黃偉彥臺灣大學：物理研究所田雍Tian, YongYongTian2007-11-262018-06-282007-11-262018-06-282005http://ntur.lib.ntu.edu.tw//handle/246246/54546修改牛頓力學(MOND)是一種暗物質的替代理論，為了要解釋銀河系中有缺少的質量。而MOND的典範現在可以包含在貝肯斯坦先生所提出的相對論性重力理論中。這個理論和廣義相對論及其他傳統的重力理論中。我們要做的是計算這個理論的重利透鏡的公式同時從觀測資料上檢驗這個理論。The modified Newtonian dynamics (MOND) is an alternative to Dark Matter in order to explain “missing mass” problems. This MOND paradigm can be included in a relativistic gravitational theory proposed by Bekenstein now. This theory has different gravitational lensing effects from GR or other conventional theories. We want to calculate its lensing formula and test it with observation data.1 Introduction 5 2 Theoretic Aspects of MOND 7 2.1 AQUAL: nonrelativistic field reformulation of MOND . . . . . . 7 2.2 TeVe S: relativistic gravitational theory of MOND . . . . . . . . 8 2.2.1 Fields and actions . . . . . . . . . . . . . . . . . . . . . . 8 2.2.2 Basic equations . . . . . . . . . . . . . . . . . . . . . . . . 9 2.2.3 The choice of F . . . . . . . . . . . . . . . . . . . . . . . . 10 2.2.4 Success of TeVe S . . . . . . . . . . . . . . . . . . . . . . 12 3 Gravitational lensing in TeVe S 17 3.1 Deflection angle in terms of potential . . . . . . . . . . . . . . . . 17 3.2 Deflection angle in terms of mass . . . . . . . . . . . . . . . . . . 18 3.2.1 The relation between scalar field and mass . . . . . . . . . 19 3.2.2 Two limit of the deflection angle . . . . . . . . . . . . . . 20 3.3 Deflection angle in terms of angles . . . . . . . . . . . . . . . . . 21 4 Discussion 23 A The second way to the deflection angle in terms of mass 251041946 bytesapplication/pdfen-US修改牛頓力學重力透鏡GravityTeVeSLensingMONDthesishttp://ntur.lib.ntu.edu.tw/bitstream/246246/54546/1/ntu-94-R91222053-1.pdf