Static spherical vacuum solutions in the bumblebee gravity model

被引：49

作者：

Xu, Rui ^{[1
]}

Liang, Dicong ^{[1
]}

Shao, Lijing ^{[1
,2
]}

机构：

[1] Peking Univ, Kavli Inst Astron & Astrophys, Beijing 100871, Peoples R China

[2] Chinese Acad Sci, Natl Astron Observ, Beijing 100012, Peoples R China

来源：

PHYSICAL REVIEW D | 2023年 / 107卷 / 02期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

TELESCOPE RESULTS. I; BLACK-HOLE; REFLECTION; SHADOW;

D O I：

10.1103/PhysRevD.107.024011

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The bumblebee gravity model is a vector-tensor theory of gravitation where the vector field nonminimally couples to the Ricci tensor. By investigating the vacuum field equations with spherical symmetry, we find two families of black-hole (BH) solutions in this model: one has a vanishing radial component of the vector field and the other has a vanishing radial component of the Ricci tensor. When the coupling between the vector field and the Ricci tensor is set to zero, the first family becomes the Reissner-Nordstrom solution while the second family degenerates to the Schwarzschild solution with the vector field being zero. General numerical solutions in both families are obtained for nonzero coupling between the vector field and the Ricci tensor. Besides BH solutions, we also reveal the existence of solutions that have a nonvanishing tt-component of the metric on the supposed event horizon where the rr-component of the metric diverges while the curvature scalars are finite. These solutions are not supported by existing observations but present certain properties that are of academic interests. We conclude the study by putting the BH solutions into tests against the Solar-System observations and the images of supermassive BHs.

引用

页数：21

共 42 条

[1] GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs [J].

Abbott, B. P. ;

Abbott, R. ;

Abbott, T. D. ;

Abraham, S. ;

Acernese, F. ;

Ackley, K. ;

Adams, C. ;

Adhikari, R. X. ;

Adya, V. B. ;

Affeldt, C. ;

Agathos, M. ;

Agatsuma, K. ;

Aggarwal, N. ;

Aguiar, O. D. ;

Aiello, L. ;

Ain, A. ;

Ajith, P. ;

Allen, G. ;

Allocca, A. ;

Aloy, M. A. ;

Altin, P. A. ;

Amato, A. ;

Ananyeva, A. ;

Anderson, S. B. ;

Anderson, W. G. ;

Angelova, S., V ;

Antier, S. ;

Appert, S. ;

Arai, K. ;

Araya, M. C. ;

Areeda, J. S. ;

Arene, M. ;

Arnaud, N. ;

Arun, K. G. ;

Ascenzi, S. ;

Ashton, G. ;

Aston, S. M. ;

Astone, P. ;

Aubin, F. ;

Aufmuth, P. ;

AultONeal, K. ;

Austin, C. ;

Avendano, V ;

Avila-Alvarez, A. ;

Babak, S. ;

Bacon, P. ;

Badaracco, F. ;

Bader, M. K. M. ;

Bae, S. ;

Baker, P. T. .

PHYSICAL REVIEW X, 2019, 9 (03)

[2] GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo during the First Half of the Third Observing Run [J].

Abbott, R. ;

Abbott, T. D. ;

Abraham, S. ;

Acernese, F. ;

Ackley, K. ;

Adams, A. ;

Adams, C. ;

Adhikari, R. X. ;

Adya, V. B. ;

Affeldt, C. ;

Agathos, M. ;

Agatsuma, K. ;

Aggarwal, N. ;

Aguiar, O. D. ;

Aiello, L. ;

Ain, A. ;

Ajith, P. ;

Akcay, S. ;

Allen, G. ;

Allocca, A. ;

Altin, P. A. ;

Amato, A. ;

Anand, S. ;

Ananyeva, A. ;

Anderson, S. B. ;

Anderson, W. G. ;

Angelova, S., V ;

Ansoldi, S. ;

Antelis, J. M. ;

Antier, S. ;

Appert, S. ;

Arai, K. ;

Araya, M. C. ;

Areeda, J. S. ;

Arene, M. ;

Arnaud, N. ;

Aronson, S. M. ;

Arun, K. G. ;

Asali, Y. ;

Ascenzi, S. ;

Ashton, G. ;

Aston, S. M. ;

Astone, P. ;

Aubin, F. ;

Aufmuth, P. ;

AultONeal, K. ;

Austin, C. ;

Avendano, V ;

Babak, S. ;

Badaracco, F. .

PHYSICAL REVIEW X, 2021, 11 (02)

[3]

Abbott R., 2021, arXiv

[4] Mass distribution in the Galactic Center based on interferometric astrometry of multiple stellar orbits [J].

