Loop quantum gravity corrections to gravitational wave dispersion

Abstract

Cosmological tensor perturbations equations are derived for Hamiltonian cosmology based on Ashtekar's formulation of general relativity, including typical quantum gravity effects in the Hamiltonian constraint as they are expected from loop quantum gravity. This translates to corrections of the dispersion relation for gravitational waves. The main application here is the preservation of causality which is shown to be realized due to the absence of anomalies in the effective constraint algebra used.

27 pages

References in corpus (3)

• Cosmological vector modes and quantum gravity effects
• Lattice Refining LQC and the Matter Hamiltonian
• The radiation equation of state and loop quantum gravity corrections

Cited by in corpus (6)

• Anomaly freedom in perturbative loop quantum gravity
• Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity
• Exact solutions for Big Bounce in loop quantum cosmology
• Harmonic cosmology: How much can we know about a universe before the big bang?
• Dirac Fields in Loop Quantum Gravity and Big Bang Nucleosynthesis
• Loop Quantum Cosmology: Effective theories and oscillating universes