Fourth order deformed general relativity

Abstract

Whenever the condition of anomaly freedom is imposed within the framework of effective approaches to loop quantum cosmology, one seems to conclude that a deformation of general covariance is required. Here, starting from a general deformation we regain an effective gravitational Lagrangian including terms up to fourth order in extrinsic curvature. We subsequently constrain the form of the corrections, and then investigate the conditions for the occurrence of a big bounce and the realisation of an inflationary era, in the presence of a perfect fluid or scalar field.

fixed formatting, updated author name, 28 pages, 2 figures

References in corpus (9)

• Quantum Nature of the Big Bang: Improved dynamics
• Loop quantum gravity corrections to gravitational wave dispersion
• Multi-Particle States in Deformed Special Relativity
• Quantum Cosmology: Effective Theory
• Lattice Refining Loop Quantum Cosmology and Inflation
• Inhomogeneities, loop quantum gravity corrections, constraint algebra and general covariance
• Discreteness corrections and higher spatial derivatives in effective canonical quantum gravity
• Lattice Refining LQC and the Matter Hamiltonian
• The radiation equation of state and loop quantum gravity corrections

Cited by in corpus (6)

• Critical evaluation of common claims in loop quantum cosmology
• Some implications of signature-change in cosmological models of loop quantum gravity
• Spacetime-noncommutativity regime of Loop Quantum Gravity
• Rainbow-like Black Hole metric from Loop Quantum Gravity
• The general gravitational Lagrangian with deformed covariance
• Deformed general relativity and scalar-tensor models