Acoustic Schwarzschild-like black hole and analogous Hawking radiation in Einstein-bumblebee gravity
Abstract
We derive an acoustic Schwarzschild-like black hole and study its analogous Hawking radiation in Einstein-bumblebee theory by using Gross-Pitaevskii theory in the background of Schwarzschild-like spacetime. This black hole have two kinds of event horizons: one is the gravitational horizon rh=2M(black hole horizon), the others are the internal and external acoustic horizons 2M<rac−≤4M, rac≥4M(dumb hole horizon) which depend on the tuning parameter ξ and Lorentz violation coupling constant ℓ. The corresponding Hawking temperature Th depends only on ℓ, however Tac depends on ℓ and ξ. The dumb hole temperature Tac has a maximum Tacm=Th/8. When considering the scalar particles radiating from the dumb hole, we find that in low frequency, the grey-body factor increases with the tuning parameter ξ, but decreases with ℓ. In the high frequency, it approaches to $1$. Its energy emission rate is similar to the Planck's black spectrum where there has a maximum at a given peak frequency ωm. The energy emission rate also increases with the tuning parameter ξ, but decreases with ℓ. This opposite dependence relationship is the most experimentally valuable feature and can directly benchmark against observations of real astrophysical black holes.
Related
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BibTeX
@misc{ding2026acoustic,
title = {{Acoustic Schwarzschild-like black hole and analogous Hawking radiation in Einstein-bumblebee gravity}},
author = {Chikun Ding and Yuebing Zhou and Yu Shi and Yuehua Xiao and Jiliang Jing},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.33481},
eprint = {2610.33481},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.33481},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Acoustic Schwarzschild-like black hole and analogous Hawking radiation in Einstein-bumblebee gravity
AU - Chikun Ding
AU - Yuebing Zhou
AU - Yu Shi
AU - Yuehua Xiao
AU - Jiliang Jing
PY - 2026
DA - 2026/10/24
PB - arXiv
DO - 10.48550/arxiv.2610.33481
UR - https://arxiv.org/abs/2610.33481
AB - We derive an acoustic Schwarzschild-like black hole and study its analogous Hawking radiation in Einstein-bumblebee theory by using Gross-Pitaevskii theory in the background of Schwarzschild-like spacetime. This black hole have two kinds of event horizons: one is the gravitational horizon r_h=2M(black hole horizon), the others are the internal and external acoustic horizons 2M<r_ac−≤4M, r_ac≥4M(dumb hole horizon) which depend on the tuning parameter ξ and Lorentz violation coupling constant ℓ. The corresponding Hawking temperature T_h depends only on ℓ, however T_ac depends on ℓ and ξ. The dumb hole temperature T_ac has a maximum T_acm=T_h/8. When considering the scalar particles radiating from the dumb hole, we find that in low frequency, the grey-body factor increases with the tuning parameter ξ, but decreases with ℓ. In the high frequency, it approaches to $1$. Its energy emission rate is similar to the Planck's black spectrum where there has a maximum at a given peak frequency ω_m. The energy emission rate also increases with the tuning parameter ξ, but decreases with ℓ. This opposite dependence relationship is the most experimentally valuable feature and can directly benchmark against observations of real astrophysical black holes.
ER -