Rescuing the Unruh Effect in Lorentz Violating Gravity

Fuente: arXiv
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Main Authors: Del Porro, F., Herrero-Valea, M., Liberati, S., Schneider, M.
Format: Preprint
Published: 2023
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author Del Porro, F.
Herrero-Valea, M.
Liberati, S.
Schneider, M.
author_facet Del Porro, F.
Herrero-Valea, M.
Liberati, S.
Schneider, M.
contents While the robustness of Hawking radiation in the presence of UV Lorentz breaking is well-established, the Unruh effect has posed a challenge, with a large literature concluding that even the low-energy restoration of Lorentz invariance may not be sufficient to sustain this phenomenon. Notably, these previous studies have primarily focused on Lorentz-breaking matter on a conventional Rindler wedge. In this work, we demonstrate that considering the complete structure of Lorentz-breaking gravity, specifically the presence of a hypersurface orthogonal aether field, leads to the selection of a new Rindler wedge configuration characterized by a uniformly accelerated aether flow. This uniform acceleration provides a reference scale for comparison with the Lorentz-breaking one, thus ensuring the persistence of the Unruh effect in this context. We establish this by calculating the expected temperature using a Bogolubov approach, and by analyzing the response of a uniformly accelerated detector. We suggest that this resilience of the Unruh effect opens interesting possibilities towards future developments for using it as a tool to constrain Lorentz breaking theories of gravity.
format Preprint
id arxiv_https___arxiv_org_abs_2312_03070
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Rescuing the Unruh Effect in Lorentz Violating Gravity
Del Porro, F.
Herrero-Valea, M.
Liberati, S.
Schneider, M.
General Relativity and Quantum Cosmology
High Energy Physics - Theory
While the robustness of Hawking radiation in the presence of UV Lorentz breaking is well-established, the Unruh effect has posed a challenge, with a large literature concluding that even the low-energy restoration of Lorentz invariance may not be sufficient to sustain this phenomenon. Notably, these previous studies have primarily focused on Lorentz-breaking matter on a conventional Rindler wedge. In this work, we demonstrate that considering the complete structure of Lorentz-breaking gravity, specifically the presence of a hypersurface orthogonal aether field, leads to the selection of a new Rindler wedge configuration characterized by a uniformly accelerated aether flow. This uniform acceleration provides a reference scale for comparison with the Lorentz-breaking one, thus ensuring the persistence of the Unruh effect in this context. We establish this by calculating the expected temperature using a Bogolubov approach, and by analyzing the response of a uniformly accelerated detector. We suggest that this resilience of the Unruh effect opens interesting possibilities towards future developments for using it as a tool to constrain Lorentz breaking theories of gravity.
title Rescuing the Unruh Effect in Lorentz Violating Gravity
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2312.03070