# 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…

## 6 Citations

Manifestly gauge-invariant cosmological perturbation theory from full loop quantum gravity

- Physics
- 2020

We apply the full theory of Loop Quantum Gravity (LQG) to cosmology and present a top-down derivation of gauge-invariant cosmological perturbation theory from quantum gravity. The derivation employs…

Propagation of quantum gravity-modified gravitational waves on a classical FLRW spacetime

- Physics
- 2021

The linearized Einstein field equations provide a low energy wave equation for propagation of gravitational fields which may be originated from a high energy source. Motivated by loop quantum gravity…

Stochastic gravitational-wave background in quantum gravity

- Physics
- 2020

Among all cosmological quantum-gravity or quantum-gravity-inspired scenarios, only very few predict a blue-tilted primordial tensor spectrum. We explore five of them and check whether they can…

First-order quantum correction in coherent state expectation value of loop-quantum-gravity Hamiltonian

- PhysicsPhysical Review D
- 2022

Given the non-graph-changing Hamiltonian $\widehat{H[N]}$ in Loop Quantum Gravity (LQG), $\langle\widehat{H[N]}\rangle$, the coherent state expectation value of $\widehat{H[N]}$, admits an…

A model of polymer gravitational waves: theory and some possible observational consequences

- Physics
- 2021

We propose a polymer quantization scheme to derive the eﬀective propagation of gravitational waves on a classical Friedmann-Lemaitre-Robertson-Walker (FLRW) spacetime. These waves, which may…

Sensing Quantum Nature of Primordial Gravitational Waves Using Quantum Electromagnetic Fields

- Physics
- 2021

We establish a new formalism to describe the interaction of an optical system with a background of gravitational waves based on optical medium analogy. Besides reproducing the basic formula for the…

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