Causality of the Einstein-Israel-Stewart Theory with Bulk Viscosity
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRN |
Texto Completo: | https://repositorio.ufrn.br/handle/123456789/30648 |
Resumo: | We prove that Einstein’s equations coupled to equations of the Israel-Stewart-type, describing the dynamics of a relativistic fluid with bulk viscosity and nonzero baryon charge (without shear viscosity or baryon diffusion) dynamically coupled to gravity, are causal in the full nonlinear regime. We also show that these equations can be written as a first-order symmetric hyperbolic system, implying local existence and uniqueness of solutions to the equations of motion. We use an arbitrary equation of state and do not make any simplifying symmetry or near-equilibrium assumption, requiring only physically natural conditions on the fields. These results pave the way for the inclusion of bulk viscosity effects in simulations of gravitational-wave signals coming from neutron star mergers |
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Bemfica, Fabio SperottoDisconzi, Marcelo MendesNoronha, Jorge2020-11-24T15:13:39Z2020-11-24T15:13:39Z2019-06-07BEMFICA, Fábio S.; DISCONZI, Marcelo M.; NORONHA, Jorge. Causality of the Einstein-Israel-Stewart Theory with Bulk Viscosity. Physical Review Letters, [S.L.], v. 122, n. 22, p. 221602-221602, 7 jun. 2019. Disponível em: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.122.221602. Acesso em: 10 set. 2020. http://dx.doi.org/10.1103/physrevlett.122.221602.0031-90071079-7114https://repositorio.ufrn.br/handle/123456789/3064810.1103/physrevlett.122.221602American Physical SocietyCausalityEinstein-Israel-StewartTheoryBulk ViscosityCausality of the Einstein-Israel-Stewart Theory with Bulk Viscosityinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleWe prove that Einstein’s equations coupled to equations of the Israel-Stewart-type, describing the dynamics of a relativistic fluid with bulk viscosity and nonzero baryon charge (without shear viscosity or baryon diffusion) dynamically coupled to gravity, are causal in the full nonlinear regime. We also show that these equations can be written as a first-order symmetric hyperbolic system, implying local existence and uniqueness of solutions to the equations of motion. We use an arbitrary equation of state and do not make any simplifying symmetry or near-equilibrium assumption, requiring only physically natural conditions on the fields. These results pave the way for the inclusion of bulk viscosity effects in simulations of gravitational-wave signals coming from neutron star mergersengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNinfo:eu-repo/semantics/openAccessORIGINALCausalityEinstein-Israel-Stewart_BEMFICA_2019.pdfCausalityEinstein-Israel-Stewart_BEMFICA_2019.pdfapplication/pdf184428https://repositorio.ufrn.br/bitstream/123456789/30648/1/CausalityEinstein-Israel-Stewart_BEMFICA_2019.pdf8662d5d3458938d16c043475e0eb4de4MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/30648/2/license.txte9597aa2854d128fd968be5edc8a28d9MD52TEXTCausalityEinstein-Israel-Stewart_BEMFICA_2019.pdf.txtCausalityEinstein-Israel-Stewart_BEMFICA_2019.pdf.txtExtracted