Shadow cast by Kerr-like black hole in the presence of plasma in Einstein-bumblebee gravity

被引：38

作者：

Wang, Hui-Min ^{[1
,2
,3
,4
]}

Wei, Shao-Wen ^{[1
,2
,3
,4
]}

机构：

[1] Lanzhou Univ, Sch Phys Sci & Technol, Lanzhou Ctr Theoret Phys, Key Lab Theoret Phys Gansu Prov, Lanzhou 730000, Peoples R China

[2] Lanzhou Univ, Inst Theoret Phys, Lanzhou 730000, Peoples R China

[3] Lanzhou Univ, Res Ctr Gravitat, Lanzhou 730000, Peoples R China

[4] Qinghai Normal Univ, Acad Plateau Sci & Sustainabil, Xining 810016, Peoples R China

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2022年 / 137卷 / 05期

基金：

中国国家自然科学基金;

关键词：

OPTICAL-PROPERTIES; LORENTZ SYMMETRY; ACCRETION DISKS; M87; LIGHT; JET; DEFLECTION; SPACETIME; TESTS;

D O I：

10.1140/epjp/s13360-022-02785-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the Einstein-bumblebee gravity, the Lorentz symmetry is spontaneously broken by a vector field. In this paper, we attempt to test the Lorentz symmetry via the observation of the shadow cast by the Kerr-like black hole with or without plasma. A novel phenomenon of the Lorentz-violating parameter on the shadow is observed. The result shows that when the observer gradually moves from the poles to the equatorial plane, the shadow radius R-s firstly decreases and then increases with the Lorentz-violating parameter. Such nonmonotonic behavior provides us an important understanding on the black hole shadow in the Einstein-bumblebee gravity. Besides, three more distortion observables are calculated, and found to increase with the Lorentz-violating parameter. The influence of the Lorentz-violating parameter on the deflection angle of light rays is also calculated via the Gauss-Bonnet theorem. When a homogeneous plasma is present, the motion of the photon is analyzed. We further observe that the frequency of plasma shrinks the size, while enhances the deformation of the shadow. Finally, adopting the observed data of the diameter of M87*, we find the favored range of some parameters.

引用

页数：17

共 105 条

[1] Distorted local shadows [J].

Abdolrahimi, Shohreh ;

Mann, Robert B. ;

Tzounis, Christos .

PHYSICAL REVIEW D, 2015, 91 (08)

[2] A coordinate-independent characterization of a black hole shadow [J].

Abdujabbarov, A. A. ;

Rezzolla, L. ;

Ahmedov, B. J. .

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2015, 454 (03) :2423-2435

[3] Shadow of the rotating black hole with quintessential energy in the presence of plasma [J].

Abdujabbarov, Ahmadjon ;

Toshmatov, Bobir ;

Stuchlik, Zdenek ;

Ahmedov, Bobomurat .

INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2017, 26 (06)

[4] First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole [J].

Akiyama, Kazunori ;

Alberdi, Antxon ;

Alef, Walter ;

Asada, Keiichi ;

Azulay, Rebecca ;

Baczko, Anne-Kathrin ;

Ball, David ;

Balokovic, Mislav ;

Barrett, John ;

Bintley, Dan ;

Blackburn, Lindy ;

Boland, Wilfred ;

Bouman, Katherine L. ;

Bower, Geoffrey C. ;

Bremer, Michael ;

Brinkerink, Christiaan D. ;

Brissenden, Roger ;

Britzen, Silke ;

Broderick, Avery E. ;

Broguiere, Dominique ;

Bronzwaer, Thomas ;

Byun, Do-Young ;

Carlstrom, John E. ;

Chael, Andrew ;

Chan, Chi-Kwan ;

Chatterjee, Shami ;

Chatterjee, Koushik ;

Chen, Ming-Tang ;

Chen, Yongjun ;

Cho, Ilje ;

Christian, Pierre ;

Conway, John E. ;

Cordes, James M. ;

Crew, Geoffrey B. ;

Cui, Yuzhu ;

Davelaar, Jordy ;

De Laurentis, Mariafelicia ;

Deane, Roger ;

Dempsey, Jessica ;

Desvignes, Gregory ;

Dexter, Jason ;

Doeleman, Sheperd S. ;

Eatough, Ralph P. ;

Falcke, Heino ;

Fish, Vincent L. ;

Fomalont, Ed ;

Fraga-Encinas, Raquel ;

Friberg, Per ;

Fromm, Christian M. ;

Gomez, Jose L. .

