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Casimir effect in free fall towards a Schwarzschild black hole

Sorge, Francesco and Wilson, Justin H. (2019) Casimir effect in free fall towards a Schwarzschild black hole. Physical Review D, 100 (10). Art. No. 105007. ISSN 2470-0010. https://resolver.caltech.edu/CaltechAUTHORS:20191112-093022435

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Abstract

In this paper we discuss the Casimir effect in a small cavity, freely falling from spatial infinity in spacetime geometry outside of a Schwarzschild black hole. Our main goal is to search for possible changes in the vacuum energy, as well as particle creation inside the falling cavity, with respect to a comoving observer. Working in the Lemaître chart and assuming a cavity size L much smaller than the Schwarzschild radius (L/r_g≪1), we solve the Klein-Gordon equation for a massless scalar field confined within the cavity in the reference frame of the comoving observer. We follow Schwinger’s proper time approach, evaluating the one-loop effective action for the field in the falling cavity hence evaluating the corrections to the vacuum energy. We find a small reduction in the absolute value of Casimir energy as the cavity approaches the black hole horizon due to the changing spacetime geometry. Since the spacetime geometry for the cavity changes dynamically, we further find the energy density of the created particles due to the dynamical Casimir effect. These dynamical contributions exactly match the deficit to the static Casimir energy. Combined, the observer measures a net increase in energy within the cavity as she falls.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/physrevd.100.105007DOIArticle
https://arxiv.org/abs/1909.07357arXivDiscussion Paper
ORCID:
AuthorORCID
Sorge, Francesco0000-0001-9203-4977
Wilson, Justin H.0000-0001-6903-0417
Additional Information:© 2019 American Physical Society. Received 23 September 2019; published 11 November 2019. We thank Steve Fulling for collaborations on related work and helpful discussions. We also thank Yoni Bentov for helpful discussions. This work was supported by the Caltech Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation. J. H. W. was supported by the Air Force Office for Scientific Research.
Group:UNSPECIFIED, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Issue or Number:10
Record Number:CaltechAUTHORS:20191112-093022435
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20191112-093022435
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:99797
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:12 Nov 2019 17:36
Last Modified:04 Jun 2020 10:14

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