×

zbMATH — the first resource for mathematics

On modeling galaxy-scale strong lens systems. (English) Zbl 1197.83029
Summary: I review methods for modeling gravitational lens systems comprising multiple images of a background source surrounding a foreground galaxy. In a Bayesian framework, the likelihood is driven by the nature of the data, which in turn depends on whether the source is point-like or extended. The prior encodes astrophysical expectations about lens galaxy mass distributions, either through a careful choice of model families, or through an explicit Bayesian prior applied to under-constrained free-form models. We can think about different lens modeling methods in terms of their choices of likelihoods and priors.
MSC:
83C10 Equations of motion in general relativity and gravitational theory
85A05 Galactic and stellar dynamics
85A35 Statistical astronomy
62P35 Applications of statistics to physics
Software:
BayesDA; GAUDI
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Kochanek, C.S.: In: Meylan, G., Jetzer, P., North, P. (eds.) Saas-Fee Advanced Course 33: Gravitational Lensing: Strong, Weak and Micro, pp. 91–268 (2006)
[2] Courbin F., Saha P., Schechter P.L.: In: Courbin, F., Minniti, D. (eds.) Gravitational Lensing: An Astrophysical Tool, Lecture Notes in Physics, vol. 608, pp. 1–54. Springer-Verlag, Berlin (2002)
[3] Courbin, F.: Preprint. arXiv:astro-ph/0304497 (2003)
[4] Schechter, P.L.: In: Mellier, Y., Meylan, G. (eds.) Gravitational Lensing Impact on Cosmology, IAU Symposium, vol. 225, pp. 281–296 (2005). doi: 10.1017/S1743921305002085
[5] Koopmans, L.V.E.: In: Davies, J., Disney, M. (eds.) IAU Symposium, vol. 244, pp. 196–205 (2008). doi: 10.1017/S1743921307013993
[6] Bartelmann M.: Applications of Gravitational Lensing in Cosmology, pp. 213–256. Springer-Verlag, Berlin (2006)
[7] Kneib, J.: In: Plionis, M., López-Cruz, O., Hughes, D. (eds.) A Pan-Chromatic View of Clusters of Galaxies and the Large-Scale Structure, Lecture Notes in Physics, vol. 740, pp. 213–253. Springer-Verlag, Berlin (2008)
[8] Schneider P., Ehlers J., Falco E.E.: Gravitational Lenses. Springer-Verlag, Berlin (1992)
[9] Petters A.O., Levine H., Wambsganss J.: Singularity Theory and Gravitational Lensing. Birkhäuser, Boston (2001) · Zbl 0979.83001
[10] Schramm T.: Astron. Astrophys. 231, 19 (1990)
[11] Keeton, C.R.: Preprint. arXiv:astro-ph/0102341 (2001)
[12] van de Ven G., Mandelbaum R., Keeton C.R.: Mon. Not. R. Astron. Soc. 398, 607 (2009). doi: 10.1111/j.1365-2966.2009.15167.x · doi:10.1111/j.1365-2966.2009.15167.x
[13] Gelman A.B., Carlin J.S., Stern H.S., Rubin D.B.: Bayesian Data Analysis. Chapman & Hall/CRC, Boca Raton (1995)
[14] Press W.H., Teukolsky S.A., Vetterling W.T., Flannery B.P.: Numerical Recipes in C: The Art of Scientific Computing, 2nd edn. Cambridge University Press, Cambridge (1992) · Zbl 0845.65001
[15] Skilling, J.: In: Fischer, R., Preuss, R., Toussaint, U.V. (eds.) American Institute of Physics Conference Series, vol. 735, pp. 395–405 (2004). doi: 10.1063/1.1835238
[16] Mukherjee P., Parkinson D., Liddle A.R.: Astrophys. J. Lett. 638, L51 (2006). doi: 10.1086/501068 · doi:10.1086/501068
[17] Rhie, S.H.: Preprint. arXiv:astro-ph/0103463 (2001)
[18] Khavinson D., Neumann G.: Proc AMS 134, 1077 (2006) · Zbl 1090.30008 · doi:10.1090/S0002-9939-05-08058-5
