Weak and strong deflection gravitational lensing by a renormalization group improved Schwarzschild black hole

被引:63
作者
Lu, Xu [1 ,2 ]
Xie, Yi [1 ,2 ]
机构
[1] Nanjing Univ, Sch Astron & Space Sci, Nanjing 210023, Jiangsu, Peoples R China
[2] Nanjing Univ, Minist Educ, Key Lab Modern Astron & Astrophys, Nanjing 210023, Jiangsu, Peoples R China
来源
EUROPEAN PHYSICAL JOURNAL C | 2019年 / 79卷 / 12期
基金
中国国家自然科学基金;
关键词
STRONG-FIELD; GEOMETRY; GRAVITY; TESTS;
D O I
10.1140/epjc/s10052-019-7537-2
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
Weak and strong deflection gravitational lensing by a renormalization group improved Schwarzschild black hole is investigated and its observables are found. By taking the supermassive black holes Sgr A* and M87* respectively in the Galactic Center and at the center of M87 as lenses, we estimate these observables and analyse possibility of detecting this quantum improvement. It is not feasible to distinguish such a black hole by most observables in the near future except for the apparent size of the shadow. We also note that directly using measured shadow of M87* to constrain this quantum effect requires great care.
引用
收藏
页数:15
相关论文
共 113 条
[1]   Lensing by Kerr black holes. II: Analytical study of quasi-equatorial lensing observables [J].
Aazami, Amir B. ;
Keeton, Charles R. ;
Petters, A. O. .
JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (10)
[2]   Lensing by Kerr black holes. I. General lens equation and magnification formula [J].
Aazami, Amir B. ;
Keeton, Charles R. ;
Petters, A. O. .
JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (09)
[3]   GW150914: The Advanced LIGO Detectors in the Era of First Discoveries [J].
Abbott, B. P. ;
Abbott, R. ;
Abbott, T. D. ;
Abernathy, M. R. ;
Acernese, F. ;
Ackley, K. ;
Adams, C. ;
Adams, T. ;
Addesso, P. ;
Adhikari, R. X. ;
Adya, V. B. ;
Affeldt, C. ;
Agathos, M. ;
Agatsuma, K. ;
Aggarwal, N. ;
Aguiar, O. D. ;
Aiello, L. ;
Ain, A. ;
Ajith, P. ;
Allen, B. ;
Allocca, A. ;
Altin, P. A. ;
Anderson, S. B. ;
Anderson, W. G. ;
Arai, K. ;
Araya, M. C. ;
Arceneaux, C. C. ;
Areeda, J. S. ;
Arnaud, N. ;
Arun, K. G. ;
Ascenzi, S. ;
Ashton, G. ;
Ast, M. ;
Aston, S. M. ;
Astone, P. ;
Aufmuth, P. ;
Aulbert, C. ;
Babak, S. ;
Bacon, P. ;
Bader, M. K. M. ;
Baker, P. T. ;
Baldaccini, F. ;
Ballardin, G. ;
Ballmer, S. W. ;
Barayoga, J. C. ;
Barclay, S. E. ;
Barish, B. C. ;
Barker, D. ;
Barone, F. ;
Barr, B. .
PHYSICAL REVIEW LETTERS, 2016, 116 (13)
[4]   GW170608: Observation of a 19 Solar-mass Binary Black Hole Coalescence [J].
Abbott, B. P. ;
Abbott, R. ;
Abbott, T. D. ;
Acernese, F. ;
Ackley, K. ;
Adams, C. ;
Adams, T. ;
Addesso, P. ;
Adhikari, R. X. ;
Adya, V. B. ;
Affeldt, C. ;
Afrough, M. ;
Agarwal, B. ;
Agathos, M. ;
Agatsuma, K. ;
Aggarwal, N. ;
Aguiar, O. D. ;
Aiello, L. ;
Ain, A. ;
Ajith, P. ;
Allen, B. ;
Allen, G. ;
Allocca, 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. ;
Arnaud, N. ;
Arun, K. G. ;
Ascenzi, S. ;
Ashton, G. ;
Ast, M. ;
Aston, S. M. ;
Astone, P. ;
Atallah, D. V. ;
Aufmuth, P. ;
Aulbert, C. ;
AultONeal, K. ;
Austin, C. ;
Avila-Alvarez, A. ;
Babak, S. ;
Bacon, P. ;
Bader, M. K. M. .
ASTROPHYSICAL JOURNAL LETTERS, 2017, 851 (02)
[5]   GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence [J].
