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Gravitational wave memory and the wave equation
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Gravitational wave memory and its electromagnetic analog are shown to be straightforward consequences of the wave equation. From Maxwell's equations one can derive a wave equation for the electric field, while from the Bianchi identity one can derive a wave equation for the Riemann tensor in linearized gravity. Memory in both cases is derived from the structure of the source of those wave equations.
Forward citations
Cited by 3 Pith papers
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Constraining superluminal Einstein-\AE{}ther gravity through gravitational memory
Tensor displacement memory in Einstein-Aether gravity diverges at a critical angle when aether scalar or vector waves travel faster than tensor gravitational waves, motivating a conjecture excluding superluminal Einst...
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Probing Gravity -- Fundamental Aspects of Metric Theories and their Implications for Tests of General Relativity
Gravitational wave memory is shown to arise naturally from the Isaacson backreaction formalism in general metric theories of gravity, unifying null and ordinary memory and providing a memory formula valid beyond GR.
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Gravitational Memory in Generalized Proca Gravity
The displacement memory formula for Generalized Proca gravity is derived for a massive Lorentz-invariant branch and a massless Lorentz-violating branch, with the dispersive branch requiring a frequency-integrated treatment.
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