Propagation of quantum gravity-modified gravitational waves on a classical FLRW spacetime
| Autor: | Paulo Vargas Moniz, Saeed Rastgoo, Yaser Tavakoli, Angel Garcia-Chung, James B. Mertens |
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| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) Loop quantum gravity 01 natural sciences General Relativity and Quantum Cosmology symbols.namesake High Energy Physics - Phenomenology (hep-ph) Gravitational field 0103 physical sciences 010306 general physics High Energy Astrophysical Phenomena (astro-ph.HE) Physics 010308 nuclear & particles physics Gravitational wave Equations of motion Wave equation High Energy Physics - Phenomenology Classical mechanics High Energy Physics - Theory (hep-th) Einstein field equations symbols Quantum gravity Astrophysics - High Energy Astrophysical Phenomena Hamiltonian (quantum mechanics) |
| Zdroj: | Physical Review D. 103 |
| ISSN: | 2470-0029 2470-0010 |
| Popis: | The linearized Einstein field equations provide a low-energy wave equation for the propagation of gravitational fields which may originate from a high energy source. Motivated by loop quantum gravity, we propose the polymer quantization scheme to derive the effective propagation of such waves on a classical Friedmann-Lemaitre-Robertson-Walker (FLRW) spacetime. To overcome the challenge of polymer quantizing a time-dependent Hamiltonian, we rewrite such a Hamiltonian in a time-independent manner in the extended phase space, polymerize it, and then transform it back to the usual phase space. In this way we obtain a time-dependent polymer Hamiltonian for the gravitational waves. We then derive the effective equations of motion and show that (i) the form of the waves is modified, (ii) the speed of the waves depends on their frequencies, and (iii) quantum effects become more apparent as waves traverse longer distances. 24 pages, 4 figures; v2: minor modifications, matches the version published in PRD |
| Databáze: | OpenAIRE |
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