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Advanced course in general relativity (Lecture 1) by Sudipta Sarkar
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PROGRAM
SUMMER SCHOOL ON GRAVITATIONAL WAVE ASTRONOMY
ORGANIZERS : Parameswaran Ajith, K. G. Arun and Bala R. Iyer
DATE : 15 July 2019 to 26 July 2019
VENUE : Madhava Lecture Hall, ICTS Bangalore
This school is part of the annual ICTS summer schools on gravitational-wave (GW) astronomy. As GW observations are becoming a precision tool for fundamental physics, astrophysics and cosmology, improving the theoretical understanding of the physics and astrophysics involved become crucial. This year’s school will focus on theoretical modeling of some of the promising astrophysical and cosmological sources of gravitational radiation.
Courses :
1.Advanced course in general relativity (Sudipta Sarkar, IIT Gandhinagar)
2.Primordial black holes and gravitational wave astronomy (Teruaki Suyama, Tokyo Institute of Technology)
3.Gravitational radiation from post-Newtonian sources and inspiralling compact binaries (Luc Blanchet, Institute of Astrophysics of Paris)
4.Self-force and radiation reaction in general relativity (Adam Pound, University of Southampton)
The school is primarily meant for graduate students and postdocs in gravitational physics and related fields. A small number of highly motivated senior undergraduates can also be considered. Basic understanding of general relativity is a prerequisite for the courses.
0:00:00 Advanced course in general relativity (Lecture - 1)
0:02:21 General Relativity - classical theory of Gravitation
0:02:56 In presence of mass/energy, spacetime
0:08:15 In presence of matter
0:12:06 Necessary as well as sufficient condition
0:14:25 Ricci tensor
0:16:05 Matter
0:17:20 Energy momentum tensor T power mv
0:21:23 In conserved spacetime
0:29:43 Einstein equations
0:32:01 Vacuum solution
0:46:09 How the test bodies behaves in the shorten solution?
0:49:29 Three space like killing vectors
0:51:34 Action of a massive "particle"
1:00:33 Geodesic equation
1:03:07 Townsend review - "Black holes"
1:09:20 How do you obtain the conserved quantities?
1:26:32 Newton's law
SUMMER SCHOOL ON GRAVITATIONAL WAVE ASTRONOMY
ORGANIZERS : Parameswaran Ajith, K. G. Arun and Bala R. Iyer
DATE : 15 July 2019 to 26 July 2019
VENUE : Madhava Lecture Hall, ICTS Bangalore
This school is part of the annual ICTS summer schools on gravitational-wave (GW) astronomy. As GW observations are becoming a precision tool for fundamental physics, astrophysics and cosmology, improving the theoretical understanding of the physics and astrophysics involved become crucial. This year’s school will focus on theoretical modeling of some of the promising astrophysical and cosmological sources of gravitational radiation.
Courses :
1.Advanced course in general relativity (Sudipta Sarkar, IIT Gandhinagar)
2.Primordial black holes and gravitational wave astronomy (Teruaki Suyama, Tokyo Institute of Technology)
3.Gravitational radiation from post-Newtonian sources and inspiralling compact binaries (Luc Blanchet, Institute of Astrophysics of Paris)
4.Self-force and radiation reaction in general relativity (Adam Pound, University of Southampton)
The school is primarily meant for graduate students and postdocs in gravitational physics and related fields. A small number of highly motivated senior undergraduates can also be considered. Basic understanding of general relativity is a prerequisite for the courses.
0:00:00 Advanced course in general relativity (Lecture - 1)
0:02:21 General Relativity - classical theory of Gravitation
0:02:56 In presence of mass/energy, spacetime
0:08:15 In presence of matter
0:12:06 Necessary as well as sufficient condition
0:14:25 Ricci tensor
0:16:05 Matter
0:17:20 Energy momentum tensor T power mv
0:21:23 In conserved spacetime
0:29:43 Einstein equations
0:32:01 Vacuum solution
0:46:09 How the test bodies behaves in the shorten solution?
0:49:29 Three space like killing vectors
0:51:34 Action of a massive "particle"
1:00:33 Geodesic equation
1:03:07 Townsend review - "Black holes"
1:09:20 How do you obtain the conserved quantities?
1:26:32 Newton's law
1:28:26
2:33:02
1:30:50
1:24:28
1:49:28
0:14:04
0:47:15
1:24:58
0:13:52
1:32:01
0:18:32
11:29:00
0:11:33
0:00:54
0:40:40
0:00:25
1:31:19
0:45:59
0:00:56
0:31:26
0:00:24
1:23:05
0:17:24
0:23:41