Log-periodic gravitational-wave background beyond Einstein gravity

Abstract

Periodic patterns of logarithmic oscillations can arise in primordial curvature perturbation spectra and in the associated gravitational-wave background via different mechanisms. We show that, in the presence of log oscillations, the spectral shape of the stochastic background has a unique parametrization independent of its physical origin. We also show that this log-periodic modulation can be generated in any scenario beyond Einstein gravity endowed with an approximate discrete scale invariance, a symmetry typical of deterministic fractal spacetimes that could emerge in quantum gravity under certain conditions. We discuss how a log-oscillatory spectral shape arises from concrete inflationary models beyond Einstein gravity and the prospects for detection in Einstein Telescope and other next-generation gravitational-wave observatories. We find that these instruments will be sensitive to log-periodic features if the detection is made with a high signal-to-noise ratio (SNR) and that the error scales as $1/\mathrm{SNR}$.

28 pages, 3 figures, 1 table. v2: section 3 reorganized and shortened, conclusions expanded, references added; v3: typos corrected

References in corpus (36)

• The NANOGrav 15-year Data Set: Evidence for a Gravitational-Wave Background
• Search for an isotropic gravitational-wave background with the Parkes Pulsar Timing Array
• Searching for the nano-Hertz stochastic gravitational wave background with the Chinese Pulsar Timing Array Data Release I
• The second data release from the European Pulsar Timing Array III. Search for gravitational wave signals
• BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• Symmetries and Strings in Field Theory and Gravity
• Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations
• The cosmological gravitational wave background from primordial density perturbations
• Science with the Einstein Telescope: a comparison of different designs
• Cosmology with the Laser Interferometer Space Antenna
• New Horizons for Fundamental Physics with LISA
• Generation and Characterization of Large Non-Gaussianities in Single Field Inflation
• Probing reheating temperature of the universe with gravitational wave background
• Fractal properties of quantum spacetime
• Mass hierarchies and non-decoupling in multi-scalar field dynamics
• Precision calculations of the gravitational wave background spectrum from inflation
• Dimension and Dimensional Reduction in Quantum Gravity
• Folded Resonant Non-Gaussianity in General Single Field Inflation
• Blue-tilted Tensor Spectrum and Thermal History of the Universe
• Testing Chern-Simons Modified Gravity with Gravitational-Wave Detections of Extreme-Mass-Ratio Binaries
• Probing Primordial Features with the Stochastic Gravitational Wave Background
• Models of the Primordial Standard Clock
• Wiggly Whipped Inflation
• Standard Clock in Primordial Density Perturbations and Cosmic Microwave Background
• Whipped inflation
• Multifractional theories: an unconventional review
• Measuring the propagation speed of gravitational waves with LISA
• Dimensional flow in discrete quantum geometries
• Stochastic gravitational-wave background in quantum gravity
• Multiscale spacetimes from first principles
• Untangling features in the primordial spectra
• Stochastic gravitational wave background: methods and Implications
• Sharp turns in axion monodromy: primordial black holes and gravitational waves
• Primordial Black Holes and Gravitational Waves in Multi-Axion-Chern-Simons Inflation
• The effect of multiple features on the power spectrum in two-field inflation
• Curvature effects in the spectral dimension of spin foams

Cited by in corpus (2)

• The Science of the Einstein Telescope
• Gravitational-wave background in bouncing models from semi-classical, quantum and string gravity