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Gravitational Lenses [[electronic resource] /] / by Peter Schneider, Jürgen Ehlers, Emilio E. Falco
| Gravitational Lenses [[electronic resource] /] / by Peter Schneider, Jürgen Ehlers, Emilio E. Falco |
| Autore | Schneider Peter |
| Edizione | [1st ed. 1992.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 |
| Descrizione fisica | 1 online resource (XIV, 560 p.) |
| Disciplina | 530.1 |
| Collana | Astronomy and Astrophysics Library |
| Soggetto topico |
Gravitation
Observations, Astronomical Astronomy—Observations Astrophysics Physics Geophysics Classical and Quantum Gravitation, Relativity Theory Astronomy, Observations and Techniques Astrophysics and Astroparticles Mathematical Methods in Physics Numerical and Computational Physics, Simulation Geophysics/Geodesy |
| ISBN | 1-4612-2756-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 1.1 Historical remarks -- 1.2 Outline of the book -- 1.3 Remarks about notation -- 2. Basic facts and the observational situation -- 2.1 The Schwarzschild lens -- 2.2 The general lens -- 2.3 The magnification factor -- 2.4 Observing gravitational lens systems -- 2.5 Known gravitational lens systems -- 3. Optics in curved spacetime -- 3.1 The vacuum Maxwell equations -- 3.2 Locally approximately plane waves -- 3.3 Fermat’s principle -- 3.4 Geometry of ray bundles -- 3.5 Distances based on light rays. Caustics -- 3.6 Luminosity, flux and intensity -- 4. Derivation of the lens equation -- 4.1 Einstein’s gravitational field equation -- 4.2 Approximate metrics of isolated, slowly moving, non-compact matter distributions -- 4.3 Light deflection by quasistationary, isolated mass distributions -- 4.4 Summary of Friedmann-Lemaître cosmological models -- 4.5 Light propagation and redshift-distance relations in homogeneous and inhomogeneous model universes -- 4.6 The lens mapping in cosmology -- 4.7 Wave optics in lens theory -- 5. Properties of the lens mapping -- 5.1 Basic equations of the lens theory -- 5.2 Magnification and critical curves -- 5.3 Time delay and Fermat’s principle -- 5.4 Two general theorems about gravitational lensing -- 5.5 The topography of time delay (Fermat) surfaces -- 6. Lensing near critical points -- 6.1 The lens mapping near ordinary images -- 6.2 Stable singularities of lens mappings -- 6.3 Stable singularities of one-parameter families of lens mappings; metamorphoses -- 6.4 Magnification of extended sources near folds -- 7. Wave optics in gravitational lensing -- 7.1 Preliminaries; magnification of ordinary images -- 7.2 Magnification near isolated caustic points -- 7.3 Magnification near fold catastrophes -- 8. Simple lens models -- 8.1 Axially symmetric lenses -- 8.2 Lenses with perturbed symmetry (Quadrupole lenses) -- 8.3 The two point-mass lens -- 8.4 Lenses with elliptical symmetry -- 8.5 Marginal lenses -- 8.6 Generic properties of “elliptical lenses” -- 9. Multiple light deflection -- 9.1 The multiple lens-plane theory -- 9.2 Time delay and Fermat’s principle -- 9.3 The generalized quadrupole lens -- 10. Numerical methods -- 10.1 Roots of one-dimensional equations -- 10.2 Images of extended sources -- 10.3 Interactive methods for model fitting -- 10.4 Grid search methods -- 10.5 Transport of images -- 10.6 Ray shooting -- 10.7 Constructing lens and source models from resolved images -- 11. Statistical gravitational lensing: General considerations -- 11.1 Cross-sections -- 11.2 The random star field -- 11.3 Probabilities in a clumpy universe -- 11.4 Light propagation in inhomogeneous universes -- 11.5 Maximum probabilities -- 12. Statistical gravitational lensing: Applications -- 12.1 Amplification bias and the luminosity function of QSOs -- 12.2 Statistics of multiply imaged sources -- 12.3 QSO-galaxy associations -- 12.4 Microlensing: Astrophysical discussion -- 12.5 The amplification bias: Detailed discussion -- 12.6 Distortion of images -- 12.7 Lensing of supernovae -- 12.8 Further applications of statistical lensing -- 13. Gravitational lenses as astrophysical tools -- 13.1 Estimation of model parameters -- 13.2 Arcs in clusters of galaxies -- 13.3 Additional applications -- 13.4 Miscellaneous topics -- References -- Index of Individual Objects. |
| Record Nr. | UNINA-9910480296203321 |
Schneider Peter
