Virial tests for post-Newtonian stationary black-hole-disk systems

2015
journal article
conference proceedings
1
dc.abstract.enWe investigated hydrodynamical post-Newtonian models of selfgravitating stationary black-hole-disk systems. The post-Newtonian scheme presented here and also in our recent paper is a continuation of previous, purely Newtonian studies of selfgravitating hydrodynamical disks rotating according to the Keplerian rotation law. The post-Newtonian relativistic corrections are significant even at the 1PN level. The 1PN correction to the angular velocity can be of the order of 10% of its Newtonian value. It can be expressed as a combination of geometric and hydrodynamical terms. Moreover, in contrast to the Newtonian Poincaré-Wavre theorem, it depends both on the distance from the rotation axis and the distance from the equatorial plane. In the technical part of this note we derive virial relations valid up to 1PN order. We show that they are indeed satisfied by our numerical solutions.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiegopl
dc.conferenceSpanish Relativity Meeting (ERE 2014): almost 100 years after Einstein''s revolution
dc.conferenceSpanish Relativity Meeting (ERE 2014): almost 100 years after Einstein's revolutionpl
dc.conference.cityWalencja
dc.conference.countryHiszpania
dc.conference.datefinish2014-09-05
dc.conference.datestart2014-09-01
dc.conference.indexscopustrue
dc.conference.indexwostrue
dc.contributor.authorJaranowski, Piotrpl
dc.contributor.authorMach, Patryk - 159226 pl
dc.contributor.authorMalec, Edward - 130255 pl
dc.contributor.authorPiróg, Michał - 207503 pl
dc.date.accessioned2015-07-16T14:49:46Z
dc.date.available2015-07-16T14:49:46Z
dc.date.issued2015pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.admin[AB] Piróg, Michał
dc.description.conftypeinternationalpl
dc.description.publication0,5pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume600pl
dc.identifier.articleid012011pl
dc.identifier.doi10.1088/1742-6596/600/1/012011pl
dc.identifier.eissn1742-6596pl
dc.identifier.issn1742-6588pl
dc.identifier.projectROD UJ / Ppl
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/13097
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 3.0*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/legalcode*
dc.share.typeotwarte czasopismo
dc.subtypeConferenceProceedingspl
dc.titleVirial tests for post-Newtonian stationary black-hole-disk systemspl
dc.title.journalJournal of Physics. Conference Seriespl
dc.title.volumeSpanish Relativity Meeting (ERE 2014) : almost 100 years after Einstein's revolution : 1-5 September 2014, Valencia, Spainpl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
We investigated hydrodynamical post-Newtonian models of selfgravitating stationary black-hole-disk systems. The post-Newtonian scheme presented here and also in our recent paper is a continuation of previous, purely Newtonian studies of selfgravitating hydrodynamical disks rotating according to the Keplerian rotation law. The post-Newtonian relativistic corrections are significant even at the 1PN level. The 1PN correction to the angular velocity can be of the order of 10% of its Newtonian value. It can be expressed as a combination of geometric and hydrodynamical terms. Moreover, in contrast to the Newtonian Poincaré-Wavre theorem, it depends both on the distance from the rotation axis and the distance from the equatorial plane. In the technical part of this note we derive virial relations valid up to 1PN order. We show that they are indeed satisfied by our numerical solutions.
dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
dc.conference
Spanish Relativity Meeting (ERE 2014): almost 100 years after Einstein''s revolution
dc.conferencepl
Spanish Relativity Meeting (ERE 2014): almost 100 years after Einstein's revolution
dc.conference.city
Walencja
dc.conference.country
Hiszpania
dc.conference.datefinish
2014-09-05
dc.conference.datestart
2014-09-01
dc.conference.indexscopus
true
dc.conference.indexwos
true
dc.contributor.authorpl
Jaranowski, Piotr
dc.contributor.authorpl
Mach, Patryk - 159226
dc.contributor.authorpl
Malec, Edward - 130255
dc.contributor.authorpl
Piróg, Michał - 207503
dc.date.accessioned
2015-07-16T14:49:46Z
dc.date.available
2015-07-16T14:49:46Z
dc.date.issuedpl
2015
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.admin
[AB] Piróg, Michał
dc.description.conftypepl
international
dc.description.publicationpl
0,5
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
600
dc.identifier.articleidpl
012011
dc.identifier.doipl
10.1088/1742-6596/600/1/012011
dc.identifier.eissnpl
1742-6596
dc.identifier.issnpl
1742-6588
dc.identifier.projectpl
ROD UJ / P
dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/13097
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 3.0
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/3.0/legalcode
dc.share.type
otwarte czasopismo
dc.subtypepl
ConferenceProceedings
dc.titlepl
Virial tests for post-Newtonian stationary black-hole-disk systems
dc.title.journalpl
Journal of Physics. Conference Series
dc.title.volumepl
Spanish Relativity Meeting (ERE 2014) : almost 100 years after Einstein's revolution : 1-5 September 2014, Valencia, Spain
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

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