Modifications to gravitational wave equation from canonical quantum gravity
@article{Dapor2020ModificationsTG, title={Modifications to gravitational wave equation from canonical quantum gravity}, author={Andrea Dapor and Klaus Liegener}, journal={The European Physical Journal C}, year={2020} }
It is expected that the quantum nature of spacetime leaves its imprint in all semiclassical gravitational systems, at least in certain regimes, including gravitational waves. In this paper we investigate such imprints on gravitational waves within a specific framework: space is assumed to be discrete (in the form of a regular cubic lattice), and this discrete geometry is quantised following Dirac’s canonical quantisation scheme. The semiclassical behavior is then extracted by promoting the…
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References
SHOWING 1-10 OF 101 REFERENCES
New loop quantum cosmology modifications from gauge-covariant fluxes
- PhysicsPhysical Review D
- 2019
Loop quantum cosmology is a symmetry reduced quantization of cosmological spacetimes based on loop quantum gravity. While it has been successful in resolution of various cosmological singularities…
Cosmological coherent state expectation values in loop quantum gravity I. Isotropic kinematics
- PhysicsClassical and Quantum Gravity
- 2018
This is the first paper of a series dedicated to LQG coherent states and cosmology. The concept is based on the effective dynamics program of Loop Quantum Cosmology, where the classical dynamics…
Quantum reduced loop gravity: Semiclassical limit
- Physics
- 2014
We discuss the semiclassical limit of quantum reduced loop gravity, a recently proposed model to address the quantum dynamics of the early Universe. We apply loop quantum gravity (LQG) techniques in…
Loop Quantum Cosmology
- PhysicsLiving reviews in relativity
- 2008
L loop quantum cosmology is an application of loop quantum gravity to homogeneous systems, which removes classical singularities and introduces the main effects of quantum effects into effective classical equations, which allow one to avoid the interpretational problems of quantum theory.
Gravitational wave generation in loop quantum cosmology
- Physics
- 2011
We calculate the full spectrum, as observed today, of the cosmological gravitational waves generated within a model based on loop quantum cosmology. It is assumed that the universe, after the…
Emergent four-dimensional linearized gravity from a spin foam model
- PhysicsPhysical Review D
- 2019
Spin Foam Models (SFMs) are covariant formulations of Loop Quantum Gravity (LQG) in 4 dimensions. This work studies the perturbations of SFMs on a flat background. It demonstrates for the first time…
Introduction to Modern Canonical Quantum General Relativity
- Physics
- 2001
This is an introduction to the by now fifteen years old research field of canonical quantum general relativity, sometimes called "loop quantum gravity". The term "modern" in the title refers to the…
Quantum cosmological backreactions. I. Cosmological space adiabatic perturbation theory
- PhysicsPhysical Review D
- 2022
The search for quantum gravity fingerprints in currently available cosmological data that have their origin from the Planck era is of growing interest due to major recent progress both in the…
Inflation in loop quantum cosmology: Dynamics and spectrum of gravitational waves
- Physics
- 2010
Loop quantum cosmology provides an efficient framework to study the evolution of the Universe beyond the classical Big Bang paradigm. Because of holonomy corrections, the singularity is replaced by a…
Quantum theory of geometry: I. Area operators
- Mathematics
- 1996
A new functional calculus, developed recently for a fully non-perturbative treatment of quantum gravity, is used to begin a systematic construction of a quantum theory of geometry. Regulated…