Rescuing the concept of swimming in curved spacetime
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | , |
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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Repositório Institucional da UNESP |
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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) |
instacron_str |
UNESP |
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) |
repository.mail.fl_str_mv |
|
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1808128776512471040 |