A Classification of Spherically Symmetric Kinematic Self-Similar Perfect-Fluid Solutions. II(Astrophysics and Relativity)

スポンサーリンク

概要

• 論文の詳細を見る

• We give a classification of spherically symmetric kinematic self-similar solutions. This classification is complementary to that given in a previous work by the present authors [Prog. Theor. Phys. 108(2002), 819]. Dust solutions of the second, zeroth and infinite kinds, perfect-fluid solutions and vacuum solutions of the first kind are treated. The kinematic self-similarity vector is either parallel or orthogonal to the fluid flow in the perfect-fluid and vacuum cases, while the 'tilted' case, i.e., neither parallel nor orthogonal case, is also treated in the dust case. In the parallel case, there are no dust solutions of the second (except when the self-similarity index α is 3/2), zeroth and infinite kinds, and in the orthogonal case, there are no dust solutions of the second and infinite kinds. Except in these cases, the governing equations can be integrated to give exact solutions. It is found that the dust solutions in the tilted case belong to a subclass of the Lemaitre-Tolman-Bondi family of solutions for the marginally bound case. The flat Friedmann-Robertson-Walker (FRW) solution is the only dust solution of the second kind with α = 3/2 in the tilted and parallel cases and of the zeroth kind in the orthogonal case. The flat, open and closed FRW solutions with p = -μ/3, where p and μ, are the pressure and energy density, respectively, are the only perfect-fluid first-kind self-similar solutions in the parallel case, while a new exact solution with p - μ, which we call the "singular stiff-fluid solution", is the only such solution in the orthogonal case. The Minkowski solution is the only vacuum first-kind self-similar solution both in the parallel and orthogonal cases. Some important corrections and complements to the authors' previous work are also presented.

• 理論物理学刊行会の論文
• 2003-07-25

著者

• Harada Tomohiro

  Department of Cardiovascular Medicine, University of Tokyo

• Harada Tomohiro

  Department Of Cardiovascular Medicine Graduate School Of Medicine University Of Tokyo

• 原田 融

  Sapporo Gakuin Univ. Ebetsu Jpn

• Harada T

  Department Of Physics Waseda University

• IGUCHI Hideo

  Department of Physics, Tokyo Institute of Technology

• 原田 融

  札幌学院大

• MAEDA Hideki

  Advanced Research Institute for Science and Engineering, Waseda University

• OKUYAMA Naoya

  Department of Physics, Waseda University

• Igughi Hideo

  Department Of Physics Tokyo Institute Of Technology

• Maeda H

  Advanced Research Institute For Science And Engineering Waseda University

• Maeda Hideki

  Advanced Research Institute For Science And Engineering Waseda University

• Okuyama Naoya

  Department Of Physics Waseda University

• Harada Tomohiro

  Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un

• IGUCHI Hideo

  Department of Physics, Kyoto University

• HARADA Toru

  Department of Social Information, Sapporo Gakuin University:Institute of Socio-Information and Communication Studies (ISICS) University of Tokyo

