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Summer School on Gravitational-Wave Astronomy
Monday, 25 July 2016
Time Speaker Title Resources
08:45 to 09:15 -- Registration
09:15 to 09:30 Rajesh Gopakumar (Director, ICTS) Welcome remarks
09:30 to 11:00 Clifford M Will (University of Florida, USA) Gravity: Newtonian, post-Newtonian, Relativistic (Lecture 1)
   
11:00 to 11:30 -- Coffee
11:30 to 13:00 Clifford M Will (University of Florida, USA) Gravity: Newtonian, post-Newtonian, Relativistic (Lecture 2)
   
13:00 to 14:00 -- Lunch
14:00 to 15:30 Mishra, Johnson-McDaniel (ICTS, India) Gravity: Newtonian, post-Newtonian, Relativistic (Tutorial 1)
15:30 to 16:00 -- Coffee
16:00 to 18:30 Mishra, Johnson-McDaniel (ICTS, India) Gravity: Newtonian, post-Newtonian, Relativistic (Tutorial 2)
18:30 to 19:30 -- Dinner
Tuesday, 26 July 2016
Time Speaker Title Resources
09:30 to 11:00 Clifford M Will (University of Florida, USA) Gravity: Newtonian, post-Newtonian, Relativistic (Lecture 3)
   
11:00 to 11:30 -- Coffee
11:30 to 13:00 Clifford M Will (University of Florida, USA) Gravity: Newtonian, post-Newtonian, Relativistic (Lecture 4)
   
13:00 to 14:00 -- Lunch
14:00 to 15:30 Mishra, Johnson-McDaniel (ICTS, India) Gravity: Newtonian, post-Newtonian, Relativistic (Tutorial 3)
15:30 to 16:00 -- Coffee
16:00 to 18:30 Mishra, Johnson-McDaniel (ICTS, India) Gravity: Newtonian, post-Newtonian, Relativistic (Tutorial 4)
18:30 to 19:30 -- Dinner
Wednesday, 27 July 2016
Time Speaker Title Resources
09:30 to 11:00 Clifford M Will (University of Florida, USA) Gravity: Newtonian, post-Newtonian, Relativistic (Lecture 5)
   
11:00 to 11:30 -- Coffee
11:30 to 13:00 Clifford M Will (University of Florida, USA) Gravity: Newtonian, post-Newtonian, Relativistic (Lecture 6)
   
13:00 to 14:00 -- Lunch
14:00 to 15:30 Mishra, Johnson-McDaniel (University of Florida, USA) Gravity: Newtonian, post-Newtonian, Relativistic (Tutorial 5)
15:30 to 16:00 -- Coffee
16:00 to 18:30 Mishra, Johnson-McDaniel (University of Florida, USA) Gravity: Newtonian, post-Newtonian, Relativistic (Tutorial 6)
18:30 to 19:30 -- Dinner
Thursday, 28 July 2016
Time Speaker Title Resources
09:30 to 11:00 Clifford M Will (University of Florida, USA) Gravity: Newtonian, post-Newtonian, Relativistic (Lecture 7)
   
11:00 to 11:30 -- Coffee
11:30 to 13:00 Clifford M Will (University of Florida, USA) Gravity: Newtonian, post-Newtonian, Relativistic (Lecture 8)
   
13:00 to 14:00 -- Lunch
14:00 to 15:30 Mishra, Johnson-McDaniel (University of Florida, USA) Gravity: Newtonian, post-Newtonian, Relativistic (Tutorial 7)
15:30 to 16:00 -- Coffee
16:00 to 18:30 Mishra, Johnson-McDaniel (University of Florida, USA) Gravity: Newtonian, post-Newtonian, Relativistic (Tutorial 8)
18:30 to 19:30 -- Dinner
Friday, 29 July 2016
Time Speaker Title Resources
09:30 to 11:00 Clifford M Will (University of Florida, USA) Gravity: Newtonian, post-Newtonian, Relativistic (Lecture 9)
     
11:00 to 11:30 -- Coffee
11:30 to 13:00 Clifford M Will (University of Florida, USA) Gravity: Newtonian, post-Newtonian, Relativistic (Lecture 10)
   