ASTROPHYSICAL JOURNAL LETTERS, 2019, 875 (01)

[5] First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring [J].

Akiyama, Kazunori ;

Alberdi, Antxon ;

Alef, Walter ;

Asada, Keiichi ;

Azulay, Rebecca ;

Baczko, Anne-Kathrin ;

Ball, David ;

Balokovic, Mislav ;

Barrett, John ;

Bintley, Dan ;

Blackburn, Lindy ;

Boland, Wilfred ;

Bouman, Katherine L. ;

Bower, Geoffrey C. ;

Bremer, Michael ;

Brinkerink, Christiaan D. ;

Brissenden, Roger ;

Britzen, Silke ;

Broderick, Avery E. ;

Broguiere, Dominique ;

Bronzwaer, Thomas ;

Byun, Do-Young ;

Carlstrom, John E. ;

Chael, Andrew ;

Chan, Chi-kwan ;

Chatterjee, Shami ;

Chatterjee, Koushik ;

Chen, Ming-Tang ;

Chen, Yongjun ;

Cho, Ilje ;

Christian, Pierre ;

Conway, John E. ;

Cordes, James M. ;

Crew, Geoffrey B. ;

Cui, Yuzhu ;

Davelaar, Jordy ;

De Laurentis, Mariafelicia ;

Deane, Roger ;

Dempsey, Jessica ;

Desvignes, Gregory ;

Dexter, Jason ;

Doeleman, Sheperd S. ;

Eatough, Ralph P. ;

Falcke, Heino ;

Fish, Vincent L. ;

Fomalont, Ed ;

Fraga-Encinas, Raquel ;

Friberg, Per ;

Fromm, Christian M. ;

Gomez, Jose L. .

ASTROPHYSICAL JOURNAL LETTERS, 2019, 875 (01)

[6] First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole [J].

Akiyama, Kazunori ;

Alberdi, Antxon ;

Alef, Walter ;

Asada, Keiichi ;

Azulay, Rebecca ;

Baczko, Anne-Kathrin ;

Ball, David ;

Balokovic, Mislav ;

Barrett, John ;

Bintley, Dan ;

Blackburn, Lindy ;

Boland, Wilfred ;

Bouman, Katherine L. ;

Bower, Geoffrey C. ;

Bremer, Michael ;

Brinkerink, Christiaan D. ;

Brissenden, Roger ;

Britzen, Silke ;

Broderick, Avery E. ;

Broguiere, Dominique ;

Bronzwaer, Thomas ;

Byun, Do-Young ;

Carlstrom, John E. ;

Chael, Andrew ;

Chan, Chi-Kwan ;

Chatterjee, Shami ;

Chatterjee, Koushik ;

Chen, Ming-Tang ;

Chen, Yongjun ;

Cho, Ilje ;

Christian, Pierre ;

Conway, John E. ;

Cordes, James M. ;

Crew, Geoffrey B. ;

Cui, Yuzhu ;

Davelaar, Jordy ;

De Laurentis, Mariafelicia ;

Deane, Roger ;

Dempsey, Jessica ;

Desvignes, Gregory ;

Dexter, Jason ;

Doeleman, Sheperd S. ;

Eatough, Ralph P. ;

Falcke, Heino ;

Fish, Vincent L. ;

Fomalont, Ed ;

Fraga-Encinas, Raquel ;

Freeman, William T. ;

Friberg, Per ;

Fromm, Christian M. .

ASTROPHYSICAL JOURNAL LETTERS, 2019, 875 (01)

[7] First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole [J].

