Venue: Madhava Lecture Hall, ICTS Bangalore
Course 1: White Dwarfs, Neutron Stars and Black Holes (G. Srinivasan)
This course is intended to be an introduction to neutron stars and black holes. The topics that will be covered are indicated in brief below.
Lecture 1: White dwarfs, Neutron stars and Black Holes - a historical perspective
Lecture 2: The Physics of Neutron Star Interior.
Equation of state of the interior of a neutron star. Internal structure. Why only two classes of cold stars - white dwarfs and neutron stars? Superfluidity and superconductivity of the neutrons and protons. Some astrophysical consequences of superfluidity of the interior Do pion and Kaon condensates occur in the interior? Models of neutron stars. Maximum mass of neutron stars.
Lecture 3: Neutron Stars as Pulsars
Rotation powered pulsars. The Hulse-Taylor binary pulsar. Recycling of pulsars. Spinning up a neutron star in a mass transfer binary system. Recycled and millisecond pulsars. Evolution of magnetic field of neutron stars. Nonaxisymmetric instabilities. Constraints on the equation of state from observations. Millisecond pulsar array to detect low frequency gravitational waves.
Lectures 4: An Introduction to Black Holes I.
Einstein's equations describing the gravitational field. The Schwarzschild solution. Black holes of General Relativity. Effective potential. Radial and circular motion of particles and photons near a black hole.
Lecture 5: An Introduction to Black Holes II.
Rotating black holes. The Kerr metric. Stationary limit and ergosphere. Radial and circular motion of particles and photons near a rotating black hole. Penrose process. "No Hair theorems". Some remarks about Hawking radiation
Tutors
M. K. Haris, Ajit Kumar Mehta
Course 2: Tides in binary star systems (Tanja Hinderer)
Review of Newtonian tidal effects: gravitational potential outside a non-spherical body, multipole moments, Taylor expansion of the external gravitational potential, motion of extended bodies in a binary system, deformations of fluid bodies and Love numbers • Love numbers in general relativity: definition, calculation, features, universal relations • Tidal effects on the orbital motion, energy losses to gravitational waves, and gravitational waveforms in post-Newtonian theory and the Effective-One-Body model.
References
- Eric Poisson and Cliff Will, “Gravity: Newtonian, Post-Newtonian, Relativistic", Cambridge University Press (2014) (Chapters 1.5, 1.6, 2.4 and 2.5).
- Eric Poisson, “Tidal interactions of Black Holes and Newtonian viscous bodies"
- Thorne and Hartle, “Laws of motion and precession for Black holes and other bodies”, Phys Rev D 31, 1815 (1985).
- Curt Cutler and Éanna E. Flanagan, “Gravitational waves from merging compact binaries: How accurately can one extract the binary’s parameters from the inspiral waveform?”, Phys. Rev. D 49, 2658 (1994).
- Kip Thorne, "Multipole expansion of gravitational radiation", Rev Mod Phys. 52, 2 (1980).
- Daniel Kennefick, "Star crushing: Theoretical practice and the theoreticians' regress", Social Studies of Science 30 (1), 5-40
Tutors
Nathan K. Johnson-McDaniel, Abhirup Ghosh
Course 3: Gravitational waves from neutron stars (Nils Andersson)
Relativity and fluid dynamics, the stellar graveyard, neutron stars, the equation of state, a bit of thermodynamics and nuclear physics • The quadrupole formula, continuous gravitational-wave sources, rotating deformed neutron stars, accreting systems • Asteroseismology, perturbation theory, classifying stellar oscillations, f-p-g-w-r modes • Chandrasekhar-Friedman-Schutz instability, Lagrangian perturbation theory, f- and r-mode instability, gravitational-wave signals and detectability, damping mechanisms and astrophysical constraints • Numerical relativity, 3+1 decomposition, initial value problem, neutron star mergers, gamma-ray bursts, electromagnetic counterparts.