13:00 to 14:00 -- Lunch
16:00 to 18:30 Clifford M Will (University of Florida, USA) Einstein Lecture
 
18:30 to 19:30 -- Dinner
Saturday, 30 July 2016
Time Speaker Title Resources
09:30 to 11:00 Mishra, Johnson-McDaniel (University of Florida, USA) Gravity: Newtonian, post-Newtonian, Relativistic (Tutorial 9)
11:00 to 11:30 -- Coffee
11:30 to 13:00 Mishra, Johnson-McDaniel (University of Florida, USA) Gravity: Newtonian, post-Newtonian, Relativistic (Tutorial 10)
13:00 to 14:00 -- Lunch
18:30 to 19:30 -- Dinner
Monday, 01 August 2016
Time Speaker Title Resources
09:30 to 11:00 Emanuele Berti (University of Mississippi, USA) Black hole perturbation theory (Lecture 1)
 
11:00 to 11:30 -- Coffee
11:30 to 13:00 B. S. Sathyaprakash (Cardiff University, UK) Gravitational astronomy (Lecture 1)
 
13:00 to 14:00 -- Lunch
14:00 to 15:30 Berti, Gupta (University of Mississippi, USA & IUCAA, India) Black hole perturbation theory (Tutorial 1)
15:30 to 16:00 -- Coffee
16:00 to 18:30 B. S. Sathyaprakash (Cardiff University, UK) Gravitational astronomy (Lecture 2)
 
17:30 to 18:30 Ghosh, Kumar (ICTS, India) Gravitational astronomy (Tutorial 1)
18:30 to 19:30 -- Dinner
Tuesday, 02 August 2016
Time Speaker Title Resources
09:30 to 11:00 Emanuele Berti (University of Mississippi, USA) Black hole perturbation theory (Lecture 2)
 
11:00 to 11:30 -- Coffee
11:30 to 13:00 B. S. Sathyaprakash (Cardiff University, UK) Gravitational astronomy (Lecture 3)
   
13:00 to 14:00 -- Lunch
14:00 to 15:30 Berti, Gupta (University of Mississippi, USA & IUCAA, India) Black hole perturbation theory (Tutorial 2)
15:30 to 16:00 -- Coffee
16:00 to 18:30 B. S. Sathyaprakash (Cardiff University, UK) Gravitational astronomy (Lecture 4)
 
17:30 to 18:30 Ghosh, Kumar (ICTS, India) Gravitational astronomy (Tutorial 2)
18:30 to 19:30 -- Dinner
Wednesday, 03 August 2016
Time Speaker Title Resources
09:30 to 11:00 Emanuele Berti (University of Mississippi, USA) Black hole perturbation theory (Lecture 3)
 
11:00 to 11:30 -- Coffee
11:30 to 13:00 B. S. Sathyaprakash (Cardiff University, UK) Gravitational astronomy (Lecture 5)
 
13:00 to 14:00 -- Lunch
14:00 to 15:30 Berti, Gupta (University of Mississippi, USA & IUCAA, India) Black hole perturbation theory (Tutorial 3)
15:30 to 16:00 -- Coffee
16:00 to 18:30 Ghosh, Kumar (ICTS, India) Gravitational astronomy (Tutorial 3)
18:30 to 19:30 -- Dinner
Thursday, 04 August 2016
Time Speaker Title Resources
09:30 to 11:00 Emanuele Berti (University of Mississippi, USA) Black hole perturbation theory (Lecture 4)
 
11:00 to 11:30 -- Coffee
11:30 to 13:00 Ghosh, Kumar (ICTS, India) Gravitational astronomy (Tutorial 4)
13:00 to 14:00 -- Lunch
14:00 to 15:30 Berti, Gupta (University of Mississippi, USA & IUCAA, India) Black hole perturbation theory (Tutorial 4)
15:30 to 16:00 -- Coffee
16:00 to 18:30 Ghosh, Kumar (ICTS, India) Gravitational astronomy (Tutorial 5)
18:30 to 19:30 -- Dinner
Friday, 05 August 2016
Time Speaker Title Resources
09:30 to 11:00 Emanuele Berti (University of Mississippi, USA) Black hole perturbation theory (Lecture 5)
 