Akiyama, Kazunori ;

Alberdi, Antxon ;

Alef, Walter ;

Asada, Keiichi ;

Azulay, Rebecca ;

Baczko, Anne-Kathrin ;

Ball, David ;

Balokovic, Mislav ;

Barrett, John ;

Bintley, Dan ;

Blackburn, Lindy ;

Boland, Wilfred ;

Bouman, Katherine L. ;

Bower, Geoffrey C. ;

Bremer, Michael ;

Brinkerink, Christiaan D. ;

Brissenden, Roger ;

Britzen, Silke ;

Broderick, Avery E. ;

Broguiere, Dominique ;

Bronzwaer, Thomas ;

Byun, Do-Young ;

Carlstrom, John E. ;

Chael, Andrew ;

Chan, Chi-kwan ;

Chatterjee, Shami ;

Chatterjee, Koushik ;

Chen, Ming-Tang ;

Chen, Yongjun ;

Cho, Ilje ;

Christian, Pierre ;

Conway, John E. ;

Cordes, James M. ;

Crew, Geoffrey B. ;

Cui, Yuzhu ;

Davelaar, Jordy ;

De Laurentis, Mariafelicia ;

Deane, Roger ;

Dempsey, Jessica ;

Desvignes, Gregory ;

Dexter, Jason ;

Doeleman, Sheperd S. ;

Eatough, Ralph P. ;

Falcke, Heino ;

Fish, Vincent L. ;

Fomalont, Ed ;

Fraga-Encinas, Raquel ;

Freeman, William T. ;

Friberg, Per ;

Fromm, Christian M. .

ASTROPHYSICAL JOURNAL LETTERS, 2019, 875 (01)

[8] First M87 Event Horizon Telescope Results. III. Data Processing and Calibration [J].

Akiyama, Kazunori ;

Alberdi, Antxon ;

Alef, Walter ;

Asada, Keiichi ;

Azulay, Rebecca ;

Baczko, Anne-Kathrin ;

Ball, David ;

Balokovic, Mislav ;

Barrett, John ;

Bintley, Dan ;

Blackburn, Lindy ;

Boland, Wilfred ;

Bouman, Katherine L. ;

Bower, Geoffrey C. ;

Bremer, Michael ;

Brinkerink, Christiaan D. ;

Brissenden, Roger ;

Britzen, Silke ;

Broderick, Avery E. ;

Broguiere, Dominique ;

Bronzwaer, Thomas ;

Byun, Do-Young ;

Carlstrom, John E. ;

Chael, Andrew ;

Chan, Chi-kwan ;

Chatterjee, Shami ;

Chatterjee, Koushik ;

Chen, Ming-Tang ;

Chen, Yongjun ;

Cho, Ilje ;

Christian, Pierre ;

Conway, John E. ;

Cordes, James M. ;

Crew, Geoffrey B. ;

Cui, Yuzhu ;

Davelaar, Jordy ;

De Laurentis, Mariafelicia ;

Deane, Roger ;

Dempsey, Jessica ;

Desvignes, Gregory ;

Dexter, Jason ;

Doeleman, Sheperd S. ;

Eatough, Ralph P. ;

Falcke, Heino ;

Fish, Vincent L. ;

Fomalont, Ed ;

Fraga-Encinas, Raquel ;

Friberg, Per ;

Fromm, Christian M. ;

Gomez, Jose L. .

ASTROPHYSICAL JOURNAL LETTERS, 2019, 875 (01)

[9] First M87 Event Horizon Telescope Results. II. Array and Instrumentation [J].

Akiyama, Kazunori ;

Alberdi, Antxon ;

Alef, Walter ;

Asada, Keiichi ;

Azulay, Rebecca ;

Baczko, Anne-Kathrin ;

Ball, David ;

Balokovic, Mislav ;

Barrett, John ;

Bintley, Dan ;

Blackburn, Lindy ;

Boland, Wilfred ;

Bouman, Katherine L. ;

Bower, Geoffrey C. ;

Bremer, Michael ;

Brinkerink, Christiaan D. ;

Brissenden, Roger ;

Britzen, Silke ;

Broderick, Avery E. ;

Broguiere, Dominique ;

Bronzwaer, Thomas ;

Byun, Do-Young ;

Carlstrom, John E. ;