[19] An J.H., Evans N.W.: Mon. Not. R. Astron. Soc. 369, 317 (2006). doi: 10.1111/j.1365-2966.2006.10303.x · doi:10.1111/j.1365-2966.2006.10303.x
[20] Fassnacht, C.D., Keeton, C.R., Khavinson, D.: Preprint. arXiv:0708.2684 (2007)
[21] Khavinson,D., Lundberg, E.: Preprint. arXiv:0908.3310 (2009)
[22] Bergweiler, W., Eremenko, A.: Preprint. arXiv:0908.4595 (2009)
[23] Blandford R.D., Kochanek C.S.: Astrophys. J. 321, 658 (1987). doi: 10.1086/165660 · doi:10.1086/165660
[24] Kochanek C.S., Blandford R.D.: Astrophys. J. 321, 676 (1987). doi: 10.1086/165661 · doi:10.1086/165661
[25] Keeton, C.R.: Preprint. arXiv:astro-ph/0102340 (2001)
[26] Shewchuk, J.R.: In: Lin, M.C., Manocha, D. (eds.) Applied Computational Geometry: Towards Geometric Engineering, Lecture Notes in Computer Science, vol. 1148, pp. 203–222. From the First ACM Workshop on Applied Computational Geometry. Springer-Verlag, Berlin (1996)
[27] Shewchuk J.R.: Comput. Geometry 22(1–3), 21 (2002). doi: 10.1016/S0925-7721(01)00047-5 · Zbl 1016.68139 · doi:10.1016/S0925-7721(01)00047-5
[28] Kochanek C.S.: Astrophys. J. 373, 354 (1991). doi: 10.1086/170057 · doi:10.1086/170057
[29] Saha P., Williams L.L.R.: Astron. J. 125, 2769 (2003). doi: 10.1086/375204 · doi:10.1086/375204
[30] Linder E.V.: Phys. Rev. D 70(4), 043534 (2004). doi: 10.1103/PhysRevD.70.043534 · doi:10.1103/PhysRevD.70.043534
[31] Coe D., Moustakas L.A.: Astrophys. J. 706, 45 (2009). doi: 10.1088/0004-637X/706/1/45 · doi:10.1088/0004-637X/706/1/45
[32] LSST Science Collaborations: LSST Science Book, Version 2.0. LSST Corporation, Tucson (2009)
[33] Keeton C.R., Gaudi B.S., Petters A.O.: Astrophys. J. 598, 138 (2003). doi: 10.1086/378934 · doi:10.1086/378934
[34] Oguri M.: Astrophys. J. 660, 1 (2007). doi: 10.1086/513093 · doi:10.1086/513093
[35] Keeton C.R., Gaudi B.S., Petters A.O.: Astrophys. J. 635, 35 (2005). doi: 10.1086/497324 · doi:10.1086/497324
[36] Congdon A.B., Keeton C.R., Nordgren C.E.: Astrophys. J. 709, 552 (2010) · doi:10.1088/0004-637X/709/2/552
[37] Williams L.L.R., Foley P., Farnsworth D., Belter J.: Astrophys. J. 685, 725 (2008). doi: 10.1086/591227 · doi:10.1086/591227
[38] Blandford, R., Surpi, G., Kundić, T.: In: Brainerd, T.G., Kochanek, C.S. (eds.) Gravitational Lensing: Recent Progress and Future Goals, Astronomical Society of the Pacific Conference Series, vol. 237, pp. 65–74 (2001)
[39] Suyu S.H., Blandford R.D.: Mon. Not. R. Astron. Soc. 366, 39 (2006). doi: 10.1111/j.1365-2966.2005.09854.x
[40] Kochanek C.S., Keeton C.R., McLeod B.A.: Astrophys. J. 547, 50 (2001). doi: 10.1086/318350 · doi:10.1086/318350
[41] Koopmans L.V.E., Treu T., Fassnacht C.D., Blandford R.D., Surpi G.: Astrophys. J. 599, 70 (2003). doi: 10.1086/379226 · doi:10.1086/379226
[42] Yoo J., Kochanek C.S., Falco E.E., McLeod B.A.: Astrophys. J. 626, 51 (2005). doi: 10.1086/429959 · doi:10.1086/429959
[43] Yoo J., Kochanek C.S., Falco E.E., McLeod B.A.: Astrophys. J. 642, 22 (2006). doi: 10.1086/500968 · doi:10.1086/500968
[44] Kochanek C.S., Narayan R.: Astrophys. J. 401, 461 (1992). doi: 10.1086/172078 · doi:10.1086/172078
[45] Ellithorpe J.D., Kochanek C.S., Hewitt J.N.: Astrophys. J. 464, 556 (1996). doi: 10.1086/177346 · doi:10.1086/177346