texttext/plain33259https://repositorio.ufrn.br/bitstream/123456789/30648/3/CausalityEinstein-Israel-Stewart_BEMFICA_2019.pdf.txt0492888fc9177317f214b5538b4e9f71MD53THUMBNAILCausalityEinstein-Israel-Stewart_BEMFICA_2019.pdf.jpgCausalityEinstein-Israel-Stewart_BEMFICA_2019.pdf.jpgGenerated Thumbnailimage/jpeg1706https://repositorio.ufrn.br/bitstream/123456789/30648/4/CausalityEinstein-Israel-Stewart_BEMFICA_2019.pdf.jpg43b2871cb6da6c58efeac1c1e67db3c2MD54123456789/306482020-11-29 04:45:24.599oai:https://repositorio.ufrn.br:123456789/30648Tk9OLUVYQ0xVU0lWRSBESVNUUklCVVRJT04gTElDRU5TRQoKCkJ5IHNpZ25pbmcgYW5kIGRlbGl2ZXJpbmcgdGhpcyBsaWNlbnNlLCBNci4gKGF1dGhvciBvciBjb3B5cmlnaHQgaG9sZGVyKToKCgphKSBHcmFudHMgdGhlIFVuaXZlcnNpZGFkZSBGZWRlcmFsIFJpbyBHcmFuZGUgZG8gTm9ydGUgdGhlIG5vbi1leGNsdXNpdmUgcmlnaHQgb2YKcmVwcm9kdWNlLCBjb252ZXJ0IChhcyBkZWZpbmVkIGJlbG93KSwgY29tbXVuaWNhdGUgYW5kIC8gb3IKZGlzdHJpYnV0ZSB0aGUgZGVsaXZlcmVkIGRvY3VtZW50IChpbmNsdWRpbmcgYWJzdHJhY3QgLyBhYnN0cmFjdCkgaW4KZGlnaXRhbCBvciBwcmludGVkIGZvcm1hdCBhbmQgaW4gYW55IG1lZGl1bS4KCmIpIERlY2xhcmVzIHRoYXQgdGhlIGRvY3VtZW50IHN1Ym1pdHRlZCBpcyBpdHMgb3JpZ2luYWwgd29yaywgYW5kIHRoYXQKeW91IGhhdmUgdGhlIHJpZ2h0IHRvIGdyYW50IHRoZSByaWdodHMgY29udGFpbmVkIGluIHRoaXMgbGljZW5zZS4gRGVjbGFyZXMKdGhhdCB0aGUgZGVsaXZlcnkgb2YgdGhlIGRvY3VtZW50IGRvZXMgbm90IGluZnJpbmdlLCBhcyBmYXIgYXMgaXQgaXMKdGhlIHJpZ2h0cyBvZiBhbnkgb3RoZXIgcGVyc29uIG9yIGVudGl0eS4KCmMpIElmIHRoZSBkb2N1bWVudCBkZWxpdmVyZWQgY29udGFpbnMgbWF0ZXJpYWwgd2hpY2ggZG9lcyBub3QKcmlnaHRzLCBkZWNsYXJlcyB0aGF0IGl0IGhhcyBvYnRhaW5lZCBhdXRob3JpemF0aW9uIGZyb20gdGhlIGhvbGRlciBvZiB0aGUKY29weXJpZ2h0IHRvIGdyYW50IHRoZSBVbml2ZXJzaWRhZGUgRmVkZXJhbCBkbyBSaW8gR3JhbmRlIGRvIE5vcnRlIHRoZSByaWdodHMgcmVxdWlyZWQgYnkgdGhpcyBsaWNlbnNlLCBhbmQgdGhhdCB0aGlzIG1hdGVyaWFsIHdob3NlIHJpZ2h0cyBhcmUgb2YKdGhpcmQgcGFydGllcyBpcyBjbGVhcmx5IGlkZW50aWZpZWQgYW5kIHJlY29nbml6ZWQgaW4gdGhlIHRleHQgb3IKY29udGVudCBvZiB0aGUgZG9jdW1lbnQgZGVsaXZlcmVkLgoKSWYgdGhlIGRvY3VtZW50IHN1Ym1pdHRlZCBpcyBiYXNlZCBvbiBmdW5kZWQgb3Igc3VwcG9ydGVkIHdvcmsKYnkgYW5vdGhlciBpbnN0aXR1dGlvbiBvdGhlciB0aGFuIHRoZSBVbml2ZXJzaWRhZGUgRmVkZXJhbCBkbyBSaW8gR3JhbmRlIGRvIE5vcnRlLCBkZWNsYXJlcyB0aGF0IGl0IGhhcyBmdWxmaWxsZWQgYW55IG9ibGlnYXRpb25zIHJlcXVpcmVkIGJ5IHRoZSByZXNwZWN0aXZlIGFncmVlbWVudCBvciBhZ3JlZW1lbnQuCgpUaGUgVW5pdmVyc2lkYWRlIEZlZGVyYWwgZG8gUmlvIEdyYW5kZSBkbyBOb3J0ZSB3aWxsIGNsZWFybHkgaWRlbnRpZnkgaXRzIG5hbWUgKHMpIGFzIHRoZSBhdXRob3IgKHMpIG9yIGhvbGRlciAocykgb2YgdGhlIGRvY3VtZW50J3MgcmlnaHRzCmRlbGl2ZXJlZCwgYW5kIHdpbGwgbm90IG1ha2UgYW55IGNoYW5nZXMsIG90aGVyIHRoYW4gdGhvc2UgcGVybWl0dGVkIGJ5CnRoaXMgbGljZW5zZQo=Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2020-11-29T07:45:24Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false |
dc.title.pt_BR.fl_str_mv |
Causality of the Einstein-Israel-Stewart Theory with Bulk Viscosity |
title |
Causality of the Einstein-Israel-Stewart Theory with Bulk Viscosity |
spellingShingle |
Causality of the Einstein-Israel-Stewart Theory with Bulk Viscosity Bemfica, Fabio Sperotto Causality Einstein-Israel-Stewart Theory Bulk Viscosity |
title_short |
Causality of the Einstein-Israel-Stewart Theory with Bulk Viscosity |
title_full |
Causality of the Einstein-Israel-Stewart Theory with Bulk Viscosity |
title_fullStr |
Causality of the Einstein-Israel-Stewart Theory with Bulk Viscosity |
title_full_unstemmed |
Causality of the Einstein-Israel-Stewart Theory with Bulk Viscosity |
title_sort |