References
- 3+1 split and Initial Value problem: Chapter 21 and 26 of Gravitation of Misner, Thorne and Wheeler, Numerical Relativity by Baumgarte and Shapiro
- Hydrodynamic and Hydromagnetic Stability by S. Chandrasekhar (chapter 13,14)
- Chapter 2 for a brief discussion of Lagrangian and Eulerian perturbation and for rotating fluid bodies: Ellipsoidal Figures of Equillibrium by S. Chandrasekhar
- Nuclear Astrophysics
- Nuclear Physics of Stars by Christian Illiadis
Tutors
Rahul Kashyap, Shilpa Kastha
Course 4: Formation and evolution of compact binaries (Tomasz Bulik)
Evolution of single stars, Basics of mass transfers, Conservative and nonconservative mass transfers, Common envelopes, Supernova explosions, Evolutionary scenarios of binaries with compact objects, Populations of binaries.
Tutors
Sumit Kumar, Gayathri Raman
References
Install following packages for tutorial sessions:
Schedule
| 17 July (Mon), 8:45: Registration | ||||||||||
| 17 July (Mon), 9:30: Welcome remarks by Rajesh Gopakumar (Director, ICTS) | ||||||||||
| Days and time | 9:30 - 11:00 |
11:00 - 11:30 |
11:30 - 13:00 |
13:00 - 14:00 |
14:00 - 15:30 |
15:30 - 16:00 |
16:00 - 17:30 |
17:30 - 18:30 |
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Week 1 |
17 July (Mon) | Course 1, Lecture 1 (Srinivasan) (9:45 - 11:15) |
Coffee (11:15 - 11:45) |
Course 2, Lecture 1 (Hinderer) (11:45 - 13:15) |
Lunch (13:15 - 14:15) |
Course 1, Tutorial 1 (Srinivasan) (14:15 - 15:45) |
Coffee (15:45 - 16:15) |
Course 2, Tutorial 1 (Hinderer) (16:15 - 17:45) |
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| 18 July (Tue) | Course 1, Lecture 2 (Srinivasan) | Coffee | Course 2, Lecture 2 (Hinderer) | Lunch | Course 1, Tutorial 2 (Srinivasan) | Coffee | Course 2, Tutorial 2 (Hinderer) | -- | ||
| 19 July (Wed) | Course 1, Lecture 3 (Srinivasan) | Coffee | Course 2, Lecture 3 (Hinderer) | Lunch | Course 1, Tutorial 3 (Srinivasan) | Coffee | Course 2, Tutorial 3 (Hinderer) | -- | ||
| 20 July (Thu) | Course 1, Lecture 4 (Srinivasan) | Coffee | Course 2, Lecture 4 (Hinderer) | Lunch | Course 1, Tutorial 4 (Srinivasan) | Coffee | Course 2, Tutorial 4 (Hinderer) | -- | ||
| 21 July (Fri) | Course 1, Lecture 5 (Srinivasan) | Coffee | Course 2, Lecture 5 (Hinderer) | Lunch | Course 1, Tutorial 5 (Srinivasan) | Coffee | Course 2, Tutorial 5 (Hinderer) | -- | ||
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Week 2 |
24 July (Mon) | Course 3, Lecture 1 (Andersson) | Coffee | Course 4, Lecture 1 (Bulik) | Lunch | Course 3, Tutorial 1 (Andersson) | Coffee | Course 4, Tutorial 1 (Bulik) | -- | |
| 25 July (Tue) | Course 3, Lecture 2 (Andersson) | Coffee | Course 4, Lecture 2 (Bulik) | Lunch | Course 3, Tutorial 2 (Andersson) | Coffee | Course 4, Tutorial 2 (Bulik) | -- | ||
| 26 July (Wed) | Course 3, Lecture 3 (Andersson) | Coffee | Course 4, Lecture 3 (Bulik) | Lunch | Course 3, Tutorial 3 (Andersson) | Coffee | Course 4, Tutorial 3 (Bulik) | Course 3, Tutorial 4 (Andersson) | ||
| 27 July (Thu) | Course 3, Lecture 4 (Andersson) | Coffee | Course 4, Lecture 4 (Bulik) | Lunch | Course 3, Tutorial 5 (Andersson) | Coffee | Course 4, Tutorial 4 (Bulik) | Course 4, Tutorial 5 (Bulik) | ||
| 28 July (Fri) | Course 3, Lecture 5 (Andersson) | Coffee | Course 4, Lecture 5 (Bulik) | Lunch | (16:00 - 18:00 hrs) Einstein Lecture by Andersson Venue: St. Joseph College, Blr |
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