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DC Field | Value | Language |
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dc.contributor.advisor | Alatas, Husin | - |
dc.contributor.advisor | Sumaryada, R Tony Ibnu | - |
dc.contributor.author | Fitriani, Arine | - |
dc.date.accessioned | 2021-12-01T23:03:24Z | - |
dc.date.available | 2021-12-01T23:03:24Z | - |
dc.date.issued | 2021 | - |
dc.identifier.uri | http://repository.ipb.ac.id/handle/123456789/110059 | - |
dc.description.abstract | Metrik dari ruang-waktu Kerr 4+1 dimensi telah dikonstruksi di dalam penelitian sebelumnya, namun karakteristik dari ruang-waktu tersebut belum diuraikan lebih lanjut. Penelitian ini menguraikan karakteristik tersebut dengan merumuskan radius singularitas dan persamaan geodesiknya agar dapat memvisualisasikan gerak partikel bermassa dan tidak bermassa di sekitar black hole. Radius singularitas dari metrik Kerr 4+1 dimensi dapat dihitung dari komponen dr^2 dan didapatkan hasil r=√(2M-a^2). Radius ini menggambarkan batas dari black hole atau dikenal sebagai event horizon. Radius event horizon lain juga ditemukan sebagai kasus khusus untuk partikel tidak bermassa dan didapatkan hasil r=√((ah/k)-a^2). Dari persamaan geodesik, hasil yang didapatkan berupa grafik-grafik potensial efektif dan visualisasi lintasan gerak partikel bermassa dan tidak bermassa yang berupa lintasan orbit tak terikat. Perbedaan bentuk setiap orbit lintasan partikel bermassa dan tidak bermassa ini diindikasikan sebagai konsekuensi dari dimensi ruang ekstra yang direpresentasikan dengan koordinat α. | id |
dc.description.abstract | The metric of the 4+1 dimensional Kerr spacetime has been constructed in the previous research, however, the characteristics of this spacetime have not been elaborated furthermore. This research elaborates the characteristics by formulating the radius of singularity and geodesic equation for visualizing the massive and massless particle motion near the black hole. The radius of the singularity of the 4+1 dimensional Kerr metric can be obtained by dr^2-component and its result is r=√(2M-a^2). This radius describes the boundary of the black hole recognized as the event horizon. The other radius of event horizon also has been found as a special case for massless particle and its result is r=√((ah/k)-a^2). From the geodesic equation, the obtained results are in the form of graphs of the effective potential and visualization of the trajectories of massive and massless particle motion in the unbounded orbit. The difference between each trajectory of massive and massless particle motion is indicated as a consequence of the extra dimension represented by the α-coordinate. | id |
dc.language.iso | id | id |
dc.publisher | IPB University | id |
dc.title | Gerak Partikel Bermassa dan Tidak Bermassa di Sekitar Black Hole dalam Ruang-waktu Kerr 4+1 Dimensi | id |
dc.type | Undergraduate Thesis | id |
dc.subject.keyword | extra dimension | id |
dc.subject.keyword | geodesic equation | id |
dc.subject.keyword | Kerr spacetime | id |
dc.subject.keyword | massive and massless particle | id |
dc.subject.keyword | radius of singularity | id |
Appears in Collections: | UT - Physics |
Files in This Item:
File | Description | Size | Format | |
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Cover, Lembar Pengesahan, Prakata, Daftar Isi.pdf Restricted Access | Cover | 2.65 MB | Adobe PDF | View/Open |
G74170067_Arine Fitriani.pdf Restricted Access | Fullteks | 14.35 MB | Adobe PDF | View/Open |
Lampiran.pdf Restricted Access | Lampiran | 5.32 MB | Adobe PDF | View/Open |
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