The general property of the tensor gravitational memory effect in theories of gravity
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866912643408723968 |
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| author | Hou, Shaoqi |
| author_facet | Hou, Shaoqi |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_17318 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The general property of the tensor gravitational memory effect in theories of gravity Hou, Shaoqi General Relativity and Quantum Cosmology High Energy Physics - Phenomenology High Energy Physics - Theory 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. |
| title | The general property of the tensor gravitational memory effect in theories of gravity |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.17318 |