簡易檢索 / 詳目顯示

回結果列表
研究生： 張皓淵
Chang, Hao-Yuan
論文名稱： 雙度規重力與膜的搜尋
Massive Bi-gravity and Brane Solution Searching
指導教授： 朱創新
Chu, Chong-Sun
口試委員: 耿朝強
陳江梅
學位類別： 碩士
Master
系所名稱： 理學院 - 物理學系
Department of Physics
論文出版年： 2017
畢業學年度： 105
語文別： 英文
論文頁數： 43
中文關鍵詞： 雙度規重力 、膜
外文關鍵詞： massive gravity, bi-gravity, brane solution, branes
相關次數： 點閱：3  下載：0 
分享至:
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報

    • 自廣義相對論的成功之後,我們依舊未完全解決重力領域的問題。雙度規重力 是眾多修改重力嘗試的其中之一。在本文中我們將回顧此理論之發展。另一方 面,超重力及弦論中存在稱做為膜的擴展物件。我們也將回顧其處理之過程。 最後,我們嘗試在雙度規重力框架下搜尋膜存在之可能性。

    In this thesis, we reviewed the field of massive gravity. We present the development from linearized Fierz-Pauli theory to massive bi-gravity. Some feature on brane solutions in supergravity theory is also reviewed. We applied the method to search for the possibility of brane in massive bi-gravity theory.

    1 Introduction 1 2 Massive Gravity 3 2.1 GeneralRelativityandFierz-PauliTheory . . . . . . . . . . . . . . 3 2.2 vDVZ discontinuity and Vainshtein Mechanism . . . . . . . . . . . 6 2.3 dRGTMassiveGravityandBi-gravity ................ 10 2.4 MaximallySymmetricSolution .................... 17 3 Brane Solution 20 3.1 FormFields............................... 20 3.2 Branes.................................. 22 3.3 Methods................................. 24 4 Brane Solution in Bi-gravity 31 4.1 TheModel................................ 31 4.2 BraneSolutionSearching........................ 33 5 Summary 36 Appendix 38 A.DerivingFieldEquationsindRGTTheory . . . . . . . . . . . . . . . 38 B.DifferentialForms............................. 40 Reference 42

    [1] M. Fierz and W. Pauli. On Relativistic Wave Equations for Particles of Arbi- trary Spin in an Electromagnetic Field, 1939, Proc.Roy.Soc.Lond. A173 (1939) 211-232; DOI: 10.1098/rspa.1939.0140
    [2] H. van Dam, M.J.G. Veltman. Massive and massless Yang-Mills and grav- itational fields, 1970, Nucl.Phys. B22 (1970) 397-411 DOI: 10.1016/0550- 3213(70)90416-5
    [3] V.I. Zakharov. Linearized gravitation theory and the graviton mass, 1970, JETP Lett. 12 (1970) 312, Pisma Zh.Eksp.Teor.Fiz. 12 (1970) 447-449
    [4] A.I. Vainshtein. To the problem of nonvanishing gravitation mass, 1972, Phys.Lett. 39B (1972) 393-394; DOI: 10.1016/0370-2693(72)90147-5
    [5] Eugeny Babichev and Cedric Deffayet. An introduction to the Vainshtein mechanism, 2013, Class. Quantum Grav. 30 (2013) 184001; arXiv:1304.7240. DOI: 10.1088/0264-9381/30/18/184001.
    [6] D.G. Boulware and Stanley Deser. Can gravitation have a finite range?, 1972, Phys.Rev. D6 (1972) 3368-3382; DOI: 10.1103/PhysRevD.6.3368
    [7] Claudia de Rham, Gregory Gabadadze and Andrew J. Tolley. Resummation of Massive Gravity, 2010, Phys.Rev.Lett.106:231101,2011; arXiv:1011.1232. DOI: 10.1103/PhysRevLett.106.231101.
    [8] Claudia de Rham. Massive Gravity, 2014, Living Rev. Relativity 17 (2014), 7; arXiv:1401.4173. DOI: 10.12942/lrr-2014-7.
    42
    [9] Kurt Hinterbichler. Theoretical Aspects of Massive Gravity, 2011, Rev. Mod. Phys. 84, 671-710 (2012); arXiv:1105.3735. DOI: 10.1103/RevModPhys. 84.671.
    [10] S. F. Hassan and Rachel A. Rosen. Bimetric Gravity from Ghost-free Massive Gravity, 2011; arXiv:1109.3515. DOI: 10.1007/JHEP02(2012)126.
    [11] K. S. Stelle. BPS Branes in Supergravity, 1998; arXiv:hep-th/9803116.
    [12] K. S. Stelle. Lectures on Supergravity p-branes, 1997; arXiv:hep-th/9701088.
    [13] S. F. Hassan and Rachel A. Rosen. Resolving the Ghost Problem in non- Linear Massive Gravity, 2011; arXiv:1106.3344. DOI: 10.1103/PhysRevLett. 108.041101.
    [14] S. F. Hassan and Rachel A. Rosen. Confirmation of the Secondary Constraint and Absence of Ghost in Massive Gravity and Bimetric Gravity, 2011; arXiv: 1111.2070. DOI: 10.1007/JHEP04(2012)123.
    [15] Alexey Golovnev. ADM analysis and massive gravity, 2013; arXiv:1302.0687.
    [16] S. F. Hassan, Rachel A. Rosen and Angnis Schmidt-May. Ghost-free Mas- sive Gravity with a General Reference Metric, 2011; arXiv:1109.3230. DOI: 10.1007/JHEP02(2012)026.
    [17] Mikhail S. Volkov. Hairy black holes in the ghost-free bigravity theory, 2012; arXiv:1202.6682. DOI: 10.1103/PhysRevD.85.124043.
    [18] C. W. Misner, K. S. Thorne and J. A. Wheeler, Gravitation, 1973; San Francisco 1973, 1279p; Section 20.2

    QR CODE