Application of spectral methods to high-accuracy numerical relativity

2008 Fiscal Year Final Research Report

• Project/Area Number: 18740144
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Rikkyo University
• Principal Investigator: HARADA Tomohiro Rikkyo University, 理学部, 准教授 (60402773)
• Project Period (FY): 2006 – 2008
• Keywords: 相対論 / 重力(理論)

Research Abstract

Einstein方程式を解く数値的手法(数値相対論)を軸として、相対論的重力の非線形効果が重要となるいくつかの現象の解析を行った。特に、減速膨張宇宙および加速膨張宇宙における物質場存在下での動的なブラックホール解の構築とその性質、円筒対称および球対称重力崩壊における時空特異点の形成と自己相似解の役割、球対称ダストの重力崩壊における量子重力的効果という三つの課題について研究成果を出した。

Research Products

• [Journal Article] Singularities and self-similarity in gravitational collapse (2009)
  • Author(s): Tomohiro Harada
  • Journal Title: a plenary talk given at the Hayashibara Forum at IHES on Singularities, 20-23 Nov 2006, Bures-sur-Yvette, France, to appear in the Advanced Study in Pure Mathematics (掲載決定) Pages: 15
  • Peer Reviewed
• [Journal Article] Cosmological wormholes (2009)
  • Author(s): Hideki Maeda, Tomohiro Harada and B. J. Carr
  • Journal Title: Phys. Rev D79(4),044034 Pages: 10
  • Peer Reviewed
• [Journal Article] High-Speed Collapse of a Hollow Sphere of Type I Matter (2009)
  • Author(s): Zahid Ahmed, Tomohiro Harada, Ken-ichi Nakao and M. Sharif
  • Journal Title: Class. Quantum Grav 26(3),035007 Pages: 15
  • Peer Reviewed
• [Journal Article] Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity (2008)
  • Author(s): Martin Bojowald, Tomohiro Harada and Rakesh Tibrewala
  • Journal Title: Phys. Rev D78(6),064057 Pages: 30
  • Peer Reviewed
• [Journal Article] Asymptotically Friedmann self-similar scalar field solutions with potential (2008)
  • Author(s): Masanori Kyo, Tomohiro Harada and Hideki Maeda
  • Journal Title: Phys. Rev D77(12),124036 Pages: 10
  • Peer Reviewed
• [Journal Article] Self-similar cosmological solutions with dark energy II : black holes, naked singularities and wormholes (2008)
  • Author(s): Hideki Maeda, Tomohiro Harada and B. J. Carr
  • Journal Title: Phys. Rev D77(2),024023 Pages: 12
  • Peer Reviewed
• [Journal Article] Self-similar cosmological solutions with dark energy I : formulation and asymptotic analysis (2008)
  • Author(s): Tomohiro Harada, Hideki Maeda and B. J. Carr
  • Journal Title: Phys. Rev D77(2),024022 Pages: 13
  • Peer Reviewed
• [Journal Article] Critical Collapse of Einstein Cluster (2007)
  • Author(s): Ashutosh Mahajan, Tomohiro Harada, Pankaj S. Joshi and Ken-ichi Nakao
  • Journal Title: Prog. Theor. Phys 118(5) Pages: 865-878
  • Peer Reviewed
• [Journal Article] Black Hole Evaporation in an Expanding Universe (2007)
  • Author(s): Hiromi Saida, Tomohiro Harada and Hideki Maeda
  • Journal Title: Class. Quantum Grav 24(18) Pages: 4711-4732
  • Peer Reviewed
• [Journal Article] Analytical solutions for black-hole critical behaviour (2007)
  • Author(s): Tomohiro Harada and Ashutosh Mahajan
  • Journal Title: Gen. Rel. Grav 39 Pages: 1847-1854
  • Peer Reviewed
• [Journal Article] Relativistic Gravitational Collapse of Cylindrical Dust (2007)
  • Author(s): Ken-ichi Nakao, Yasunari Kurita, Yoshiyuki Morisawa and Tomohiro Harada
  • Journal Title: Prog. Theor. Phys 117(1) Pages: 75-102
  • Peer Reviewed
• [Journal Article] Is there a black hole minimum mass? (2006)
  • Author(s): Tomohiro Harada
  • Journal Title: Phys. Rev D74(8),084004 Pages: 4
  • Peer Reviewed
• [Journal Article] Non-existence of self-similar solutions containing a black hole in a universe with a stiff fluid or scalar field or quintessence (2006)
  • Author(s): Tomohiro Harada, Hideki Maeda and B. J. Carr
  • Journal Title: Phys. Rev D74(2),024024 Pages: 17
  • Peer Reviewed
• [Presentation] Einstein-Rosen波と円筒対称時空における自己相似仮説 (2009)
  • Author(s): 原田知広、中尾憲一、B.C.Nolan
  • Organizer: 日本物理学会第64回年次大会
  • Place of Presentation: 立教大学
  • Year and Date: 2009-03-29
• [Presentation] Gravitational collapse of a dust ball from a perspective of loop quantum gravity : an application (2008)
  • Author(s): Tomohiro Harada
