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Leo C. Stein (duetosymmetry@mastodon.social)'s status on Wednesday, 17-Apr-2024 04:00:20 UTC Leo C. Stein

🎉 New preprint! 🎉
A short technical note—of interest to folks working on black hole perturbation theory. I give conditions for a handy gauge choice to also freeze the location of the event horizon of a black hole.
"Can a radiation gauge be horizon-locking?"
https://arxiv.org/abs/2404.10113
In conversation about 7 months ago from mastodon.social permalink
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2. Can a radiation gauge be horizon-locking?
  
  In this short Note, I answer the titular question: Yes, a radiation gauge can be horizon-locking. Radiation gauges are very common in black hole perturbation theory. It's also very convenient if a gauge choice is horizon-locking, i.e. the location of the horizon is not moved by a linear metric perturbation. Therefore it is doubly convenient that a radiation gauge can be horizon-locking, when some simple criteria are satisfied. Though the calculation is straightforward, it seemed useful enough to warrant writing this Note. Finally I show an example: the $\ell$ vector of the Hartle-Hawking tetrad in Kerr satisfies all the conditions for ingoing radiation gauge to keep the future horizon fixed.

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