M.Sc. (Physics) Optional Papers in A & A  Sample SyllabusInterUniversity Centre for Astronomy and Astrophysics (IUCAA), Pune ASTRONOMY and ASTROPHYSICS, Special Paper I Module I: Solar System and Stars
Module II: Stellar Structure and Evolution
Tutorials will involve problem solving on the topics of the course. Laboratory Experiments: 1. Polar aligning a telescope and measuring declination of Polaris. Text books: 1. Modern Astrophysics, B. W. Carroll and D. A. Ostlie, AddisonWesley Publishing Co. Other books: 1. The Physical Universe: An Introduction to Astronomy, F. Shu, Mill Valley : University Science Books.
ASTRONOMY and ASTROPHYSICS, Special Paper II

1. Radiative processes in astrophysics  10 lectures  
Synchrotron emission  for a single particle  for an ensemble of electrons Energy loss and electron spectrum Compton scattering Multiple Compton scattering Bremstrahlung Thermal bremstrahlung 

2. Binary stars  7 lectures  
White dwarf binaries Neutron star and black hole binaries HulseTaylor binary pulsar 

3. Accretion discs  5 lectures  
Thin accretion discs Thick accretion discs Accretion discs in binaries Accretion discs in galactic nuclei 

Module II: Galaxies
1. The Milky Way Galaxy  5 lectures  
Distribution of stars Morphology Kinematics Interstellar medium Galactic Centre 

2. Nature of galaxies  4 lectures  
Hubble sequence Spirals and irregular galaxies Spiral structure Elliptical galaxies 

3. Galactic evolution  4 lectures  
Interaction of galaxies Formation of galaxies 

4. Structure of the universe  5 lectures  
Extragalactic distance scale Expansion of the universe Clusters of galaxies 

5. Active galaxies and quasistellar objects  5 lectures  
Observations Unified model Radio lobes and jets Using QSOs to probe the universe Gamma ray bursts 

Tutorials will involve problem solving on the topics of the course.
Text books:
1. Quasars and Active Galactic Nuclei, A. K. Kembhavi and J. V. Narlikar, Cambridge University Press.
2. Modern Astrophysics, B. W. Carroll and D. A. Ostlie, AddisonWesley Publishing Co.
3. Introductory Astronomy & Astrophysics, M. Zeilik and S. A. Gregory, 4th edition, Saunders College Publishing.
4. Theoretical Astrophysics, Vol I:Astrophysical Processes, T. Padmanabhan, Cambridge University Press.
Other books:
1. The Physical Universe: An Introduction to Astronomy, F. Shu, Mill Valley : University Science Books.
2. Textbook of Astronomy and Astrophysics with Elements of Cosmology, V. B. Bhatia, PbNew Delhi, Narosa Publishing House.
3. The New Cosmos, A. Unsold and B. Baschek, New York:Springer Verlag.
4. Introduction to Cosmology, J. V. Narlikar, 3rd edition, Cambridge University Press.
5. Structure Formation in the Universe, T. Padmanabhan,Cambridge University Press.
ASTRONOMY and ASTROPHYSICS, Special Paper III
Module I: General Relativity (GR)
1. Overview of special relativity  4 lectures  
Principles of special relativity Line interval Proper time Lorentz transformation Minkowski spacetime Lightcones Relativistic momentum 4vectors Lorentz transformation of electromagnetic field 

2. Conceptual foundations of GR and curved spacetime  12 lectures  
Principle of equivalence Connection between gravity and geometry Form of metric in Newtonian limit Metric tensor and its properties Concept of curved spaces and spacetimes Tangent space and four vectors Tensor algebra Tensor calculus Covariant differentiation Parallel transport Riemann curvature tensor Geodesics Particle trajectories in gravitational field 

3. Dynamics of gravitational field  4 lectures  
Einstein's field equations Definition of the stress tensor Bianchi identities and conservation of the stress tensor Einstein's equations for weak gravitational fields The Newtonian limit 

4. Schwarzschild metric and related topics  5 lectures  
Derivation of Schwarzschild metric Basic properties of Schwarzschild metric coordinate systems and nature of R=2M surface Effective potential for particle orbits in Schwarzschild metric, general properties Precession of perihelion Deflection of ultra relativistic particles Gravitational redshift 

Module II: Applications of GR
1. Gravitational waves  5 lectures  
Wave equation in linearised theory Plane waves Transverse traceless gauge Effect on test particles Principles of detection and generation of gravitational waves Types of detectors LandauLifshitz formula Hulse Taylor binary pulsar 

2. Cosmology   15 lectures  
Models of the universe  5  


Relics of the big bang  3  


Formation of large scale structure  3  


Observations of the cosmological significance  4  


Tutorials will involve problem solving on the topics of the course.
Text Books:
1. General Relativity and Cosmology, J. V. Narlikar Delhi: Macmillan company of India Ltd.
2. General Relativity, I. R. Kenyon, Oxford university press.
3. Classical Theory of Fields, Vol. 2, L. D. Landau and E. M. Lifshitz, Oxford : Pergamon Press.
4. First course in general relativity, B. F. Schutz Cambridge: Cambridge university press.
5. Introduction to Cosmology, 3rd Edition, J. V. Narlikar, Cambridge University Press.