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Numerical relativity: Mathematical formulation by Harald Pfeiffer
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PROGRAM: GRAVITATIONAL WAVE ASTROPHYSICS (ONLINE)
ORGANIZERS : Parameswaran Ajith, K. G. Arun, Sukanta Bose, Bala R. Iyer, Resmi Lekshmi and B Sathyaprakash
DATE: 18 May 2020 to 22 May 2020
VENUE: Online
Due to the ongoing COVID-19 pandemic, the original program has been cancelled. However, the summer school will be conducted through online lectures.
The program involves two components. The first fortnight (18﹣22 May) involves a summer school for students and young researchers, that is part of the annual summer schools on gravitational-wave astronomy. The second fortnight (25 May﹣5 June) involves a workshop for active researchers working on gravitational wave astronomy, astrophysics, and related areas.
This year’s summer school will focus on the multimessenger modelling of compact binary mergers, involving four graduate-level courses on numerical relativity, numerical hydrodynamics, and the modelling of short gamma-ray bursts and kilonovae.
The workshop will focus on two broad themes: The first week (25 ﹣ 29 May) will focus on compact binary merger physics and multimessenger astrophysics, while the second week (1 ﹣ 5 June) will focus on black hole physics and astrophysics using gravitational-wave observation.
0:00:00 Numerical relativity
0:03:33 How to simulate coalescing binary black holes?
0:05:01 Gravitational waves
0:07:12 Lecture plan
0:10:38 Numerical Relativity
0:22:00 Early & Brief History
0:25:00 2005 - Pretorius
0:27:24 Components of NR
0:28:07 Goal of NR
0:36:16 Projection into
0:43:45 Differential geometry w / in
0:46:32 Extrinsic curvature:
0:51:13 Adopted coordinates
0:55:59 Can also show
0:59:51 Further, all spatial objects objects collapse to 3 -D ones
0:59:58 Decomposing curvature & E. Egs.
1:04:32 Comments
1:10:32 Basics of Partial Difference Equation
1:13:55 Solving Constraints
1:15:15 Conformal trato
1:18:33 Side remark
1:20:39 Solved by e.g
1:21:24 BH momentum of spin : Transverse- traceless decomp of Kip
1:23:46 "Puncture initial data multi - BH boosted spinning BHS.
1:29:12 Evolutions -Strategies to modify equations
1:30:24 BSSN equations
1:32:57 Q&A
1:42:05 Note
1:48:28 Constraint damping
1:56:38 Q&A
ORGANIZERS : Parameswaran Ajith, K. G. Arun, Sukanta Bose, Bala R. Iyer, Resmi Lekshmi and B Sathyaprakash
DATE: 18 May 2020 to 22 May 2020
VENUE: Online
Due to the ongoing COVID-19 pandemic, the original program has been cancelled. However, the summer school will be conducted through online lectures.
The program involves two components. The first fortnight (18﹣22 May) involves a summer school for students and young researchers, that is part of the annual summer schools on gravitational-wave astronomy. The second fortnight (25 May﹣5 June) involves a workshop for active researchers working on gravitational wave astronomy, astrophysics, and related areas.
This year’s summer school will focus on the multimessenger modelling of compact binary mergers, involving four graduate-level courses on numerical relativity, numerical hydrodynamics, and the modelling of short gamma-ray bursts and kilonovae.
The workshop will focus on two broad themes: The first week (25 ﹣ 29 May) will focus on compact binary merger physics and multimessenger astrophysics, while the second week (1 ﹣ 5 June) will focus on black hole physics and astrophysics using gravitational-wave observation.
0:00:00 Numerical relativity
0:03:33 How to simulate coalescing binary black holes?
0:05:01 Gravitational waves
0:07:12 Lecture plan
0:10:38 Numerical Relativity
0:22:00 Early & Brief History
0:25:00 2005 - Pretorius
0:27:24 Components of NR
0:28:07 Goal of NR
0:36:16 Projection into
0:43:45 Differential geometry w / in
0:46:32 Extrinsic curvature:
0:51:13 Adopted coordinates
0:55:59 Can also show
0:59:51 Further, all spatial objects objects collapse to 3 -D ones
0:59:58 Decomposing curvature & E. Egs.
1:04:32 Comments
1:10:32 Basics of Partial Difference Equation
1:13:55 Solving Constraints
1:15:15 Conformal trato
1:18:33 Side remark
1:20:39 Solved by e.g
1:21:24 BH momentum of spin : Transverse- traceless decomp of Kip
1:23:46 "Puncture initial data multi - BH boosted spinning BHS.
1:29:12 Evolutions -Strategies to modify equations
1:30:24 BSSN equations
1:32:57 Q&A
1:42:05 Note
1:48:28 Constraint damping
1:56:38 Q&A
2:10:44
1:13:34
1:34:58
1:35:41
1:31:03
1:43:01
1:29:07
0:10:12
0:52:09
0:58:49
1:28:21
0:42:54
2:06:21
1:15:47
0:03:38
1:38:37
0:27:27
0:26:04
0:56:28
0:14:49
0:00:37
0:01:21
1:26:27
0:39:28