Is there a breakdown of effective field theory at the horizon of an extremal black hole?
Journal of High Energy Physics
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Hadar, S., & Reall, H. (2017). Is there a breakdown of effective field theory at the horizon of an extremal black hole?. Journal of High Energy Physics, 2017 (62)https://doi.org/10.1007/JHEP12(2017)062
© 2017, The Author(s). Linear perturbations of extremal black holes exhibit the Aretakis instability, in which higher derivatives of a scalar field grow polynomially with time along the event horizon. This suggests that higher derivative corrections to the classical equations of motion may become large, indicating a breakdown of effective field theory at late time on the event horizon. We investigate whether or not this happens. For extremal Reissner-Nordstrom we argue that, for a large class of theories, general covariance ensures that the higher derivative corrections to the equations of motion appear only in combinations that remain small compared to two derivative terms so effective field theory remains valid. For extremal Kerr, the situation is more complicated since backreaction of the scalar field is not understood even in the two derivative theory. Nevertheless we argue that the effects of the higher derivative terms will be small compared to the two derivative terms as long as the spacetime remains close to extremal Kerr.
black holes, classical theories of gravity
SH is supported by the Blavatnik Postdoctoral Fellowship. SH is grateful to the Albert Einstein Institute, Potsdam for hospitality during the completion of this work. Part of this work was completed while HSR was a participant in the “Geometry and Relativity” programme at the Erwin Schr¨odinger Institute, Vienna.
External DOI: https://doi.org/10.1007/JHEP12(2017)062
This record's URL: https://www.repository.cam.ac.uk/handle/1810/275114
Attribution 4.0 International
Licence URL: http://creativecommons.org/licenses/by/4.0/
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