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Analysis of light ray and polarization towards observational verification of black holes

Research Project

Project/Area Number 24540282
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionOsaka City University

Principal Investigator

ISHIHARA Hideki  大阪市立大学, 大学院理学研究科, 教授 (80183739)

Co-Investigator(Kenkyū-buntansha) 古池 達彦  慶應義塾大学, 理工学部(矢上), 講師 (40286646)
Project Period (FY) 2012-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords相対性理論 / 宇宙論 / ブラックホール / 光の測地線 / コンパクト天体 / 重力レンズ / 一般相対論 / 光線 / 軌道角運動量 / 光渦 / カー時空 / 測地線 / 偏光
Outline of Final Research Achievements

Black hole shadow is expected to be observed if continuous light source is distributed around the black hole. Owing to unstable circular orbits of photon around the black hole, bright ring on the edge of the shadow appears. The radius of the ring is determined by the mass and angular momentum of the black hole.
We clarified that the radius of a class of bound orbits of photon around the Kerr black hole approaches to the event horizon if the rotation of the black hole becomes maximum. The shear of the congruence of the photon orbits vanishes, then we can observe the photon orbit winding the horizon of the maximally rotating black holes.
Optical vortices, the wave front is helicoid, carry orbital angular momentum. Using an improved eikonal approximation, we derived equations that describe the orbits of optical vortex. Optical vortex around a rotating black hole differs from the null geodesic by the interaction between the optical vortex and angular momentum of the black hole.

Report

(6 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (39 results)

All 2017 2016 2015 2014 2013 2012

All Journal Article (11 results) (of which Peer Reviewed: 11 results,  Acknowledgement Compliant: 6 results) Presentation (28 results) (of which Int'l Joint Research: 3 results,  Invited: 2 results)

  • [Journal Article] Charged black strings in a five-dimensional Kasner universe2016

    • Author(s)
      Hideki Ishihara, Masashi Kimura, Ken Matsuno
    • Journal Title

      Phys.Rev. D

      Volume: 93 Issue: 2 Pages: 024037-024037

    • DOI

      10.1103/physrevd.93.024037

    • Related Report
      2016 Annual Research Report 2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] A pair of extremal charged black holes on Kerr-Taub-bolt space2015

    • Author(s)
      Ken Matsuno, Hideki Ishihara, Masashi Kimura
    • Journal Title

      Class.Quant.Grav.

      Volume: 32 Issue: 21 Pages: 215008-18

    • DOI

      10.1088/0264-9381/32/21/215008

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Integrability of Particle System around a Ring Source as the Newtonian Limit of a Black Ring2015

    • Author(s)
      Takahisa Igata, Hideki Ishihara, Hirotaka Yoshino
    • Journal Title

      Phys.Rev. D

      Volume: 91 Issue: 8 Pages: 084042-7

    • DOI

      10.1103/physrevd.91.084042

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Membranes with a symmetry of cohomogeneity one2015

    • Author(s)
      Hiroshi Kozaki, Tatsuhiko Koike, Hideki Ishihara
    • Journal Title

      Phys.Rev. D

      Volume: 91 Issue: 2 Pages: 025007-12

    • DOI

      10.1103/physrevd.91.025007

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] A simple diagnosis of non-smoothness of black hole horizon: Curvature singularity at horizons in extremal Kaluza-Klein black holes2015

    • Author(s)
      M. Kimura, H. Ishihara, K. Matsuno and T. Tanaka,
    • Journal Title

      Class. Quant. Grav.

      Volume: 32 Issue: 1 Pages: 015005015025-015005015025

    • DOI

      10.1088/0264-9381/32/1/015005

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Charged Black Holes in a Five-dimensional Kaluza-Klein Universe2014

    • Author(s)
      Yuki Kanou, Hideki Ishihara , Masashi Kimura , Ken Matsuno, Takamitsu Tatsuoka
    • Journal Title

      Phys.Rev. D

      Volume: 90 Issue: 8 Pages: 084004-8

    • DOI

      10.1103/physrevd.90.084004

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Stable Bound Orbits of Massless Particles around a Black Ring2013

    • Author(s)
      Igata, Takahisa and Ishihara, Hideki and Takamori, Yohsuke,
    • Journal Title

      Phys.Rev.

      Volume: D87 Issue: 10 Pages: 104005-104005

    • DOI

      10.1103/physrevd.87.104005

    • Related Report
      2013 Research-status Report 2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Charged rotating Kaluza-Klein multi-black holes and multi-black strings in five-dimensional Einstein-Maxwell theory2012

    • Author(s)
      K. Matsuno, H. Ishihara, M. Kimura, T. Tatsuoka
    • Journal Title

      Physical Review D

      Volume: 86 Issue: 10 Pages: 104054-104054

    • DOI

      10.1103/physrevd.86.104054

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Stationary Closed Strings in Five-dimensional Flat Spacetime2012

    • Author(s)
      伊形尚久, 石原秀樹, 西脇圭介
    • Journal Title

      Physical Review D

      Volume: 86 Issue: 10 Pages: 104020-104020

    • DOI

      10.1103/physrevd.86.104020

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Kaluza-Klein vacuum multi-black holes in five-dimensions2012

