Black hole induced false vacuum decay: the role of greybody factors

Shkerin, Andrey; Sibiryakov, Sergey

doi:10.1007/jhep08(2022)161

Title: Black hole induced false vacuum decay: the role of greybody factors

Journal Article · Wed Aug 17 00:00:00 EDT 2022 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep08(2022)161· OSTI ID:1905481

^[1]; Sibiryakov, Sergey ^[2]

Univ. of Minnesota, Minneapolis, MN (United States)
McMaster Univ., Hamilton, ON (Canada); Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)

We study false vacuum decay catalyzed by black holes. We consider a toy two-dimensional model of a scalar field with an unstable potential in the background of a dilaton black hole. A realistic black hole in four dimensions possesses the potential barrier for linear field perturbations. We model this barrier — the greybody factor — for spherically-symmetric perturbations in the toy model by adding a coupling between the scalar field and dilaton. We compute analytically the decay rate for the black hole in thermal equilibrium (Hartle-Hawking state) and for the radiating black hole in empty space (Unruh state). Our results show that, contrary to the Hartle-Hawking vacuum, the decay probability of the Unruh vacuum remains exponentially suppressed at all black hole temperatures. We argue that this result holds also in four dimensions.

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Research Organization:: Univ. of Minnesota, Minneapolis, MN (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0011842

OSTI ID:: 1905481

Journal Information:: Journal of High Energy Physics (Online), Vol. 2022, Issue 8; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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