11:00 to 11:30 -- Coffee
11:30 to 13:00 -- Discussion / Feedback
13:00 to 14:00 -- Lunch
14:00 to 15:30 Berti, Gupta (University of Mississippi, USA & IUCAA, India) Black hole perturbation theory (Tutorial 5)
15:30 to 18:30 -- Coffee
18:30 to 19:30 -- Dinner
Monday, 15 July 2019
Time Speaker Title Resources
09:30 to 11:00 Teruaki Suyama (Tokyo Institute of Technology, Japan) Course 1 Primordial black holes and gravitational wave astronomy

Introduction: Why primordial black holes (PBHs) are important in cosmology. Formation of PBHs: Threshold of the PBH formation, abundance of PBHs, generating seeds of PBH from inflation. Observational constraints on the abundance of PBHs. PBHs as sources of gravitational waves:Mechanism of the PBH binary formation, merger rate, tests of the PBH hypothesis by the future GW observations

References: 

  1. M. Sasaki et al, Class. Quant. Grav. 35 (2018), 063001 [arXiv:1801.05235]
14:00 to 15:30 Teruaki Suyama (Tokyo Institute of Technology, Japan) Course 1 Primordial black holes and gravitational wave astronomy

Introduction: Why primordial black holes (PBHs) are important in cosmology. Formation of PBHs: Threshold of the PBH formation, abundance of PBHs, generating seeds of PBH from inflation. Observational constraints on the abundance of PBHs. PBHs as sources of gravitational waves:Mechanism of the PBH binary formation, merger rate, tests of the PBH hypothesis by the future GW observations

References: 

  1. M. Sasaki et al, Class. Quant. Grav. 35 (2018), 063001 [arXiv:1801.05235]
15:30 to 16:00 - Tea/coffee break
Wednesday, 17 July 2019
Time Speaker Title Resources
15:30 to 16:00 - Tea/coffee break
Friday, 19 July 2019
Time Speaker Title Resources
11:30 to 13:00 Sudipta Sarkar (IITG, India) Course 2 Advanced course in general relativity (Lecture 5)

Riemann, Ricci and Einstein Tensor, the Einstein field equation, Energy-Momentum tensor, Spherically symmetric asymptotically flat vacuum solution, The Schwarzschild Geometry, Eddington-Finkelstein coordinates. Timelike geodesics of Schwarzschild Geometry. Effective potential and nature of timelike obits. Null geodesics, Photon Sphere and shadow of Schwarzschild black hole. Introduction to Kerr solution. Dragging of Inertial Frames & ZAMO, Ergosphere, and the event horizon, Penrose Process.  Linearized Einstein Equation. Gauge freedoms, Gravitational radiation, Energy loss by gravitation wave emission.

References: 

  1. Sean Carrol, Lectures notes on general relativity (gr-qc/9712019) 
  2. Eric Poisson, A Relativist’s Toolkit (Cambridge University Press) 
  3. S Chandrasekhar, The Mathematical Theory of Black Holes (Oxford)
 
Tuesday, 23 July 2019
Time Speaker Title Resources
14:00 to 15:30 Luc Blanchet (Institute of Astrophysics, France) Course 3 Gravitational radiation from post-Newtonian sources and inspiralling compact binaries

Quadrupole formula, effect of GWs on matter, problem of the generation of GWs; and more advanced ones: post-Newtonian methods, the multipolar post-Minkowskian expansion, problem of motion, applications to compact binary systems, Fokker Lagrangian and Hamiltonian, effects of spins and internal structure.

References: 

  1. L. Blanchet, Living Rev. Relativ. (2014) 17: 2. https://doi.org/10.12942/lrr-2014-2​

Preparatory material: 

  1. Kip S. Thorne, "Gravitational Radiation," in Three Hundred Years of Gravitation, ed. S.W. Hawking and W. Israel (Cambridge University Press, 1987), pp. 330-458.
  2. Michele Maggiore, Gravitational Waves: Volume 1: Theory and Experiments (Cambridge University Press)
  3. Misner, Thorne, Wheeler, Gravitation (Princeton University Press) [Chapters 18 (weak gravitational fields), 35 (propagation of GWs), 36 (generation of GWs) and Exercises: 35.1, 35.2, 35.15, 36.2, 36.5, 36.6, 36.8, 36.9]