Chael, Andrew ;

Chan, Chi-Kwan ;

Chatterjee, Shami ;

Chatterjee, Koushik ;

Chen, Ming-Tang ;

Chen, Yongjun ;

Cho, Ilje ;

Christian, Pierre ;

Conway, John E. ;

Cordes, James M. ;

Crew, Geoffrey B. ;

Cui, Yuzhu ;

Davelaar, Jordy ;

De Laurentis, Mariafelicia ;

Deane, Roger ;

Dempsey, Jessica ;

Desvignes, Gregory ;

Dexter, Jason ;

Doeleman, Sheperd S. ;

Eatough, Ralph P. ;

Falcke, Heino ;

Fish, Vincent L. ;

Fomalont, Ed ;

Fraga-Encinas, Raquel ;

Friberg, Per ;

Fromm, Christian M. ;

Gomez, Jose L. .

ASTROPHYSICAL JOURNAL LETTERS, 2019, 875 (01)

[10]

Ali A, 2020, ARXIV200402005 GR QC

← 1 2 3 4 5 6 7 8 9 10 →

共 105 条

[1] Distorted local shadows [J].

Abdolrahimi, Shohreh ;

Mann, Robert B. ;

Tzounis, Christos .

PHYSICAL REVIEW D, 2015, 91 (08)

[2] A coordinate-independent characterization of a black hole shadow [J].

Abdujabbarov, A. A. ;

Rezzolla, L. ;

Ahmedov, B. J. .

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2015, 454 (03) :2423-2435

[3] Shadow of the rotating black hole with quintessential energy in the presence of plasma [J].

Abdujabbarov, Ahmadjon ;

Toshmatov, Bobir ;

Stuchlik, Zdenek ;

Ahmedov, Bobomurat .

INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2017, 26 (06)

[4] First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole [J].

Akiyama, Kazunori ;

Alberdi, Antxon ;

Alef, Walter ;

Asada, Keiichi ;

Azulay, Rebecca ;

Baczko, Anne-Kathrin ;

Ball, David ;

Balokovic, Mislav ;

Barrett, John ;

Bintley, Dan ;

Blackburn, Lindy ;

Boland, Wilfred ;

Bouman, Katherine L. ;

Bower, Geoffrey C. ;

Bremer, Michael ;

Brinkerink, Christiaan D. ;

Brissenden, Roger ;

Britzen, Silke ;

Broderick, Avery E. ;

Broguiere, Dominique ;

Bronzwaer, Thomas ;

Byun, Do-Young ;

Carlstrom, John E. ;

Chael, Andrew ;

Chan, Chi-Kwan ;

Chatterjee, Shami ;

Chatterjee, Koushik ;

Chen, Ming-Tang ;

Chen, Yongjun ;

Cho, Ilje ;

Christian, Pierre ;

Conway, John E. ;

Cordes, James M. ;

Crew, Geoffrey B. ;

Cui, Yuzhu ;

Davelaar, Jordy ;

De Laurentis, Mariafelicia ;

Deane, Roger ;

Dempsey, Jessica ;

Desvignes, Gregory ;

Dexter, Jason ;

Doeleman, Sheperd S. ;

Eatough, Ralph P. ;

Falcke, Heino ;

Fish, Vincent L. ;

Fomalont, Ed ;

Fraga-Encinas, Raquel ;

Friberg, Per ;

Fromm, Christian M. ;

Gomez, Jose L. .

ASTROPHYSICAL JOURNAL LETTERS, 2019, 875 (01)

[5] First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring [J].