  • Organizer: The 18th Workshop on General Relativity and Gravitation, 17-21 Nov,2008
  • Place of Presentation: Hiroshima University, Hiroshima, Japan
  • Year and Date: 2008-11-20
• [Presentation] ループ量子重力の観点からの球対称ダスト重力崩壊:数値計算 (2008)
  • Author(s): 原田知広、M.Bojowald、R.Tibrewala
  • Organizer: 日本物理学会秋季大会
  • Place of Presentation: 山形大学
  • Year and Date: 2008-09-23
• [Presentation] Self-similar black holes in an accelerated universe (2008)
  • Author(s): Tomohiro Harada
  • Organizer: Spanish Relativity Meeting 2008, 15-19 Sep 2008
  • Place of Presentation: Hospederia Fonseca Conference Centre, Salamanca, Spain
  • Year and Date: 2008-09-15
• [Presentation] 重力崩壊の臨界現象の厳密な臨界解 (2008)
  • Author(s): 原田知広、A.Mahajan
  • Organizer: 日本物理学会第63回年次大会
  • Place of Presentation: 近畿大学
  • Year and Date: 2008-03-24
• [Presentation] Self-similar cosmological solutions with dark energy (2007)
  • Author(s): Tomohiro Harada
  • Organizer: The 17th Workshop on General Relativity and Gravitation, 3-7 Dec, 2007
  • Place of Presentation: Nagoya University, Nagoya, Japan. (poster and short talk)
  • Year and Date: 2007-12-03
• [Presentation] 暗黒エネルギー宇宙における自己相似的ブラックホール (2007)
  • Author(s): 原田知広、前田秀基、B.J.カー
  • Organizer: 日本物理学会秋季大会
  • Place of Presentation: 北海道大学
  • Year and Date: 2007-09-22
• [Presentation] Self-similar cosmological solutions with dark energy I : formulation and asymptotic analysis (2007)
  • Author(s): Tomohiro Harada, Hideki Maeda and B.J. Carr
  • Organizer: The 8th International Conference on Gravitation and Astrophysics,29 Aug-1 Sep 2007
  • Place of Presentation: Nara Women's University, Nara, Japan(poster and short talk,査読有)
  • Year and Date: 2007-08-29
• [Presentation] Black Hole Evaporation in a Friedmann Universe (2007)
  • Author(s): Hiromi Saida, Tomohiro Harada and Hideki Maeda
  • Organizer: The 8th International Conference on Gravitation and Astrophysics, 29 Aug-1 Sep 2007
  • Place of Presentation: Nara Women's University, Nara, Japan(poster and short talk,査読有)
  • Year and Date: 2007-08-29
• [Presentation] Asymptotically Friedmann Self-Similar Solutions with Dark Energy (2007)
  • Author(s): Tomohiro Harada, Hideki Maeda and B. J. Carr
  • Organizer: The 18th International Conference on General Relativity and Gravitation, 8-14 July 2007
  • Place of Presentation: Sydney Conference Centre, Sydney, Australia
  • Year and Date: 2007-07-12
• [Presentation] 暗黒エネルギー宇宙における自己相似的ブラックホール解の存在可能性について (2007)
  • Author(s): 前田秀基、 原田知広、B.J.カー
  • Organizer: 日本物理学会第62回年次大会
  • Place of Presentation: 首都大学東京
  • Year and Date: 2007-03-26
• [Presentation] Non-existence of self-similar black hole in a universe with a scalar field or quintessence (2006)
  • Author(s): Tomohiro Harada
  • Organizer: The 16th Workshop on General Relativity and Gravitation, 27 Nov-1 Dec, 2006
  • Place of Presentation: Niigata Prefectural Civic Center, Niigata, Japan
  • Year and Date: 2006-11-30
• [Presentation] Naked singularities and self-similarity in gravitational collapse (2006)
  • Author(s): Tomohiro Harada
  • Organizer: an invited talk, Workshop "From Geometry To Numerics", 20-24 Nov 2006
  • Place of Presentation: Institut Henri Poincare, Paris, France
  • Year and Date: 2006-11-24
• [Presentation] Singularities and Self-Similarity in Gravitational Collapse (2006)
  • Author(s): Tomohiro Harada
  • Organizer: an invited plenary talk, Hayashibara Forum on Singularities, 20-23 Nov 2006
  • Place of Presentation: Insitut des Hautes Etudes Scientifiques, Bur-sur-Yvette, France
  • Year and Date: 2006-11-21
• [Presentation] ブラックホールに最小質量はあるか? (2006)
  • Author(s): 原田知広
  • Organizer: 日本物理学会秋季大会
  • Place of Presentation: 奈良女子大学
  • Year and Date: 2006-09-23
• [Presentation] Black Holes in Scalar Field/Quintessence Cosmology (2006)
  • Author(s): Tomohiro Harada
  • Organizer: The 11th Marcel Grossmann Meeting on recent developments in theoretical and experimental general relativity, gravitation, relativistic field theories, 23-29 Jul 2006
  • Place of Presentation: Berlin Freie Universitaet, Berlin, Germany
  • Year and Date: 2006-07-24