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Gravitational Lenses [[electronic resource] /] / by Peter Schneider, Jürgen Ehlers, Emilio E. Falco
| Gravitational Lenses [[electronic resource] /] / by Peter Schneider, Jürgen Ehlers, Emilio E. Falco |
| Autore | Schneider Peter |
| Edizione | [1st ed. 1992.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 |
| Descrizione fisica | 1 online resource (XIV, 560 p.) |
| Disciplina | 530.1 |
| Collana | Astronomy and Astrophysics Library |
| Soggetto topico |
Gravitation
Observations, Astronomical Astronomy—Observations Astrophysics Physics Geophysics Classical and Quantum Gravitation, Relativity Theory Astronomy, Observations and Techniques Astrophysics and Astroparticles Mathematical Methods in Physics Numerical and Computational Physics, Simulation Geophysics/Geodesy |
| ISBN | 1-4612-2756-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 1.1 Historical remarks -- 1.2 Outline of the book -- 1.3 Remarks about notation -- 2. Basic facts and the observational situation -- 2.1 The Schwarzschild lens -- 2.2 The general lens -- 2.3 The magnification factor -- 2.4 Observing gravitational lens systems -- 2.5 Known gravitational lens systems -- 3. Optics in curved spacetime -- 3.1 The vacuum Maxwell equations -- 3.2 Locally approximately plane waves -- 3.3 Fermat’s principle -- 3.4 Geometry of ray bundles -- 3.5 Distances based on light rays. Caustics -- 3.6 Luminosity, flux and intensity -- 4. Derivation of the lens equation -- 4.1 Einstein’s gravitational field equation -- 4.2 Approximate metrics of isolated, slowly moving, non-compact matter distributions -- 4.3 Light deflection by quasistationary, isolated mass distributions -- 4.4 Summary of Friedmann-Lemaître cosmological models -- 4.5 Light propagation and redshift-distance relations in homogeneous and inhomogeneous model universes -- 4.6 The lens mapping in cosmology -- 4.7 Wave optics in lens theory -- 5. Properties of the lens mapping -- 5.1 Basic equations of the lens theory -- 5.2 Magnification and critical curves -- 5.3 Time delay and Fermat’s principle -- 5.4 Two general theorems about gravitational lensing -- 5.5 The topography of time delay (Fermat) surfaces -- 6. Lensing near critical points -- 6.1 The lens mapping near ordinary images -- 6.2 Stable singularities of lens mappings -- 6.3 Stable singularities of one-parameter families of lens mappings; metamorphoses -- 6.4 Magnification of extended sources near folds -- 7. Wave optics in gravitational lensing -- 7.1 Preliminaries; magnification of ordinary images -- 7.2 Magnification near isolated caustic points -- 7.3 Magnification near fold catastrophes -- 8. Simple lens models -- 8.1 Axially symmetric lenses -- 8.2 Lenses with perturbed symmetry (Quadrupole lenses) -- 8.3 The two point-mass lens -- 8.4 Lenses with elliptical symmetry -- 8.5 Marginal lenses -- 8.6 Generic properties of “elliptical lenses” -- 9. Multiple light deflection -- 9.1 The multiple lens-plane theory -- 9.2 Time delay and Fermat’s principle -- 9.3 The generalized quadrupole lens -- 10. Numerical methods -- 10.1 Roots of one-dimensional equations -- 10.2 Images of extended sources -- 10.3 Interactive methods for model fitting -- 10.4 Grid search methods -- 10.5 Transport of images -- 10.6 Ray shooting -- 10.7 Constructing lens and source models from resolved images -- 11. Statistical gravitational lensing: General considerations -- 11.1 Cross-sections -- 11.2 The random star field -- 11.3 Probabilities in a clumpy universe -- 11.4 Light propagation in inhomogeneous universes -- 11.5 Maximum probabilities -- 12. Statistical gravitational lensing: Applications -- 12.1 Amplification bias and the luminosity function of QSOs -- 12.2 Statistics of multiply imaged sources -- 12.3 QSO-galaxy associations -- 12.4 Microlensing: Astrophysical discussion -- 12.5 The amplification bias: Detailed discussion -- 12.6 Distortion of images -- 12.7 Lensing of supernovae -- 12.8 Further applications of statistical lensing -- 13. Gravitational lenses as astrophysical tools -- 13.1 Estimation of model parameters -- 13.2 Arcs in clusters of galaxies -- 13.3 Additional applications -- 13.4 Miscellaneous topics -- References -- Index of Individual Objects. |
| Record Nr. | UNINA-9910789219703321 |
|
Schneider Peter