Akiyama, Kazunori ;

Alberdi, Antxon ;

Alef, Walter ;

Asada, Keiichi ;

Azulay, Rebecca ;

Baczko, Anne-Kathrin ;

Ball, David ;

Balokovic, Mislav ;

Barrett, John ;

Bintley, Dan ;

Blackburn, Lindy ;

Boland, Wilfred ;

Bouman, Katherine L. ;

Bower, Geoffrey C. ;

Bremer, Michael ;

Brinkerink, Christiaan D. ;

Brissenden, Roger ;

Britzen, Silke ;

Broderick, Avery E. ;

Broguiere, Dominique ;

Bronzwaer, Thomas ;

Byun, Do-Young ;

Carlstrom, John E. ;

Chael, Andrew ;

Chan, Chi-kwan ;

Chatterjee, Shami ;

Chatterjee, Koushik ;

Chen, Ming-Tang ;

Chen, Yongjun ;

Cho, Ilje ;

Christian, Pierre ;

Conway, John E. ;

Cordes, James M. ;

Crew, Geoffrey B. ;

Cui, Yuzhu ;

Davelaar, Jordy ;

De Laurentis, Mariafelicia ;

Deane, Roger ;

Dempsey, Jessica ;

Desvignes, Gregory ;

Dexter, Jason ;

Doeleman, Sheperd S. ;

Eatough, Ralph P. ;

Falcke, Heino ;

Fish, Vincent L. ;

Fomalont, Ed ;

Fraga-Encinas, Raquel ;

Friberg, Per ;

Fromm, Christian M. ;

Gomez, Jose L. .

ASTROPHYSICAL JOURNAL LETTERS, 2019, 875 (01)

[6] First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole [J].

Akiyama, Kazunori ;

Alberdi, Antxon ;

Alef, Walter ;

Asada, Keiichi ;

Azulay, Rebecca ;

Baczko, Anne-Kathrin ;

Ball, David ;

Balokovic, Mislav ;

Barrett, John ;

Bintley, Dan ;

Blackburn, Lindy ;

Boland, Wilfred ;

Bouman, Katherine L. ;

Bower, Geoffrey C. ;

Bremer, Michael ;

Brinkerink, Christiaan D. ;

Brissenden, Roger ;

Britzen, Silke ;

Broderick, Avery E. ;

Broguiere, Dominique ;

Bronzwaer, Thomas ;

Byun, Do-Young ;

Carlstrom, John E. ;

Chael, Andrew ;

Chan, Chi-Kwan ;

Chatterjee, Shami ;

Chatterjee, Koushik ;

Chen, Ming-Tang ;

Chen, Yongjun ;

Cho, Ilje ;

Christian, Pierre ;

Conway, John E. ;

Cordes, James M. ;

Crew, Geoffrey B. ;

Cui, Yuzhu ;

Davelaar, Jordy ;

De Laurentis, Mariafelicia ;

Deane, Roger ;

Dempsey, Jessica ;

Desvignes, Gregory ;

Dexter, Jason ;

Doeleman, Sheperd S. ;

Eatough, Ralph P. ;

Falcke, Heino ;

Fish, Vincent L. ;

Fomalont, Ed ;

Fraga-Encinas, Raquel ;

Freeman, William T. ;

Friberg, Per ;

Fromm, Christian M. .

ASTROPHYSICAL JOURNAL LETTERS, 2019, 875 (01)

[7] First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole [J].

Akiyama, Kazunori ;

Alberdi, Antxon ;

Alef, Walter ;

Asada, Keiichi ;

Azulay, Rebecca ;

Baczko, Anne-Kathrin ;

Ball, David ;

Balokovic, Mislav ;

Barrett, John ;

Bintley, Dan ;

Blackburn, Lindy ;

Boland, Wilfred ;

Bouman, Katherine L. ;

Bower, Geoffrey C. ;

Bremer, Michael ;

Brinkerink, Christiaan D. ;

Brissenden, Roger ;

Britzen, Silke ;

Broderick, Avery E. ;

Broguiere, Dominique ;

Bronzwaer, Thomas ;

Byun, Do-Young ;

Carlstrom, John E. ;

Chael, Andrew ;

Chan, Chi-kwan ;

Chatterjee, Shami ;

Chatterjee, Koushik ;

Chen, Ming-Tang ;

Chen, Yongjun ;

Cho, Ilje ;

Christian, Pierre ;

Conway, John E. ;

Cordes, James M. ;

Crew, Geoffrey B. ;

Cui, Yuzhu ;

Davelaar, Jordy ;

De Laurentis, Mariafelicia ;

Deane, Roger ;

Dempsey, Jessica ;

Desvignes, Gregory ;

Dexter, Jason ;

Doeleman, Sheperd S. ;

Eatough, Ralph P. ;

Falcke, Heino ;

Fish, Vincent L. ;

Fomalont, Ed ;

Fraga-Encinas, Raquel ;

Freeman, William T. ;

Friberg, Per ;

Fromm, Christian M. .