Abuter, R. ;

Aimar, N. ;

Amorim, A. ;

Ball, J. ;

Bauboeck, M. ;

Berger, J. P. ;

Bonnet, H. ;

Bourdarot, G. ;

Brandner, W. ;

Cardoso, V ;

Clenet, Y. ;

Dallilar, Y. ;

Davies, R. ;

de Zeeuw, P. T. ;

Dexter, J. ;

Drescher, A. ;

Eisenhauer, F. ;

Schreiber, N. M. Foerster ;

Foschi, A. ;

Garcia, P. ;

Gao, F. ;

Gendron, E. ;

Genzel, R. ;

Gillessen, S. ;

Habibi, M. ;

Haubois, X. ;

Heissel, G. ;

Henning, T. ;

Hippler, S. ;

Horrobin, M. ;

Jochum, L. ;

Jocou, L. ;

Kaufer, A. ;

Kervella, P. ;

Lacour, S. ;

Lapeyrere, V ;

Le Bouquin, J-B ;

Lena, P. ;

Lutz, D. ;

Ott, T. ;

Paumard, T. ;

Perraut, K. ;

Perrin, G. ;

Pfuhl, O. ;

Rabien, S. ;

Shangguan, J. ;

Shimizu, T. ;

Scheithauer, S. ;

Stadler, J. ;

Stephens, A. W. .

ASTRONOMY & ASTROPHYSICS, 2022, 657

[5] First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way [J].

Akiyama, Kazunori ;

Alberdi, Antxon ;

Alef, Walter ;

Algaba, Juan Carlos ;

Anantua, Richard ;

Asada, Keiichi ;

Azulay, Rebecca ;

Bach, Uwe ;

Baczko, Anne-Kathrin ;

Ball, David ;

Balokovic, Mislav ;

Barrett, John ;

Baubock, Michi ;

Benson, Bradford A. ;

Bintley, Dan ;

Blackburn, Lindy ;

Blundell, Raymond ;

Bouman, Katherine L. ;

Bower, Geoffrey C. ;

Boyce, Hope ;

Bremer, Michael ;

Brinkerink, Christiaan D. ;

Brissenden, Roger ;

Britzen, Silke ;

Broderick, Avery E. ;

Broguiere, Dominique ;

Bronzwaer, Thomas ;

Bustamante, Sandra ;

Byun, Do-Young ;

Carlstrom, John E. ;

Ceccobello, Chiara ;

Chael, Andrew ;

Chan, Chi-kwan ;

Chatterjee, Koushik ;

Chatterjee, Shami ;

Chen, Ming-Tang ;

Chen, Yongjun ;

Cheng, Xiaopeng ;

Cho, Ilje ;

Christian, Pierre ;

Conroy, Nicholas S. ;

Conway, John E. ;

Cordes, James M. ;

Crawford, Thomas M. ;

Crew, Geoffrey B. ;

Cruz-Osorio, Alejandro ;

Cui, Yuzhu ;

Davelaar, Jordy ;

De Laurentis, Mariafelicia ;

Deane, Roger .

ASTROPHYSICAL JOURNAL LETTERS, 2022, 930 (02)

[6] First Sagittarius A* Event Horizon Telescope Results. VI. Testing the Black Hole Metric [J].

Akiyama, Kazunori ;

Alberdi, Antxon ;

Alef, Walter ;

Algaba, Juan Carlos ;

Anantua, Richard ;

Asada, Keiichi ;

Azulay, Rebecca ;

Bach, Uwe ;

Baczko, Anne-Kathrin ;

Ball, David ;

Balokovic, Mislav ;

Barrett, John ;

Baubock, Michi ;

Benson, Bradford A. ;

Bintley, Dan ;

Blackburn, Lindy ;

Blundell, Raymond ;

Bouman, Katherine L. ;

Bower, Geoffrey C. ;

Boyce, Hope ;

Bremer, Michael ;

Brinkerink, Christiaan D. ;

Brissenden, Roger ;

Britzen, Silke ;

Broderick, Avery E. ;

Broguiere, Dominique ;

Bronzwaer, Thomas ;

Bustamante, Sandra ;

Byun, Do-Young ;

Carlstrom, John E. ;

Ceccobello, Chiara ;

Chael, Andrew ;

Chan, Chi-kwan ;

Chatterjee, Koushik ;

Chatterjee, Shami ;

Chen, Ming-Tang ;

Chen, Yongjun ;

Cheng, Xiaopeng ;

Cho, Ilje ;

Christian, Pierre ;

Conroy, Nicholas S. ;

Conway, John E. ;

Cordes, James M. ;

Crawford, Thomas M. ;

Crew, Geoffrey B. ;

Cruz-Osorio, Alejandro ;

Cui, Yuzhu ;

Davelaar, Jordy ;

De Laurentis, Mariafelicia ;

Deane, Roger .

ASTROPHYSICAL JOURNAL LETTERS, 2022, 930 (02)

[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]

Arnowitt R, 2008, GEN RELAT GRAVIT, V40, P1997, DOI 10.1007/s10714-008-0661-1

[9] REFLECTION AT A COMPLEX POTENTIAL BARRIER IN SEMICLASSICAL THEORY OF SCATTERING [J].

AVISHAI, Y ;

KNOLL, J .

ZEITSCHRIFT FUR PHYSIK A-HADRONS AND NUCLEI, 1976, 279 (04) :415-423

[10] Signals for Lorentz violation in post-Newtonian gravity [J].

Bailey, Quentin G. ;

Kostelecky, V. Alan .

PHYSICAL REVIEW D, 2006, 74 (04)

← 1 2 3 4 5 →