[46] Wucknitz O.: Mon. Not. R. Astron. Soc. 349, 1 (2004). doi: 10.1111/j.1365-2966.2004.07513.x · doi:10.1111/j.1365-2966.2004.07513.x
[47] Wallington S., Kochanek C.S., Koo D.C.: Astrophys. J. 441, 58 (1995). doi: 10.1086/175335 · doi:10.1086/175335
[48] Wallington S., Narayan R., Kochanek C.S.: Astrophys. J. 426, 60 (1994). doi: 10.1086/174039 · doi:10.1086/174039
[49] Wallington S., Kochanek C.S., Narayan R.: Astrophys. J. 465, 64 (1996). doi: 10.1086/177401 · doi:10.1086/177401
[50] Wayth R.B., Webster R.L.: Mon. Not. R. Astron. Soc. 372, 1187 (2006). doi: 10.1111/j.1365-2966.2006.10922.x · doi:10.1111/j.1365-2966.2006.10922.x
[51] Warren S.J., Dye S.: Astrophys. J. 590, 673 (2003). doi: 10.1086/375132 · doi:10.1086/375132
[52] Dye S., Warren S.J.: Astrophys. J. 623, 31 (2005). doi: 10.1086/428340 · doi:10.1086/428340
[53] Treu T., Koopmans L.V.E.: Astrophys. J. 611, 739 (2004). doi: 10.1086/422245 · doi:10.1086/422245
[54] Suyu S.H., Marshall P.J., Hobson M.P., Blandford R.D.: Mon. Not. R. Astron. Soc. 371, 983 (2006). doi: 10.1111/j.1365-2966.2006.10733.x · doi:10.1111/j.1365-2966.2006.10733.x
[55] Koopmans L.V.E.: Mon. Not. R. Astron. Soc. 363, 1136 (2005). doi: 10.1111/j.1365-2966.2005.09523.x · doi:10.1111/j.1365-2966.2005.09523.x
[56] Vegetti S., Koopmans L.V.E.: Mon. Not. R. Astron. Soc. 392, 945 (2009). doi: 10.1111/j.1365-2966.2008.14005.x · doi:10.1111/j.1365-2966.2008.14005.x
[57] Keeton C.R., Kochanek C.S.: Astrophys. J. 487, 42 (1997). doi: 10.1086/304583 · doi:10.1086/304583
[58] Saha P.: Astron. J. 120, 1654 (2000). doi: 10.1086/301581 · doi:10.1086/301581
[59] Kochanek C.S.: Astrophys. J. 578, 25 (2002). doi: 10.1086/342476 · doi:10.1086/342476
[60] Cohn J.D., Kochanek C.S., McLeod B.A., Keeton C.R.: Astrophys. J. 554, 1216 (2001). doi: 10.1086/321412 · doi:10.1086/321412
[61] Kochanek C.S., Morgan N.D., Falco E.E., McLeod B.A., Winn J.N., Dembicky J., Ketzeback B.: Astrophys. J. 640, 47 (2006). doi: 10.1086/499766 · doi:10.1086/499766
[62] Koopmans L.V.E., Bolton A., Treu T., Czoske O., Auger M.W., Barnabè M., Vegetti S., Gavazzi R., Moustakas L.A., Burles S.: Astrophys. J. Lett. 703, L51 (2009). doi: 10.1088/0004-637X/703/1/L51 · doi:10.1088/0004-637X/703/1/L51
[63] Fadely R., Keeton C.R., Nakajima R., Bernstein G.M.: Astrophys. J. 711, 246 (2010) · doi:10.1088/0004-637X/711/1/246
[64] Keeton C.R., Kochanek C.S., Seljak U.: Astrophys. J. 482, 604 (1997). doi: 10.1086/304172 · doi:10.1086/304172
[65] Mao S., Schneider P.: Mon. Not. R. Astron. Soc. 295, 587 (1998). doi: 10.1046/j.1365-8711.1998.01319.x · doi:10.1046/j.1365-8711.1998.01319.x
[66] Metcalf R.B., Madau P.: Astrophys. J. 563, 9 (2001). doi: 10.1086/323695 · doi:10.1086/323695
[67] Chiba M.: Astrophys. J. 565, 17 (2002). doi: 10.1086/324493 · doi:10.1086/324493
[68] Dalal N., Kochanek C.S.: Astrophys. J. 572, 25 (2002). doi: 10.1086/340303 · doi:10.1086/340303
[69] Momcheva I., Williams K., Keeton C., Zabludoff A.: Astrophys. J. 641, 169 (2006). doi: 10.1086/500382 · doi:10.1086/500382
[70] Fassnacht C.D., Gal R.R., Lubin L.M., McKean J.P., Squires G.K., Readhead A.C.S.: Astrophys. J. 642, 30 (2006). doi: 10.1086/500927 · doi:10.1086/500927
[71] Falco E.E., Gorenstein M.V., Shapiro I.I.: Astrophys. J. Lett. 289, L1 (1985). doi: 10.1086/184422 · doi:10.1086/184422
