Numerical Relativity and Gravitation

ㆍ	Hosting Organizations

ㆍ	International Organizing Committees

ㆍ	Local Organizing Committees

ㆍ	Lecturers and Topics

ㆍ

Program

ㆍ	Brief description of lectures

ㆍ	General Scope

ㆍ	Accommodation and Meals

ㆍ	Registration/ Participant

ㆍ

Venue

ㆍ

Contact

2009 International School on Numerical Relativity and Gravitation

-- APCTP-YITP-KISTI Joint School --

December 7 - 11, 2009 at APCTP Seoul in Korea

▣ Hosting Organizations

。APCTP (Asia Pacific Center for Theoretical Physics)

。YITP (Yukawa Institute for Theoretical Physics)

。KISTI (Korea Institute for Science and Technology Information)

▣ International Organizing Committees

。Gungwon Kang (KISTI, Korea)

。Runqiu Liu (Academy of Mathematics and Systems Science, China)

。Masaru Shibata (YITP, Japan)

。Hwei-Jang Yo (National Cheng-Kung University, Taiwan)

▣ Local Organizing Committees

Inyong Cho (Seoul National U. of Technology), Dae-Il Choi (SNU), Gungwon Kang (KISTI), Hee Il Kim (SNU), Sang Pyo Kim (Kunsan National U), Chang-Hwan Lee (Pusan National U), Hyung Mok Lee (SNU), Hyung Won Lee (Inje U), Jaeweon Lee (Jungwon U.)

▣ Lecturers and Topics

。Patrick Brady (U. of Wisconsin-Milwaukee): LIGO gravitational wave date analysis
Lecture Note

。Jose A. Font (Universidad de Valencia): General Relativistic Hydrodynamics and MHD
Lecture Note 1-2

3-4

。Luca Baiotti (YITP): Cactus, Whisky and numerical methods for relativistic hydrodynamics
Lecture Note 1

。Masaru Shibata (YITP): 3+1 and higher-dimensional formalisms of numerical relativity and their applications
Lecture Note

。Chunglee Kim (Lund University): Gravitational Wave Sources
Lecture Note 1

。Myungkee Sung (Louisiana State U.): LIGO Experiment
Lecture Note 1

。Hideyuki Tagoshi (Osaka U.): Post Newtonian theory and gravitational waves from inspiraling compact binaries (TBC)
Lecture Note

。Takahiro Tanaka (YITP): Theory of higher-dimensional black holes (TBC)
Lecture Note

。Yu-ichiro Sekiguchi (NAOJ): Stellar core collapse in general relativity
Lecture Note

▣ Program

Time	Mon Dec 7	Tue Dec 8	Wed Dec 9	Thu Dec 10	Fri Dec 11
9:00	Opening remarks	Brady III 9:00-10:00	Sekiguchi III 9:00-10:20	Tanaka II 9:00-10:00	Sung II 9:00-10:00
	Brady I 9:10-10:00
10:00	Coffee break	Coffee break		Coffee break	Coffee break
	Shibata I 10:20-11:20	Font I 10:20-11:20	Coffee break	Font II 10:20-11:20	Font IV 10:20-11:20
			Baiotti II 10:40-12:00
11:00
	Sekiguchi I 11:20-12:20	Sekiguchi II 11:20-12:20		Shibata III 11:20-12:20	Kim II 11:20-12:20
12:00			Committee meeting
	Lunch 12:20-2:00	Lunch 12:20-1:30	Lunch 12:20-2:00	Lunch 12:20-2:00	Lunch 12:20-2:00
1:00
		Brady IV 1:30-2:30
2:00	Brady II 2:00-3:00		Free time	Tagoshi I 2:00-3:00	Tagoshi II 2;00-3:00
		Photo session
		Coffee break
3;00	Coffee break	Tanaka I 3:00-4:00		Coffee break	Coffee break
	Kim I 3:30-4:30			Sung I 3:30-4:30	Kim III 3:30-4:30
4:00		Baiotti I 4:00-5:00
	Shibata II 4:30-5:30			Font III 4:30-5:30	Closing remarks
5:00
		Banquet 5:20-7:20

6:00				Dinner 6:30-8:30

▣ Brief description of lectures

Patrick Brady

"LIGO gravitational wave data analysis"

I intend to be split the content about 50/50 between theoretical data analysis/real data analysis.
Lecture 1: What the detector measures, noise, detection as statistical process, detection of signals with known/unknown parameters. Basic exercise in data analysis.
Lecture 2: Transient sources including compact binaries and unmodelled signals, detection in Gaussian noise, multi-detector, detection in real noise.
Lecture 3: Introduction to gravitational-wave data and software. How is the data stored in files, how to read data, compute a power spectrum, generate a template bank for compact binary inspiral, filter the output, read the output data.
Lecture 4: Other sources and discussion of measurement.