関連論文

• Relativistic Gravitational Collapse of a Cylindrical Shell of Dust. II : Settling Down Boundary Condition(Astrophysics and Cosmology)
• PJ-482 The Polymorphism in the Adiponectin Gene is Associated with Susceptibility to Coronary Artery Disease(Atherosclerosis, clinical-11 (H) PJ81,Poster Session (Japanese),The 70th Anniversary Annual Scientific Meeting of the Japanese Circulation Society
• ATP binding Cassette Transporter (ABCA1) variant is one of the determinantsof plasma high density lipoprotein level in Japanese population
• Evidence for association of Ser326Cys polymorphism in 8-oxyguanin DNA glycosylase (OGG1) with susceptibility to coronary heart disease in Japanese
• The Matrix Metalloproteinase-1 (MMP-1) 1G/2G Polymorphism and the Matrix Metalloproteinase-3 (MMP-3) 5A/6A Polymorphism are Useful Genetic Markers for Myocardial Infarction
• Peripheral Biological Clocks Exist in Cultured Cardiomyocytes
• Establishment of clinical data management system and its practical application to genetic epidemiology in cardiovascular medicine
• Development of a Pioneering Clinical Support System Utilizing Information Technology : Clinical Informatics and Genome Analysis
• Successful Three-Dimensional Reconstruction Using Transesophageal Echocardiography in a Patient with a Left Atrial Myxoma
• Successful Catheter Intervention for Acute Coronary Syndrome in a Patient with Antiphospholipid Syndrome
• Genetic Analysis in a Patient With Recurrent Cardiac Myxoma and Endocrinopathy
• シグマハイパー核は存在した!
• PJ-409 Angiotensin II and Cholesterol Synergistically Induce Endothelial Dysfunction by eNOS Trafficking(Atherosclerosis, basic(07)(IHD),Poster Session(Japanese),The 72nd Annual Scientific Meeting of the Japanese Circulation Society)
• OE-174 Molecular Mechanism of Soluble Form of VEGFR-1 (sVEGFR-1)Expression in Vascular Endothelial Cell(Molecular biology, vascular(01)(IHD),Oral Presentation(English),The 72nd Annual Scientific Meeting of the Japanese Circulation Society)
• OE-019 Peripheral Clock Regulates Circadian Thrombomodulin Gene Expression in Vascular Endothelial Cells(Molecular biology, vascular-1 (H) OE4,Oral Presentation (English),The 70th Anniversary Annual Scientific Meeting of the Japanese Circulation Society)
• The Significant Association of Genetic Polymorphisms in the KLF5 Gene with Coronary Artery Disease(Atherosclerosis, Clinical 9 (IHD), The 69th Annual Scientific Meeting of the Japanese Circulation Society)
• Resistin Induces Adhesion Molecules through NF-κB Pathway in Vascular Endothelial Cells(Infection/Inflammation/Immunity 2 (H), The 69th Annual Scientific Meeting of the Japanese Circulation Society)
• Resistin Inhibits Endothelial Cell Migration and Angiogenesis(Metabolic Syndrome (H), The 69th Annual Scientific Meeting of the Japanese Circulation Society)
• Hypoxia Inducible Factor Mediates Angiotensin II-Induced Cardiac Hypertrophy(Renin-angiotensin-aldosterone System (H), The 69th Annual Scientific Meeting of the Japanese Circulation Society)
• PJ-447 The genetic polymorphisms in the insulin-resistance related genes as coronary risks(Preventive Medicine/Epidemiology/Education 4 (H) : PJ75)(Poster Session (Japanese))
• OJ-171 CRP Induces PAI-1 Gene Expression through Tyrosine Kinase and NF-κB Signaling Pathways(Infection/Inflammation/Immunity 1 (H) : OJ20)(Oral Presentation (Japanese))
• アルゴリズム理解能力の分析 (「情報処理教育」研究会プログラム)
• PADを用いたプログラミング教育の試み
• OE-301 Direct Reciprocal Effect of Resistin and Adiponectin on Vascular Endothelial Cells(Endothelium/NO 4 (H) : OE38)(Oral Presentation (English))
• OE-009 Delivery of Endothelial PAS Domain Protein1 Gene Promotes Angiogenesis through the Transactivation of Both VEGF and Its Receptor, Flt-1(Vasoactive Compound/Growth Factor/Cytokine 1 (H) : OE2)(Oral Presentation (English))
