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arXiv · 2411.17318

The general property of the tensor gravitational memory effect in theories of gravity

Shaoqi Hou
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Abstract

In this work, it is shown that based on the linear analysis, as long as a theory of gravity is diffeomorphism invariant and possesses the tensor degrees of freedom propagating at a constant, isotropic speed without dispersion, its asymptotic symmetry group of an isolated system contains the (extended/generalized) Bondi-Metzner-Sachs group. The tensor gravitational wave induces the displacement, spin and center-of-mass memory effects. They depend on the asymptotic shear tensor. The displacement memory effect is the vacuum transition and parameterized by a supertranslation transformation. All of these hold even when the Lorentz symmetry is broken by a special timelike direction.

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Shaoqi Hou. 2024-11-26. The general property of the tensor gravitational memory effect in theories of gravity. https://arxiv.org/abs/2411.17318

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