Abstract

Speed of gravitational waves remains c when it propagates through medium with stress tensor of a perfect fluid. Gravitational waves are absorbed in matter with non-zero shear viscosity. The speed of gravitational waves can differ from c when propagating through in-homogenous scalar field configurations and in modified theories of gravity. Observationally, the damping of gravitational waves and the change in speed of gravity can be probed using multi-messenger signals (γ rays and gravitational waves ) from neutron-star mergers.

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