• Angiotensin II Type I Receptor Antagonist Prevents Renal Damage in Aged Transgenic Mice Overexpressing Endothelin-1
• Insulin Receptor Substrate Deficient Mice Demonstrates Elevated Blood Pressure and Endothelial Cell Dysfunction
• Delivery of Endothelial PAS Domain Protein1 Gene Promotes Anglogenesis through the Transactivation of Both VEGF and Its Receptor, Flt-1
• The Significant Association of the Genetic Polymorphisms of Werner Helicase and β2 Adrenergic Receptor with Susceptibility to Coronary Heart Disease
• Direct Proatherogenic Effect of C-Reactive Protein on Vascular Endothelial Cells
• Left Cervical Aortic Arch With Aortic Coarctation and Saccular Aneurysm
• 5 Establishment of clinical database system and identification of genetic factors contributing to the pathogenesis of atheroscherosis(Symposium 4 (SY4) (IHD) : Molecular Mechanism of Atherosclerosis)(Special Program)
• Proteinases Including MMPs Are Involved in the Pathogenesis of Aortic Aneurysm : A Study of the Transcription Profile with DMA Microarray
• 29a-ZM-2 ハイペロン-重陽子散乱
• Physical Processes in Naked Singularity Formation
• Gravitational Radiation from a Naked Singularity. II : Even -Parity Perturbation
• Gravitational Radiation from a Naked Singularity : Odd-Parity Perturbation : Astrophysics and Relativity
• Insulin Receptor Substrate Deficient Mice Serve as Animal Models of Endothelial Cell Dysfunction due to Insulin Resistance
• Continuous-Time Random Walk Approach to On-Off Diffusion
• Quadrupole oscillations of quark stars
• 社会調査情報データベース(その1)
• 7a-F-8 シグマハイパー核の分子的構造
• 30p-Q-8 ^9Beを標的にしたΣハイパー核生成スペクトルII
• 30p-E-4 ^9Beを標的にしたΣハイパー核生成スペクトル
• A Classification of Spherically Symmetric Kinematic Self-Similar Perfect-Fluid Solutions. II(Astrophysics and Relativity)
• A Classification of Spherically Symmetric Kinematic Self-Similar Perfect-Fluid Solutions. II
• A Classification of Spherically Symmetric Kinematic Self-Similar Perfect-Fluid Solutions
• 5a-G-8 Strangeness Exchange Reactions on a Helium Target II
• 31p-H-4 Strangeness Exchange Reactions on a Helium Target
• 28a-YN-4 相対論的平均場による多重ストレンジネス核の研究
• ハイパー核構造と対称性(ハイペロン-核子相互作用とその関連する話題,研究会報告)
• 7a-F-9 相対論的平均場によるハイパー核の研究
• Σ-Hypernuclear Responses in ^4He(In-Flight K^-,π) Spectra
• 29a-SE-7 Σハイパー核物理の最近の進展
• 大学初年次におけるアルゴリズム教育 (アルゴリズム教育ワークショップ)
• 束縛されたシグマハイパー原子核 ^4_ΣHe
• 4a-A-12 ^4He(K^-, π^+)反応とΣN→ΛN転換過程
• Effect of Transition Metal Additives on Catalytic Activity of SnO_2 for the Selective Reduction of NO with C_2H_4
• Selective Reduction of Nitrogen Monoxide with Hydrocarbons over SnO_2 Catalyst
• Quantum Fluctuation Effects on Hyperfragment Formation from Ξ^- Absorption at Rest on ^C
• Chapter 6 Gravitational Physics in Scalar-Tensor Theories : Tests of Strong Field Gravity
• Relativistic Gravitational Collapse of a Cylindrical Shell of Dust(Astrophysics and Relativity)
• Is Dark Energy the Only Solution to the Apparent Acceleration of the Present Universe?
• Quantum Effect and Curvature Strength of Naked Singularities(Astrophysics and Relativity)
• Endothelial PAS Domain Protein 1 (EPAS1) Regulates the Fit-1 Gene Expression in Hypoxia
• Critical Collapse of Einstein Cluster(Astrophysics and Relativity)
• A-12: Kink Instability and Stabilization of the Friedmann Universe(Part II: Poster Contributions, The Next Chapter in Einstein's Legacy)
• Resection of Pheochromocytoma Restored Ischemia-Like Electrocardiogram, But May Not Have Reversed Myocardial Damage
• Computing gravitational waves from supermassive stars to black holes : Odd-parity perturbation
• Stability Analysis of Spherically Symmetric Star in Scalar-Tensor Theories of Gravity : Astrophysics and Relativity
• Gravitational Physics in Scalar-Tensor Theories : Tests of Strong Field Gravity
• A-35: The Size of Primordial Black Holes(Part II: Poster Contributions, The Next Chapter in Einstein's Legacy)

もっと見る 閉じる

スポンサーリンク