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Gravitational Lenses / / by Peter Schneider, Jürgen Ehlers, Emilio E. Falco
| Gravitational Lenses / / by Peter Schneider, Jürgen Ehlers, Emilio E. Falco |
| Autore | Schneider Peter |
| Edizione | [1st ed. 1992.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 |
| Descrizione fisica | 1 online resource (XIV, 560 p.) |
| Disciplina | 530.1 |
| Collana | Astronomy and Astrophysics Library |
| Soggetto topico |
Gravitation
Observations, Astronomical Astronomy—Observations Astrophysics Physics Geophysics Classical and Quantum Gravitation, Relativity Theory Astronomy, Observations and Techniques Astrophysics and Astroparticles Mathematical Methods in Physics Numerical and Computational Physics, Simulation Geophysics/Geodesy |
| ISBN | 1-4612-2756-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 1.1 Historical remarks -- 1.2 Outline of the book -- 1.3 Remarks about notation -- 2. Basic facts and the observational situation -- 2.1 The Schwarzschild lens -- 2.2 The general lens -- 2.3 The magnification factor -- 2.4 Observing gravitational lens systems -- 2.5 Known gravitational lens systems -- 3. Optics in curved spacetime -- 3.1 The vacuum Maxwell equations -- 3.2 Locally approximately plane waves -- 3.3 Fermat’s principle -- 3.4 Geometry of ray bundles -- 3.5 Distances based on light rays. Caustics -- 3.6 Luminosity, flux and intensity -- 4. Derivation of the lens equation -- 4.1 Einstein’s gravitational field equation -- 4.2 Approximate metrics of isolated, slowly moving, non-compact matter distributions -- 4.3 Light deflection by quasistationary, isolated mass distributions -- 4.4 Summary of Friedmann-Lemaître cosmological models -- 4.5 Light propagation and redshift-distance relations in homogeneous and inhomogeneous model universes -- 4.6 The lens mapping in cosmology -- 4.7 Wave optics in lens theory -- 5. Properties of the lens mapping -- 5.1 Basic equations of the lens theory -- 5.2 Magnification and critical curves -- 5.3 Time delay and Fermat’s principle -- 5.4 Two general theorems about gravitational lensing -- 5.5 The topography of time delay (Fermat) surfaces -- 6. Lensing near critical points -- 6.1 The lens mapping near ordinary images -- 6.2 Stable singularities of lens mappings -- 6.3 Stable singularities of one-parameter families of lens mappings; metamorphoses -- 6.4 Magnification of extended sources near folds -- 7. Wave optics in gravitational lensing -- 7.1 Preliminaries; magnification of ordinary images -- 7.2 Magnification near isolated caustic points -- 7.3 Magnification near fold catastrophes -- 8. Simple lens models -- 8.1 Axially symmetric lenses -- 8.2 Lenses with perturbed symmetry (Quadrupole lenses) -- 8.3 The two point-mass lens -- 8.4 Lenses with elliptical symmetry -- 8.5 Marginal lenses -- 8.6 Generic properties of “elliptical lenses” -- 9. Multiple light deflection -- 9.1 The multiple lens-plane theory -- 9.2 Time delay and Fermat’s principle -- 9.3 The generalized quadrupole lens -- 10. Numerical methods -- 10.1 Roots of one-dimensional equations -- 10.2 Images of extended sources -- 10.3 Interactive methods for model fitting -- 10.4 Grid search methods -- 10.5 Transport of images -- 10.6 Ray shooting -- 10.7 Constructing lens and source models from resolved images -- 11. Statistical gravitational lensing: General considerations -- 11.1 Cross-sections -- 11.2 The random star field -- 11.3 Probabilities in a clumpy universe -- 11.4 Light propagation in inhomogeneous universes -- 11.5 Maximum probabilities -- 12. Statistical gravitational lensing: Applications -- 12.1 Amplification bias and the luminosity function of QSOs -- 12.2 Statistics of multiply imaged sources -- 12.3 QSO-galaxy associations -- 12.4 Microlensing: Astrophysical discussion -- 12.5 The amplification bias: Detailed discussion -- 12.6 Distortion of images -- 12.7 Lensing of supernovae -- 12.8 Further applications of statistical lensing -- 13. Gravitational lenses as astrophysical tools -- 13.1 Estimation of model parameters -- 13.2 Arcs in clusters of galaxies -- 13.3 Additional applications -- 13.4 Miscellaneous topics -- References -- Index of Individual Objects. |
| Record Nr. | UNINA-9910817242903321 |
|
Schneider Peter
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||