Effect of dark matter halo environment on GW memory signal
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914069074673664 |
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| author | Bhattacharya, Soumya Singha, Chiranjeeb |
| author_facet | Bhattacharya, Soumya Singha, Chiranjeeb |
| contents | In this paper, we study the gravitational wave (GW) memory effect for a black hole embedded in a dark matter halo described by a Hernquist-type density profile, both with and without a spike. We first solve the geodesic equations in this spacetime under the influence of a GW pulse to examine how the combined effects of the dark matter halo and the GW pulse modify the geodesic deviation equation and particle trajectories. We then investigate how the memory effect manifests in the waveform in the presence of the dark matter halo. To do that, we analyze the memory contribution at asymptotic null infinity using the Bondi-Sachs formalism and, in particular, the Bondi-Metzner-Sachs (BMS) flux balance laws associated with BMS symmetries. This framework allows us to quantify the GW memory contribution to the waveform, incorporate it into the ringdown waveform templates, and thereby provide a possible avenue for extracting information about the dark matter halo parameters. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_25819 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Effect of dark matter halo environment on GW memory signal Bhattacharya, Soumya Singha, Chiranjeeb General Relativity and Quantum Cosmology High Energy Physics - Theory In this paper, we study the gravitational wave (GW) memory effect for a black hole embedded in a dark matter halo described by a Hernquist-type density profile, both with and without a spike. We first solve the geodesic equations in this spacetime under the influence of a GW pulse to examine how the combined effects of the dark matter halo and the GW pulse modify the geodesic deviation equation and particle trajectories. We then investigate how the memory effect manifests in the waveform in the presence of the dark matter halo. To do that, we analyze the memory contribution at asymptotic null infinity using the Bondi-Sachs formalism and, in particular, the Bondi-Metzner-Sachs (BMS) flux balance laws associated with BMS symmetries. This framework allows us to quantify the GW memory contribution to the waveform, incorporate it into the ringdown waveform templates, and thereby provide a possible avenue for extracting information about the dark matter halo parameters. |
| title | Effect of dark matter halo environment on GW memory signal |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.25819 |