Laboratory Frame Representation for General High-Frequency Gravitational Waveforms
arXiv:2506.20198 · doi:10.1103/h3nh-3hxg
Abstract
Next-generation gravitational wave (GW) experiments will explore higher frequency ranges, where GW wavelengths approach the size of the detector itself. In this regime, GWs may be detected not just through the well-known mechanical deformation by tidal forces but also via induced effective currents in electromagnetic background fields. However, the calculation of this signal requires the GW metric in laboratory coordinates of the detector, and an accurate transformation to all orders into this frame is necessary. In this work, we derive a closed-form expression for the metric transformation of general chirp-like waveforms expressed in terms of the transverse-traceless GW metric, its integral, and its derivative. For more complex signals, where analytical integration is impractical, we provide an efficient approximation based on Taylor expansions of the retarded time to coalescence. Finally, we demonstrate how these results can be applied to calculate the signal response of a large class of detectors. Our approach provides essential tools for designing and interpreting high-frequency GW experiments that search for compact object mergers at MHz to GHz frequencies beyond the long-wavelength limit.
References in corpus (13)
- Coalescing binary systems of compact objects to (post)$^{5/2}-Newtonian order. V. Spin Effects
- Searching for WISPy Cold Dark Matter with a Dish Antenna
- Detecting High-Frequency Gravitational Waves with Microwave Cavities
- Broadband solenoidal haloscope for terahertz axion detection
- Dielectric Haloscopes to Search for Axion Dark Matter: Theoretical Foundations
- Fermi Coordinates for Weak Gravitational Fields
- Hunt for Light Primordial Black Hole Dark Matter with Ultra-High-Frequency Gravitational Waves
- Gravitational Waves from Dark Boson Star binary mergers
- MAGO2.0: Electromagnetic Cavities as Mechanical Bars for Gravitational Waves
- Fermi-normal, optical, and wave-synchronous coordinates for spacetime with a plane gravitational wave
- Axion haloscope signal power from reciprocity
- Multimessenger signals from compact axion star mergers
- First characterisation of the MAGO cavity, a superconducting RF detector for kHz-MHz gravitational waves