Jose A. Font

"General relativistic hydrodynamics and MHD"

In these lectures various aspects of general relativistic hydrodynamics (GRHD) and MHD are discussed, including the governing equations, numerical approaches to solve them, and computational applications in source modeling in representative scenarios of relativistic astrophysics.
The lectures are divided into four main parts. In the first and second parts of the lectures the equations of relativistic hydrodynamics and MHD will be reviewed. We will start with a brief? introduction to the defining properties of fluids and to the equations of classical (Newtonian) fluid dynamics. Next, from the conservation laws of density current and stress-energy we will show how the equations of general relativistic hydrodynamics are obtained. We will discuss some of the existing formulations of the GRHD equations (restricted to perfect fluids) which are most commonly employed in present-day numerical investigations in relativistic astrophysics. We will also discuss extensions to GRMHD and will also briefly mention present-day formulations of Einstein's equations for non-vacuum spacetimes.The fact that the GRHD (and GRMHD) equations can be formulated in various (practical) ways has important implications on the numerical procedure to solve them. This mainly depends on the choice of the state-vector of the hyperbolic system they form or on the slicing chosen to foliate the spacetime. Hyperbolicity allows the use of the wave structure of the equations to build up stable and accurate numerical schemes for their solution. In particular, the so-called (upwind) high-resolution shock-capturing (HRSC) schemes (or Godunov-type methods), based upon approximate Riemann solvers, have been extended from classical to relativistic fluid dynamics (both special and general). While such advances also hold true in the case of the GRMHD equations, the development still awaits here for a thorough numerical exploration. In the third part of the lectures we will focus our attention on presenting an overview of such current approaches to numerically solve nonlinear hyperbolic systems of conservation laws. Therefore, the emphasis will be given to Riemann solvers and HRSC schemes. Test simulations showing the performance and accuracy of the numerical schemes will be presented. Finally, the last part of the lectures will offer an overview of astrophysical applications involving compact objects, namely simulations of accretion disks orbiting black holes, gravitational stellar core collapse, and evolutions of neutron stars. The numerical modeling of such scenarios is one of the main efforts of present-day numerical relativity, as they are among the main targets of detectable gravitational radiation.

Luca Baiotti

"Cactus, Whisky and numerical methods for relativistic Hydrodynamics"

In my lectures I plan to introduce the open-source computational toolkit "Cactus", which easily enables parallel computation across different architectures and collaborative code development between different groups. Then I will present the open-source "Whisky" code, which solves the relativistic hydrodynamics equations in a time-varying and arbitrarily curved spacetime. As one might easily imagine, in talking about the internal structure of Whisky, the points of contact with the lecture of J. A. Font on "General relativistic hydrodynamics and MHD" will be many.
Those who will bring a laptop at the school and want to practice with the Cactus end Whisky codes, please make sure that the the following standard software is installed on your machines: Perl5.0, GNU make, C, C++ and Fortran (including Fortran 90 compatible) compilers (the free gnu compilers are of course sufficient), and CPP (C preprocessor). The following software will also be useful, even if not required: CVS (Concurrent Versions System), SVN (Subversion), MPI (Message Passing Interface). Most of the above software is probably already installed on most laptops by default, but please check.

Masaru Shibata

"3+1 and higher-dimensional formalisms of numerical relativity and their applications"

TBA

Chunglee Kim

"Gravitational-Wave Sources"

In the next decade, a direct measurement of gravitational-wave (GW) will be made by ground- and/or space-based detectors. I will give an overview of the different GW sources and provide some answers to the following questions: (a) what are the most plausible GW sources to be detected from the ground or from space?, (b) how to estimate detection rates for GW sources for a given detector sensitivity?, and (c) how can one use GW detections in order to constrain astrophysical models? A particular emphasis will be placed on neutron star binaries, which are the prime target for the ground-based detectors.

