively Renormalizable?
• Local Conformal Symmetry in Physics and Cosmology
• f(R) gravity theories in Palatini formalism: cosmological dynamics and observational constraints
• Accelerated Cosmological Models in First-Order Non-Linear Gravity
• Dimension and Dimensional Reduction in Quantum Gravity
• Covariant Effective Action for Loop Quantum Cosmology a la Palatini
• Black hole thermodynamics under the microscope
• Universality of Einstein Equations for the Ricci Squared Lagrangians
• Curvature scalar instability in f(R) gravity
• Spectral dimension as a probe of the ultraviolet continuum regime of causal dynamical triangulations
• A Minimal Length from the Cutoff Modes in Asymptotically Safe Quantum Gravity
• ${\mathcal{R}}^2$ inflation from scale invariant supergravity and anomaly free superstrings with fluxes
• Palatini formulation of pure $R^2$ gravity yields Einstein gravity with no massless scalar
• Dimensional reduction in the sky
• Towards conditions for black-hole singularity-resolution in asymptotically safe quantum gravity
• Reconstructing the inflationary $f(R)$ from observations
• Scale-dependent metric and causal structures in Quantum Einstein Gravity
• Weyl vs. Conformal
• Higher-order theories of gravity: diagnosis, extraction and reformulation via non-metric extra degrees of freedom
• Weyl versus Conformal Invariance in Quantum Field Theory
• Scale-invariant gauge theories of gravity: theoretical foundations
• Quantum gravity without vacuum dispersion
• Hypothesis on the Nature of Time
• Reconstructing $f(R)$ gravity from the spectral index
• Renormalizing Spacetime

Cited by in corpus (6)

• New class of hybrid metric-Palatini scalar-tensor theories of gravity
• Effective interactions in Ricci-Based Gravity models below the non-metricity scale
• Invariant quantities of Scalar-Tensor Theories for stellar structure
• Cosmological constraints of Palatini $f(\mathcal{R})$ gravity
• Is Asymptotically Weyl-Invariant Gravity Viable?
• A Falsifiable Alternative to General Relativity