Causality of the Einstein-Israel-Stewart Theory with Bulk Viscosity |
author |
Bemfica, Fabio Sperotto |
author_facet |
Bemfica, Fabio Sperotto Disconzi, Marcelo Mendes Noronha, Jorge |
author_role |
author |
author2 |
Disconzi, Marcelo Mendes Noronha, Jorge |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Bemfica, Fabio Sperotto Disconzi, Marcelo Mendes Noronha, Jorge |
dc.subject.por.fl_str_mv |
Causality Einstein-Israel-Stewart Theory Bulk Viscosity |
topic |
Causality Einstein-Israel-Stewart Theory Bulk Viscosity |
description |
We prove that Einstein’s equations coupled to equations of the Israel-Stewart-type, describing the dynamics of a relativistic fluid with bulk viscosity and nonzero baryon charge (without shear viscosity or baryon diffusion) dynamically coupled to gravity, are causal in the full nonlinear regime. We also show that these equations can be written as a first-order symmetric hyperbolic system, implying local existence and uniqueness of solutions to the equations of motion. We use an arbitrary equation of state and do not make any simplifying symmetry or near-equilibrium assumption, requiring only physically natural conditions on the fields. These results pave the way for the inclusion of bulk viscosity effects in simulations of gravitational-wave signals coming from neutron star mergers |
publishDate |
2019 |
dc.date.issued.fl_str_mv |
2019-06-07 |
dc.date.accessioned.fl_str_mv |
2020-11-24T15:13:39Z |
dc.date.available.fl_str_mv |
2020-11-24T15:13:39Z |
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.citation.fl_str_mv |
BEMFICA, Fábio S.; DISCONZI, Marcelo M.; NORONHA, Jorge. Causality of the Einstein-Israel-Stewart Theory with Bulk Viscosity. Physical Review Letters, [S.L.], v. 122, n. 22, p. 221602-221602, 7 jun. 2019. Disponível em: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.122.221602. Acesso em: 10 set. 2020. http://dx.doi.org/10.1103/physrevlett.122.221602. |
dc.identifier.uri.fl_str_mv |
https://repositorio.ufrn.br/handle/123456789/30648 |
dc.identifier.issn.none.fl_str_mv |
0031-9007 1079-7114 |
dc.identifier.doi.none.fl_str_mv |
10.1103/physrevlett.122.221602 |
identifier_str_mv |
BEMFICA, Fábio S.; DISCONZI, Marcelo M.; NORONHA, Jorge. Causality of the Einstein-Israel-Stewart Theory with Bulk Viscosity. Physical Review Letters, [S.L.], v. 122, n. 22, p. 221602-221602, 7 jun. 2019. Disponível em: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.122.221602. Acesso em: 10 set. 2020. http://dx.doi.org/10.1103/physrevlett.122.221602. 0031-9007 1079-7114 10.1103/physrevlett.122.221602 |
url |
https://repositorio.ufrn.br/handle/123456789/30648 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
American Physical Society |
publisher.none.fl_str_mv |
American Physical Society |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFRN instname:Universidade Federal do Rio Grande do Norte (UFRN) instacron:UFRN |
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Universidade Federal do Rio Grande do Norte (UFRN) |
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UFRN |
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UFRN |
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collection |
Repositório Institucional da UFRN |
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