Microlensing and Variability towards M31 [Elektronische Ressource] / Chien-Hsiu Lee. Betreuer: Ralf Bender

MICROLENSING AND VARIABILITYTOWARDS M31Chien-Hsiu LeeMICROLENSING AND VARIABILITYTOWARDS M31Dissertationan derLudwig–Maximilians–Universita¨t (LMU) Mu¨nchenPh.D. Thesisat theLudwig–Maximilians University (LMU) Munichsubmitted byChien-Hsiu Leethborn on 11 Janurary 1982 in TaoyuanstMunich, 1 June 2011st1 Evaluator: Prof. Dr. Ralf Bendernd2 Evaluator: Prof. Dr. Jochen WellerthDate of the oral exam: 15 July 2011ContentsContents viiList of Figures xviList of Tables xviiZusammenfassung xviiiAbstract xix1 Introduction 11.1 Content of the universe . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11.2 Searching for dark matter with microlensing . . . . . . . . . . . . . . . . . . . . . . 41.3 Microlensing basics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61.4 Breaking the microlensing degeneracy . . . . . . . . . . . . . . . . . . . . . . . . . 81.5 Microlensing in the pixel-lensing regime . . . . . . . . . . . . . . . . . . . . . . . . 122 Finite Source Effects in Microlensing: A Precise, Easy to Implement, Fast and NumericalStable Formalism 152.1 Abstract . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152.2 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152.3 The finite-source microlensing equation . . . . . . . . . . . . . . . . . . . . . . . . 162.4 Finite source with limb darkening . . . . . . . . . . . . . . . . . . . .