| 1. Identity statement | ||||
| Reference Type | Conference Paper (Conference Proceedings) | |||
| Site | mtc-m21b.sid.inpe.br | |||
| Holder Code | isadg {BR SPINPE} ibi 8JMKD3MGPCW/3DT298S | |||
| Identifier | 8JMKD3MGP3W34P/3M8RSE5 | |||
| Repository | sid.inpe.br/mtc-m21b/2016/08.11.19.35 | |||
| Last Update | 2021:03.11.18.30.54 (UTC) simone | |||
| Metadata Repository | sid.inpe.br/mtc-m21b/2016/08.11.19.35.06 | |||
| Metadata Last Update | 2021:03.11.18.30.55 (UTC) simone | |||
| Secondary Key | INPE--PRE/ | |||
| Citation Key | Araújo:2016:MaEqSo | |||
| Title | Master equation solutions in the linear regime of characteristic formulation of general relativity  | |||
| Year | 2016 | |||
| Access Date | 2024, May 09 | |||
| Secondary Type | PRE CI | |||
| Number of Files | 1 | |||
| Size | 131 KiB | |||
| 2. Context | ||||
| Author | Araújo, José Carlos Neves de | |||
| Resume Identifier | 8JMKD3MGP5W/3C9JHGK | |||
| Group | DAS-CEA-INPE-MCTI-GOV-BR | |||
| Affiliation | Instituto Nacional de Pesquisas Espaciais (INPE) | |||
| Author e-Mail Address | jcarlos.dearaujo@inpe.br | |||
| Conference Name | International Conference on General Relativity and Gravitation, 21 | |||
| Conference Location | New York | |||
| Date | 10-15 July | |||
| History (UTC) | 2016-08-11 19:35:06 :: simone -> administrator :: 2018-06-04 02:41:01 :: administrator -> simone :: 2016 | |||
| 3. Content and structure | ||||
| Is the master or a copy? | is the master | |||
| Content Stage | completed | |||
| Transferable | 1 | |||
| Content Type | External Contribution | |||
| Abstract | From the field equations in the linear regime of the characteristic formulation of general relativity, Bishop, for a Schwarzschild´s background, and Madler, for a Minkowski´s background, were able to show that it is possible to derive a fourth order ordinary differential equation, called master equation, for the J metric variable of the BondiSachs metric. Once beta, another Bondi-Sachs potential, is obtained from the field equations, and J is obtained from the master equation, the other metric variables are solved integrating directly the rest of the field equations. In the past, the master equation was solved for the first multipolar terms, for both the Minkowski´s and Schwarzschild´s backgrounds. Also, Madler recently reported a generalization of the exact solutions to the linearised field equations when a Minkowski´s background is considered, expressing the master equation family of solutions for the vacuum in terms of Bessel´s functions of the first and the second kind. Here, we report new solutions to the master equation for any multipolar moment l, with and without matter sources in terms only of the first kind Bessel´s functions for the Minkowski, and in terms of the Confluent Heun´s functions (Generalised Hypergeometric) for radiative (nonradiative) case in the Schwarzschild´s background. We particularize our families of solutions for the known cases for l =2 reported previously in the literature and find complete agreement, showing the robustness of our results. | |||
| Area | CEA | |||
| Arrangement | urlib.net > BDMCI > Fonds > Produção anterior à 2021 > DIDAS > Master equation solutions... | |||
| doc Directory Content | access | |||
| source Directory Content | there are no files | |||
| agreement Directory Content |
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| 4. Conditions of access and use | ||||
| data URL | http://urlib.net/ibi/8JMKD3MGP3W34P/3M8RSE5 | |||
| zipped data URL | http://urlib.net/zip/8JMKD3MGP3W34P/3M8RSE5 | |||
| Language | en | |||
| Target File | araujo_master.pdf | |||
| User Group | simone | |||
| Reader Group | administrator simone | |||
| Visibility | shown | |||
| Update Permission | not transferred | |||
| 5. Allied materials | ||||
| Mirror Repository | urlib.net/www/2011/03.29.20.55 | |||
| Next Higher Units | 8JMKD3MGPCW/3ETR8EH | |||
| Citing Item List | sid.inpe.br/mtc-m21/2012/07.13.14.51.44 1 | |||
| Host Collection | sid.inpe.br/mtc-m21b/2013/09.26.14.25.20 | |||
| 6. Notes | ||||
| Empty Fields | archivingpolicy archivist booktitle callnumber copyholder copyright creatorhistory descriptionlevel dissemination doi e-mailaddress edition editor format isbn issn keywords label lineage mark nextedition notes numberofvolumes orcid organization pages parameterlist parentrepositories previousedition previouslowerunit progress project publisher publisheraddress readpermission rightsholder schedulinginformation secondarydate secondarymark serieseditor session shorttitle sponsor subject tertiarymark tertiarytype type url versiontype volume | |||
| 7. Description control | ||||
| e-Mail (login) | simone | |||
| update | ||||