    • Author(s)
      K. Matsuno, H. Ishihara, M. Kimura, T. Tatsuoka
    • Journal Title

      Physical Review D

      Volume: 86 Issue: 4 Pages: 4403-4403

    • DOI

      10.1103/physrevd.86.044036

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Extremal charged black holes with a twisted extra dimension2012

    • Author(s)
      龍岡聖満, 石原秀樹, 木村匡志, 松野研
    • Journal Title

      Physical Review D

      Volume: 85 Issue: 4 Pages: 44006-44006

    • DOI

      10.1103/physrevd.85.044006

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] Black hole submerged in AdS2017

    • Author(s)
      石原秀樹, 松野皐月
    • Organizer
      日本物理学会第72回年次大会
    • Place of Presentation
      大阪大学 豊中キャンパス (大阪府豊中市)
    • Year and Date
      2017-03-17
    • Related Report
      2016 Annual Research Report
  • [Presentation] プラズマ中の密度波ソリトンによる荷電粒子加速2017

    • Author(s)
      松野研, 石原秀樹, 寺前柊斗, 高橋真聡
    • Organizer
      日本物理学会第72回年次大会
    • Place of Presentation
      大阪大学 豊中キャンパス (大阪府豊中市)
    • Year and Date
      2017-03-17
    • Related Report
      2016 Annual Research Report
  • [Presentation] Weak charge shielding effect in a symmetry broken phase in SU(2)×U(1) gauge theory2017

    • Author(s)
      小川達也, 石原秀樹
    • Organizer
      日本物理学会第72回年次大会
    • Place of Presentation
      大阪大学 豊中キャンパス (大阪府豊中市)
    • Year and Date
      2017-03-17
    • Related Report
      2016 Annual Research Report
  • [Presentation] Nambu-Goto strings with geometrical symmetry2016

    • Author(s)
      石原 秀樹
    • Organizer
      26th Workshop on General Relativity and Gravitation in Japan
    • Place of Presentation
      大阪市立大学 杉本キャンパス (大阪府大阪市)
    • Year and Date
      2016-10-24
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 電荷を遮蔽する宇宙ひもの励起状態2016

    • Author(s)
      小川達也, 石原秀樹
    • Organizer
      日本物理学会 第71回年次大会
    • Place of Presentation
      東北学院大学 泉キャンパス ( 宮城県・仙台市)
    • Year and Date
      2016-03-19
    • Related Report
      2015 Research-status Report
  • [Presentation] Electrostatic shielding by a scalar-field soliton2016

    • Author(s)
      小川達也, 石原秀樹
    • Organizer
      第17回 特異点研究会
    • Place of Presentation
      慶応大学日吉キャンパス ( 神奈川県・横浜市)
    • Year and Date
      2016-01-09
    • Related Report
      2015 Research-status Report
  • [Presentation] Cosmic string shielding of electric field of line charge2015

    • Author(s)
      Tatsuya Ogawa and Hideki Ishihara
    • Organizer
      25th JGRG workshop
    • Place of Presentation
      Yukawa Institute Kyoto University ( 京都府・京都市)
    • Year and Date
      2015-12-07
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 線電荷による電場を遮蔽する宇宙ひも2015

    • Author(s)
      小川達也, 石原秀樹
    • Organizer
      日本物理学会 2015年秋季大会
    • Place of Presentation
      大阪市立大学 ( 大阪府・大阪市)
    • Year and Date
      2015-09-25
    • Related Report
      2015 Research-status Report
  • [Presentation] Kerr-Taub-bolt空間上の5次元多体ブラックホール2015

    • Author(s)
      松野研,石原秀樹,木村匡志
    • Organizer
      日本物理学会 2015年秋季大会
    • Place of Presentation
      大阪市立大学 ( 大阪府・大阪市)
    • Year and Date
      2015-09-25
    • Related Report
      2015 Research-status Report
  • [Presentation] Propagation of an optical vortex in a curved space-time2015

    • Author(s)
      Hideki Ishihara, Atsuki Masuda, Shin-ichiro Kinoshita
    • Organizer
      14-th Marcel Grossmann Meeting
    • Place of Presentation
      University of Rome ( Rome, Italy)
    • Year and Date
      2015-07-12
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Kerr-Taub-bolt空間上の5次元多体ブラックホール2015

    • Author(s)
      松野研,石原秀樹,木村匡志
    • Organizer
      日本物理学会 第70回年次大会
    • Place of Presentation
      早稲田大学早稲田キャンパス
    • Year and Date
      2015-03-21 – 2015-03-24
    • Related Report
      2014 Research-status Report
  • [Presentation] Black holes induced by a Killing reduction of AdS space2015

    • Author(s)
      石原秀樹
    • Organizer
      第16回特異点研究会
    • Place of Presentation
      名古屋大学本山キャンパス
    • Year and Date
      2015-01-10 – 2015-01-12
    • Related Report
      2014 Research-status Report
  • [Presentation] 回転ブラックホールと光の軌道角運動量2014