[72] Gorenstein M.V., Shapiro I.I., Falco E.E.: Astrophys. J. 327, 693 (1988). doi: 10.1086/166226 · doi:10.1086/166226
[73] Kochanek C.S.: Astrophys. J. 382, 58 (1991). doi: 10.1086/170693 · doi:10.1086/170693
[74] Keeton C.R., Zabludoff A.I.: Astrophys. J. 612, 660 (2004). doi: 10.1086/422745 · doi:10.1086/422745
[75] Koopmans L.V.E., Treu T., Bolton A.S., Burles S., Moustakas L.A.: Astrophys. J. 649, 599 (2006). doi: 10.1086/505696 · doi:10.1086/505696
[76] Evans N.W., Witt H.J.: Mon. Not. R. Astron. Soc. 327, 1260 (2001). doi: 10.1046/j.1365-8711.2001.04826.x · doi:10.1046/j.1365-8711.2001.04826.x
[77] Evans N.W., Witt H.J.: Mon. Not. R. Astron. Soc. 345, 1351 (2003). doi: 10.1046/j.1365-2966.2003.07057.x · doi:10.1046/j.1365-2966.2003.07057.x
[78] Kawano Y., Oguri M., Matsubara T., Ikeuchi S.: Publ. Astron. Soc. Jpn. 56, 253 (2004)
[79] Congdon A.B., Keeton C.R.: Mon. Not. R. Astron. Soc. 364, 1459 (2005). doi: 10.1111/j.1365-2966.2005.09699.x · doi:10.1111/j.1365-2966.2005.09699.x
[80] Trotter C.S., Winn J.N., Hewitt J.N.: Astrophys. J. 535, 671 (2000). doi: 10.1086/308861 · doi:10.1086/308861
[81] Ros E., Guirado J.C., Marcaide J.M., Pérez-Torres M.A., Falco E.E., Muñoz J.A., Alberdi A., Lara L.: Astron. Astrophys. 362, 845 (2000)
[82] Saha P., Williams L.L.R.: Mon. Not. R. Astron. Soc. 292, 148 (1997)
[83] Williams L.L.R., Saha P.: Astron. J. 119, 439 (2000). doi: 10.1086/301234 · doi:10.1086/301234
[84] Saha P., Williams L.L.R.: Astron. J. 127, 2604 (2004). doi: 10.1086/383544 · doi:10.1086/383544
[85] Williams L.L.R., Saha P.: Astron. J. 128, 2631 (2004). doi: 10.1086/426007 · doi:10.1086/426007
[86] Ferreras I., Saha P., Williams L.L.R.: Astrophys. J. Lett. 623, L5 (2005). doi: 10.1086/429995 · doi:10.1086/429995
[87] Saha P., Coles J., Macciò A.V., Williams L.L.R.: Astrophys. J. Lett. 650, L17 (2006). doi: 10.1086/507583 · doi:10.1086/507583
[88] Saha P., Courbin F., Sluse D., Dye S., Meylan G.: Astron. Astrophys. 450, 461 (2006). doi: 10.1051/0004-6361:20052929 · doi:10.1051/0004-6361:20052929
[89] Saha P., Williams L.L.R., Ferreras I.: Astrophys. J. 663, 29 (2007). doi: 10.1086/518083 · doi:10.1086/518083
[90] Read J.I., Saha P., Macciò A.V.: Astrophys. J. 667, 645 (2007). doi: 10.1086/520714 · doi:10.1086/520714
[91] Ferreras I., Saha P., Burles S.: Mon. Not. R. Astron. Soc. 383, 857 (2008). doi: 10.1111/j.1365-2966.2007.12606.x · doi:10.1111/j.1365-2966.2007.12606.x
[92] Suyu S.H., Marshall P.J., Blandford R.D., Fassnacht C.D., Koopmans L.V.E., McKean J.P., Treu T.: Astrophys. J. 691, 277 (2009). doi: 10.1088/0004-637X/691/1/277 · doi:10.1088/0004-637X/691/1/277
[93] Suyu S.H., Marshall P.J., Auger M.W., Hilbert S., Blandford R.D., Koopmans L.V.E., Fassnacht C.D., Treu T.: Astrophys. J. 711, 201 (2010) · doi:10.1088/0004-637X/711/1/201
[94] Vegetti S., Koopmans L.V.E.: Mon. Not. R. Astron. Soc. 400, 1583 (2009). doi: 10.1111/j.1365-2966.2009.15559.x · doi:10.1111/j.1365-2966.2009.15559.x
[95] Vegetti, S., Koopmans, L.V.E., Bolton, A., Treu, T., Gavazzi, R.: Preprint. arXiv:0910.0760 (2009)
[96] Congdon A.B., Keeton C.R., Nordgren C.E.: Mon. Not. R. Astron. Soc. 389, 398 (2008). doi: 10.1111/j.1365-2966.2008.13604.x · doi:10.1111/j.1365-2966.2008.13604.x
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.