Energy-momentum response to metric perturbations in the fluid dynamic regime
Tim Stoetzel, Rebekka Fechtner, Stefan Floerchinger
Published: 2025/8/22
Abstract
The interplay of relativistic fluid dynamics and spacetime geometry is discussed in the regime of small wave numbers and frequencies. A combination of gravitational Ward identities and fluid dynamic equations of motion in the Mueller-Israel-Stewart formulation is used to explicitly determine the retarded linear response of the energy-momentum tensor to metric perturbations. We also discuss applications to gravitational wave production and the damping of gravitational waves in a relativistic fluid.