Anisotropic Inflation's Impact on Stochastic Gravitational-Wave Background

This research investigates the influence of anisotropic primordial power spectra on scalar-induced gravitational waves (SIGWs) and their potential detection by pulsar timing arrays (PTAs) and the Laser Interferometer Space Antenna (LISA). The study builds upon the evidence for a stochastic gravitational-wave background (SGWB) provided by PTA collaborations in June 2023. By deriving explicit expressions for the energy density spectra, the authors analyze the impacts of Finslerian inflation and gauge field inflation models on PTA and LISA. The findings suggest that current PTA observations cannot rule out the existence of small-scale anisotropic primordial perturbations. This highlights the importance of considering anisotropic inflation models when interpreting gravitational wave data. Future research should focus on developing more sensitive gravitational wave detectors and refining the theoretical models of anisotropic inflation to better understand the conditions of the early universe. This will allow for a more accurate interpretation of the SGWB and potentially reveal new insights into the fundamental physics of inflation.

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