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The dynamical response of viscous objects to gravitational waves
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We study the dynamical response of viscous materials to gravitational waves, in the context of a fully relativistic theory of fluid dynamics. For the first time, we calculate oscillation modes and scattering properties of viscous stars. Viscous stars absorb high frequency radiation, following a dispersion relation introduced by Press. In the extremely large viscosity regime, stars would become reflectors of waves, but this regime appears to be forbidden by causality bounds. In the context of black hole mimickers, we show how maximally viscous stars on the threshold of stability mimic the absorption of a black hole with the same mass. Our results suggest that rotating viscous stars will amplify incoming radiation.
Forward citations
Cited by 3 Pith papers
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Superradiant amplification by rotating viscous compact objects
Using causal BDNK hydrodynamics, the authors derive coupled gravitational-wave and viscous-mode equations for slowly rotating stars and find superradiant amplification at low frequencies.
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Radial Oscillations of Viscous Stars
Viscosity damps neutron-star radial modes on ms timescales, shifts frequencies by up to ~1% at ζ∼10^30 g/cm/s, produces overdamped modes above ∼10^31, and cannot stabilize unstable stars in Eckart or BDNK theory.
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Relativistic Dispersion Spectra across Lorentz boosted frames: Spurious modes and the enigma of causality
Rest-frame dispersion modes can be mapped into Lorentz-boosted frames through a parametric re-parametrization; the boost-generated 'spurious' roots appear exactly when the mode count is not conserved, which the author...
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