ASTROPHYSICAL JOURNAL LETTERS, 2019, 875 (01)

[8] First M87 Event Horizon Telescope Results. III. Data Processing and Calibration [J].

Akiyama, Kazunori ;

Alberdi, Antxon ;

Alef, Walter ;

Asada, Keiichi ;

Azulay, Rebecca ;

Baczko, Anne-Kathrin ;

Ball, David ;

Balokovic, Mislav ;

Barrett, John ;

Bintley, Dan ;

Blackburn, Lindy ;

Boland, Wilfred ;

Bouman, Katherine L. ;

Bower, Geoffrey C. ;

Bremer, Michael ;

Brinkerink, Christiaan D. ;

Brissenden, Roger ;

Britzen, Silke ;

Broderick, Avery E. ;

Broguiere, Dominique ;

Bronzwaer, Thomas ;

Byun, Do-Young ;

Carlstrom, John E. ;

Chael, Andrew ;

Chan, Chi-kwan ;

Chatterjee, Shami ;

Chatterjee, Koushik ;

Chen, Ming-Tang ;

Chen, Yongjun ;

Cho, Ilje ;

Christian, Pierre ;

Conway, John E. ;

Cordes, James M. ;

Crew, Geoffrey B. ;

Cui, Yuzhu ;

Davelaar, Jordy ;

De Laurentis, Mariafelicia ;

Deane, Roger ;

Dempsey, Jessica ;

Desvignes, Gregory ;

Dexter, Jason ;

Doeleman, Sheperd S. ;

Eatough, Ralph P. ;

Falcke, Heino ;

Fish, Vincent L. ;

Fomalont, Ed ;

Fraga-Encinas, Raquel ;

Friberg, Per ;

Fromm, Christian M. ;

Gomez, Jose L. .

ASTROPHYSICAL JOURNAL LETTERS, 2019, 875 (01)

[9] First M87 Event Horizon Telescope Results. II. Array and Instrumentation [J].

Akiyama, Kazunori ;

Alberdi, Antxon ;

Alef, Walter ;

Asada, Keiichi ;

Azulay, Rebecca ;

Baczko, Anne-Kathrin ;

Ball, David ;

Balokovic, Mislav ;

Barrett, John ;

Bintley, Dan ;

Blackburn, Lindy ;

Boland, Wilfred ;

Bouman, Katherine L. ;

Bower, Geoffrey C. ;

Bremer, Michael ;

Brinkerink, Christiaan D. ;

Brissenden, Roger ;

Britzen, Silke ;

Broderick, Avery E. ;

Broguiere, Dominique ;

Bronzwaer, Thomas ;

Byun, Do-Young ;

Carlstrom, John E. ;

Chael, Andrew ;

Chan, Chi-Kwan ;

Chatterjee, Shami ;

Chatterjee, Koushik ;

Chen, Ming-Tang ;

Chen, Yongjun ;

Cho, Ilje ;

Christian, Pierre ;

Conway, John E. ;

Cordes, James M. ;

Crew, Geoffrey B. ;

Cui, Yuzhu ;

Davelaar, Jordy ;

De Laurentis, Mariafelicia ;

Deane, Roger ;

Dempsey, Jessica ;

Desvignes, Gregory ;

Dexter, Jason ;

Doeleman, Sheperd S. ;

Eatough, Ralph P. ;

Falcke, Heino ;

Fish, Vincent L. ;

Fomalont, Ed ;

Fraga-Encinas, Raquel ;

Friberg, Per ;

Fromm, Christian M. ;

Gomez, Jose L. .

ASTROPHYSICAL JOURNAL LETTERS, 2019, 875 (01)

[10]

Ali A, 2020, ARXIV200402005 GR QC

← 1 2 3 4 5 6 7 8 9 10 →