    • Author(s)
      西川隆介,桝田篤樹,中尾憲一,石原秀樹,南部保貞
    • Organizer
      日本物理学会 2014年秋季大会
    • Place of Presentation
      佐賀大学本庄キャンパス
    • Year and Date
      2014-11-18 – 2014-11-21
    • Related Report
      2014 Research-status Report
  • [Presentation] 5次元ブラックリングのニュートン極限における質点系の可積分性2014

    • Author(s)
      伊形尚久,石原秀樹,吉野裕高
    • Organizer
      日本物理学会 2014年秋季大会
    • Place of Presentation
      佐賀大学本庄キャンパス
    • Year and Date
      2014-11-18 – 2014-11-21
    • Related Report
      2014 Research-status Report
  • [Presentation] Charged multi-black strings in a five-dimensional Kaluza-Klein universe2014

    • Author(s)
      Hideki Ishihara, Masashi Kimura, Ken Matsuno
    • Organizer
      24th JGRG workshop
    • Place of Presentation
      IPMU Tokyo University, Kashiwa campus
    • Year and Date
      2014-11-10 – 2014-11-14
    • Related Report
      2014 Research-status Report
  • [Presentation] Multi-black holes on Kerr-Taub-bolt spacein five-dimensional Einstein-Maxwell theory2014

    • Author(s)
      Ken Matsuno, Hideki Ishihara, Masashi Kimura
    • Organizer
      24th JGRG workshop
    • Place of Presentation
      IPMU Tokyo University, Kashiwa campus
    • Year and Date
      2014-11-10 – 2014-11-14
    • Related Report
      2014 Research-status Report
  • [Presentation] Black holes on an orbit space of isometry action on AdS spacetime2014

    • Author(s)
      石原秀樹
    • Organizer
      Workshop on geometry, extra dimensions and string phenomenology in Miyazak
    • Place of Presentation
      ANA ホリデー・イン・宮崎 宮崎市
    • Year and Date
      2014-11-04 – 2014-11-06
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Propagation of an optical vortex beam around a Kerr black hole2014

    • Author(s)
      A.Masuda, H.Ishihara, S.Kinoshita
    • Organizer
      Spanish Relativity Meeting-ERE
    • Place of Presentation
      University of Valencia,Valencia Spain
    • Year and Date
      2014-09-01 – 2014-09-05
    • Related Report
      2014 Research-status Report
  • [Presentation] Propagation of twisted waves in a Kerr space-time2013

    • Author(s)
      Atsuki Masuda, Shunichiro Kinoshita, Hideki Ishihara
    • Organizer
      23th Workshop on General Relativity and Gravitation
    • Place of Presentation
      Hirosaki University
    • Related Report
      2013 Research-status Report
  • [Presentation] An exact solution describing a closed membrane without spherical symmetry2013

    • Author(s)
      Hiroshi KOZAKI, Hideki Ishihara, Tatsuhiko Koike
    • Organizer
      23th Workshop on General Relativity and Gravitation
    • Place of Presentation
      Hirosaki University
    • Related Report
      2013 Research-status Report
  • [Presentation] ブラックホール地平面上の曲率特異点の解析方法について2013

    • Author(s)
      木村匡志,石原秀樹,松野研,田中貴浩
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      高知大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Kerr時空中での光渦の軌道の測地線からのずれ2013

    • Author(s)
      桝田篤樹,石原秀樹,木下俊一郎,中尾憲一
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      高知大学
    • Related Report
      2013 Research-status Report
  • [Presentation] ブラックホールシャドウとKerrパラメータ2013

    • Author(s)
      高田真聡,石原秀樹,伊形尚久
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      高知大学
    • Related Report
      2013 Research-status Report
  • [Presentation] 角運動量をもった波動のカー時空での伝播2013

    • Author(s)
      桝田篤樹,石原秀樹,中尾憲一
    • Organizer
      日本物理学会 第68回年次大会
    • Place of Presentation
      関西学院大学
    • Related Report
      2012 Research-status Report
  • [Presentation] ブラックホールシャドウの周縁部の明るさについて2013

    • Author(s)
      高田真聡
    • Organizer
      日本物理学会 第68回年次大会
    • Place of Presentation
      関西学院大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 4次元Melvin解から生成される正則な5次元Kaluza-Klein時空2012

    • Author(s)
      孝森洋介,石原秀樹
    • Organizer
      日本物理学会 2012年 秋季大会
    • Place of Presentation
      京都産業大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 重力インスタントン上の5次元多体ブラックホール2012

    • Author(s)
      松野研,石原秀樹,木村匡志,龍岡聖満
    • Organizer
      日本物理学会 2012年 秋季大会
    • Place of Presentation
      京都産業大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Stable Null Bound Orbits around a Black Ring2012

    • Author(s)
      H.Ishihara, T.Igata, Y.Takamori
    • Organizer
      22th JGRG workshop
    • Place of Presentation
      University of Tokyo
    • Related Report
      2012 Research-status Report

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Published: 2013-05-31   Modified: 2019-07-29  

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