Myungkee Sung

"LIGO Experiment"

Gravitational waves, a prediction of General Relativity, are known to exist by the indirect evidence from the observation of the Hulse-Talyor binary pulsar system, but have never been directly detected yet. In order to detect gravitational waves from astrophysical sources, the Laser Interferometer for Gravitational-wave Observatory (LIGO) detectors were built by the National Science Foundation in two locations in US. In the fifth science data-taking run (S5), the LIGO detectors collected data for the gravitational wave detection with the designed sensitivity for two years (Nov. 2005 - Oct. 2007). Although the direct detection of gravitational waves were not made yet, some interesting astrophysical results are produced from this data set. After spending less than two years for the upgrade of the detectors, the experiment started the new science run (S6 - the Enhanced LIGO) in July 2009.
With improved sensitivities of the Enhanced LIGO and the Advanced LIGO, which is planned as a major upgrade after the Enhanced LIGO, Gravitational waves are expected to be detected in the LIGO experiment in near future, which will open a door to new physics. In my lectures, I will describe the LIGO experiment including descriptions of instruments, calibration, data, analysis results and future prospects.

Hideyuki Tagoshi

"Post Newtonian theory and data analysis of gravitational waves from inspiraling compact binaries"

I will give an overview of the post-Newtonian theory and data analysis issues of gravitational waves from inspiraling compact binaries.

Takahiro Tanaka

"Constraint on higher dimensional gravity theory from black holes"

In this lecture, I would like to review higher dimensional black holes focusing on two aspects; black holes formed at high energy particle collisions and the effects of gravity modification on astrophysical black holes. First I briefly explain the scenario of large extra dimensions, in which the above mentioned topics become relevant. Then, varieties of higher dimensional known solutions of black holes without brane will be introduced. In addition to that, speculation on the unknown branches of solutions will be discussed. Phenomenological signatures of black hole evaporation will be also reviewed. Then, I will shortly mention the case of brane black holes, although our current understanding about such black holes is very limited.

Yu-ichiro Sekiguchi

"Stellar core collapse in general relativity"

In my lectures, I plan to first summarize physics and basic scenario of stellar core collapse, with emphasizing importance of GR effects. It will be clarified that simulations with a finite temperature equation of state, electron capture, and neutrino processes, are required to explore the phenomena. After that, implementation of the above microphysics in full GR code will be explained in some detail. Finally, some recent works will be reviewed.

▣ General Scope

This school on numerical relativity and gravitation is mainly intended for educating graduate students and early career post-doc researchers on (1) the basics of physics/astrophysics motivation, and (2) numerical approaches and technical details involved in order to prepare them to take on the cutting edge research projects. In addition, it includes several presentations on recent progresses in the field, often delivered by invited lecturers as well as participating members.
The topics planned at the school are 3+1 formalism and numerical relativity, GR hydrodynamics and magneto hydrodynamics, Post Newtonian calculations, black hole merger or scattering simulations, LIGO experiment, LIGO gravitational wave data analysis, gravitational wave sources and etc.. Most lectures will be pedagogical, subject to being adjusted upon request, but main lecturers will give talks on their most recent work or status summaries of the topics at the end of their lectures. The details of the program will be finalized soon.
A number of people in the fields of gravitation and astrophysics have been putting lots of efforts to establish a group of numerical relativity in Korea since 2005. Every year they held a school, and many researchers delivered very useful lectures on numerical relativity and gravitational wave physics. Some of them include M.W. Choptuik, M. Snajdr, W. Ni, D. Choi, E. Schnetter, M. Shibata, C. Ott, H. Shinkai, E. Gourgoulhon, L. Baiotti and G. Gonzalez.
This year the school is co-hosted by three organizations (i.e., APCTP, YITP and KISTI), having more international character. Researchers and students from East Asia who are interested in numerical relativity and gravitational wave physics are more actively participating in this year. We hope that they continue to build good collaborative networks through this school.

▣ Accommodation and Meals

Expenses for accommodation will be supported for all participants according to the APCTP rules. The details for the maximum amount will be informed later. Enough amount of sandwiches/bread with some beverage will be available in the morning at the venue. Lunch meals during the school are used to be supported. There will be a welcoming dinner and a banquet free for all participants.

▣ Registration/ Participant