Abbott, B. P. ;
Abbott, R. ;
Abbott, T. D. ;
Acernese, F. ;
Ackley, K. ;
Adams, C. ;
Adams, T. ;
Addesso, P. ;
Adhikari, R. X. ;
Adya, V. B. ;
Affeldt, C. ;
Afrough, M. ;
Agarwal, B. ;
Agathos, M. ;
Agatsuma, K. ;
Aggarwal, N. ;
Aguiar, O. D. ;
Aiello, L. ;
Ain, A. ;
Ajith, P. ;
Allen, B. ;
Allen, G. ;
Allocca, 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. ;
Arnaud, N. ;
Arun, K. G. ;
Ascenzi, S. ;
Ashton, G. ;
Ast, M. ;
Aston, S. M. ;
Astone, P. ;
Atallah, D. V. ;
Aufmuth, P. ;
Aulbert, C. ;
AultONeal, K. ;
Austin, C. ;
Avila-Alvarez, A. ;
Babak, S. ;
Bacon, P. ;
Bader, M. K. M. .
PHYSICAL REVIEW LETTERS, 2017, 119 (14)
[6]   Binary Black Hole Mergers in the First Advanced LIGO Observing Run [J].
Abbott, B. P. ;
Abbott, R. ;
Abbott, T. D. ;
Abernathy, M. R. ;
Acernese, F. ;
Ackley, K. ;
Adams, C. ;
Adams, T. ;
Addesso, P. ;
Adhikari, R. X. ;
Adya, V. B. ;
Affeldt, C. ;
Agathos, M. ;
Agatsuma, K. ;
Aggarwal, N. ;
Aguiar, O. D. ;
Aiello, L. ;
Ain, A. ;
Ajith, P. ;
Allen, B. ;
Allocca, A. ;
Altin, P. A. ;
Anderson, S. B. ;
Anderson, W. G. ;
Arai, K. ;
Araya, M. C. ;
Arceneaux, C. C. ;
Areeda, J. S. ;
Arnaud, N. ;
Arun, K. G. ;
Ascenzi, S. ;
Ashton, G. ;
Ast, M. ;
Aston, S. M. ;
Astone, P. ;
Aufmuth, P. ;
Aulbert, C. ;
Babak, S. ;
Bacon, P. ;
Bader, M. K. M. ;
Baker, P. T. ;
Baldaccini, F. ;
Ballardin, G. ;
Ballmer, S. W. ;
Barayoga, J. C. ;
Barclay, S. E. ;
Barish, B. C. ;
Barker, D. ;
Barone, F. ;
Barr, B. .
PHYSICAL REVIEW X, 2016, 6 (04)
[7]  
Abdalla H, 2018, ASTRON ASTROPHYS, V610, DOI [10.1051/0004-6361/201833052, 10.1051/0004-6361/201732426]
[8]   First light for GRAVITY: Phase referencing optical interferometry for the Very Large Telescope Interferometer [J].
Abuter, R. ;
Accardo, M. ;
Amorim, A. ;
Anugu, N. ;
Avila, G. ;
Azouaoui, N. ;
Benisty, M. ;
Berger, J. P. ;
Blind, N. ;
Bonnet, H. ;
Bourget, P. ;
Brandner, W. ;
Brast, R. ;
Buron, A. ;
Burtscher, L. ;
Cassaing, F. ;
Chapron, F. ;
Choquet, E. ;
Clenet, Y. ;
Collin, C. ;
du Foresto, V. Coude ;
de Wit, W. ;
de Zeeuw, P. T. ;
Deen, C. ;
Delplancke-Stroebele, F. ;
Dembet, R. ;
Derie, F. ;
Dexter, J. ;
Duvert, G. ;
Ebert, M. ;
Eckart, A. ;
Eisenhauer, F. ;
Esselborn, M. ;
Fedou, P. ;
Finger, G. ;
Garcia, P. ;
Dabo, C. E. Garcia ;
Lopez, R. Garcia ;
Gendron, E. ;
Genzel, R. ;
Gillessen, S. ;
Gonte, F. ;
Gordo, P. ;
Grould, M. ;
Groezinger, U. ;
Guieu, S. ;
Haguenauer, P. ;
Hans, O. ;
Haubois, X. ;
Haug, M. .
ASTRONOMY & ASTROPHYSICS, 2017, 602
[9]   Black holes: complementarity or firewalls? [J].
Almheiri, Ahmed ;
Marolf, Donald ;
Polchinski, Joseph ;
Sully, James .
JOURNAL OF HIGH ENERGY PHYSICS, 2013, (02)
[10]   Quantum superposition principle and gravitational collapse:: Scattering times for spherical shells -: art. no. 064025 [J].
Ambrus, M ;
Hájícek, P .
PHYSICAL REVIEW D, 2005, 72 (06)