Quantum gravitational signatures in next-generation gravitational wave detectors. (English) Zbl 1518.83029
Summary: A recent study established a correspondence between the Generalized Uncertainty Principle (GUP) and Modified theories of gravity, particularly Stelle gravity. We investigate the consequences of this correspondence for inflation and cosmological observables by evaluating the power spectrum of the scalar and tensor perturbations using two distinct methods. First, we employ PLANCK observations to determine the GUP parameter \(\gamma_0\). Then, we use the value of \(\gamma_0\) to investigate the implications of quantum gravity on the power spectrum of primordial gravitational waves and their possible detectability in the next-generation detectors, like Einstein Telescope and Cosmic explorer.
MSC:
| 83C45 | Quantization of the gravitational field |
| 83E05 | Geometrodynamics and the holographic principle |
| 81V22 | Unified quantum theories |
| 81S07 | Uncertainty relations, also entropic |
| 83C35 | Gravitational waves |
| 83D05 | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
| 47A10 | Spectrum, resolvent |
| 35B20 | Perturbations in context of PDEs |
| 83B05 | Observational and experimental questions in relativity and gravitational theory |
Keywords:
quantum gravity phenomenology; GUP; quadratic gravity; inflation; primordial gravitational wavesReferences:
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