Rescuing the concept of swimming in curved spacetime

Detalhes bibliográficos
Autor(a) principal: Silva, Rodrigo Andrade E [UNESP]
Data de Publicação: 2016
Outros Autores: Matsas, George E.A. [UNESP], Vanzella, Daniel A.T.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1103/PhysRevD.94.121502
http://hdl.handle.net/11449/228356
Resumo: It has been argued that an extended, quasi-rigid body evolving freely in curved spacetime can deviate from its natural trajectory by simply performing cyclic deformations. More interestingly, in the limit of rapid cycles, the amount of deviation, per cycle, would depend on the sequence of deformations but not on how fast they are performed - like the motion of a swimmer at low Reynolds number. Here, however, we show that the original analysis which supported this idea is inappropriate to investigate the motion of extended bodies in the context of general relativity, rendering its quantitative results invalid and casting doubts on the reality of this swimming effect. We illustrate this by showing that the original analysis leads to a nonzero deviation even in a scenario where no swimming can possibly occur. Notwithstanding, by applying a fully covariant, local formalism, we show that swimming in curved spacetime is indeed possible and that, in general, its magnitude can be of the same order as (fortuitously) anticipated - although it is highly suppressed in the particular scenario where it was originally investigated.
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spelling Rescuing the concept of swimming in curved spacetimeIt has been argued that an extended, quasi-rigid body evolving freely in curved spacetime can deviate from its natural trajectory by simply performing cyclic deformations. More interestingly, in the limit of rapid cycles, the amount of deviation, per cycle, would depend on the sequence of deformations but not on how fast they are performed - like the motion of a swimmer at low Reynolds number. Here, however, we show that the original analysis which supported this idea is inappropriate to investigate the motion of extended bodies in the context of general relativity, rendering its quantitative results invalid and casting doubts on the reality of this swimming effect. We illustrate this by showing that the original analysis leads to a nonzero deviation even in a scenario where no swimming can possibly occur. Notwithstanding, by applying a fully covariant, local formalism, we show that swimming in curved spacetime is indeed possible and that, in general, its magnitude can be of the same order as (fortuitously) anticipated - although it is highly suppressed in the particular scenario where it was originally investigated.Instituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271-Bl. IIInstituto de Física de São Carlos Universidade de São Paulo, Cx. Postal 369Instituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271-Bl. IIUniversidade Estadual Paulista (UNESP)Universidade de São Paulo (USP)Silva, Rodrigo Andrade E [UNESP]Matsas, George E.A. [UNESP]Vanzella, Daniel A.T.2022-04-29T08:08:57Z2022-04-29T08:08:57Z2016-12-22info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevD.94.121502Physical Review D, v. 94, n. 12, 2016.2470-00292470-0010http://hdl.handle.net/11449/22835610.1103/PhysRevD.94.1215022-s2.0-85022327229Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Dinfo:eu-repo/semantics/openAccess2022-04-29T08:08:57Zoai:repositorio.unesp.br:11449/228356Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:13:53.960807Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Rescuing the concept of swimming in curved spacetime
title Rescuing the concept of swimming in curved spacetime
spellingShingle Rescuing the concept of swimming in curved spacetime
Silva, Rodrigo Andrade E [UNESP]
title_short Rescuing the concept of swimming in curved spacetime
title_full Rescuing the concept of swimming in curved spacetime
title_fullStr Rescuing the concept of swimming in curved spacetime
title_full_unstemmed Rescuing the concept of swimming in curved spacetime
title_sort Rescuing the concept of swimming in curved spacetime
author Silva, Rodrigo Andrade E [UNESP]
author_facet Silva, Rodrigo Andrade E [UNESP]
Matsas, George E.A. [UNESP]
Vanzella, Daniel A.T.
author_role author
author2 Matsas, George E.A. [UNESP]
Vanzella, Daniel A.T.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
Universidade de São Paulo (USP)
dc.contributor.author.fl_str_mv Silva, Rodrigo Andrade E [UNESP]
Matsas, George E.A. [UNESP]
Vanzella, Daniel A.T.
description It has been argued that an extended, quasi-rigid body evolving freely in curved spacetime can deviate from its natural trajectory by simply performing cyclic deformations. More interestingly, in the limit of rapid cycles, the amount of deviation, per cycle, would depend on the sequence of deformations but not on how fast they are performed - like the motion of a swimmer at low Reynolds number. Here, however, we show that the original analysis which supported this idea is inappropriate to investigate the motion of extended bodies in the context of general relativity, rendering its quantitative results invalid and casting doubts on the reality of this swimming effect. We illustrate this by showing that the original analysis leads to a nonzero deviation even in a scenario where no swimming can possibly occur. Notwithstanding, by applying a fully covariant, local formalism, we show that swimming in curved spacetime is indeed possible and that, in general, its magnitude can be of the same order as (fortuitously) anticipated - although it is highly suppressed in the particular scenario where it was originally investigated.
publishDate 2016
dc.date.none.fl_str_mv 2016-12-22
2022-04-29T08:08:57Z
2022-04-29T08:08:57Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1103/PhysRevD.94.121502
Physical Review D, v. 94, n. 12, 2016.
2470-0029
2470-0010
http://hdl.handle.net/11449/228356
10.1103/PhysRevD.94.121502
2-s2.0-85022327229
url http://dx.doi.org/10.1103/PhysRevD.94.121502
http://hdl.handle.net/11449/228356
identifier_str_mv Physical Review D, v. 94, n. 12, 2016.
2470-0029
2470-0010
10.1103/PhysRevD.94.121502
2-s2.0-85022327229
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physical Review D
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
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institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
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