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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/59076Full metadata record
| ???org.dspace.app.webui.jsptag.ItemTag.dcfield??? | Value | Language |
|---|---|---|
| dc.contributor.advisor | 崔茂培 | |
| dc.contributor.author | Shih-Fang Yeh | en |
| dc.contributor.author | 葉士房 | zh_TW |
| dc.date.accessioned | 2021-06-16T09:15:46Z | - |
| dc.date.available | 2017-07-20 | |
| dc.date.copyright | 2017-07-20 | |
| dc.date.issued | 2017 | |
| dc.date.submitted | 2017-07-18 | |
| dc.identifier.citation | [1] D. Christodoulou. The problem of a self-gravitating scalar field. Commun. Math. Phys., 105:337–361, 1986.
[2] Perelman. Grisha. The entropy formula for the ricci flow and its geometric applications. 2008. [3] Cao. Huai-Dong and Zhu. Xi-Ping. Halmilton-perelman’s proof of the poincare conjecture and the geometrization conjecture. 2006. [4] Wang. Mu-Tao. Topics in mathematical general relativity. 2004. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/59076 | - |
| dc.description.abstract | 在這篇論文中，我們研究的是愛因斯坦方程式。當時空座標為邦迪座標時，我們可以在適當的條件下找出精確解使得黎奇曲率與海森張量相等。此外，我們也把這個解跟一些已知的時空做比較。 | zh_TW |
| dc.description.abstract | In this thesis, we study the Einstein field's equations where the Ricci tensor equals to the hessian of a scalar function. We can solve this type of Einstein field's equations under suitable assumption when our spacetime admits a Bondi coordinate. We also compare our solution with other classical solutions such as Minkowski spacetime or Schwarzschild spacetime. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-16T09:15:46Z (GMT). No. of bitstreams: 1 ntu-106-R03221013-1.pdf: 525158 bytes, checksum: 79bf4331424df49ef1951d9f54a4d109 (MD5) Previous issue date: 2017 | en |
| dc.description.tableofcontents | 口試委員審定書 (i)
致謝 (ii) 中文摘要 (iii) Abstract (iv) Contents (v) List of Figures (vii) 1 Introduction (1) 2 Preliminary (4) 2.1 Introduction (4) 2.2 Scalar Field (4) 2.3 Hessian (8) 2.4 Ricci curvature (11) 2.5 Hessian of f (17) 3 Simplification of the Einstein field's equations (21) 4 Proof of main Theorem (29) 5 Conclustion (34) 5.1 ODE of B (34) 5.2 Relation to original system (35) 5.3 Coordinate transformation (36) Bibliography (37) | |
| dc.language.iso | en | |
| dc.subject | 愛因斯坦方程式 | zh_TW |
| dc.subject | Einstein | en |
| dc.title | 海森動量-能量張量的愛因斯坦方程式 | zh_TW |
| dc.title | Einstein field equations with Hessian energy-momentum tensor | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 105-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 張樹城,王業凱,蔡忠潤 | |
| dc.subject.keyword | 愛因斯坦方程式, | zh_TW |
| dc.subject.keyword | Einstein, | en |
| dc.relation.page | 37 | |
| dc.identifier.doi | 10.6342/NTU201701639 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2017-07-18 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| Appears in Collections: | 數學系 | |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| ntu-106-1.pdf Restricted Access | 512.85 kB | Adobe PDF |
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