[1] A. Einstein. The foundation of the general theory of relativity. Ann. Phys., 354, 769-822(1916).

[2] J. C. Hafele, R. E. Keating. Around-the-world atomic clocks: predicted relativistic time gains. Science, 177, 166-168(1972).

[3] M. Kramer, I. H. Stairs, R. N. Manchester, M. A. McLaughlin, A. G. Lyne, R. D. Ferdman, M. Burgay, D. R. Lorimer, A. Possenti, N. D’Amico, J. M. Sarkissian, G. B. Hobbs, J. E. Reynolds, P. C. C. Freire, F. Camilo. Tests of general relativity from timing the double pulsar. Science, 314, 97-102(2006).

[4] B. P. Abbott, R. Abbott, T. D. Abbott, M. R. Abernathy, F. Acernese, K. Ackley, C. Adams, T. Adams, P. Addesso, R. X. Adhikari, V. B. Adya, C. Affeldt, M. Agathos, K. Agatsuma, N. Aggarwal, O. D. Aguiar, L. Aiello, A. Ain, P. Ajith, B. Allen, A. Allocca, P. A. Altin, S. B. Anderson, W. G. Anderson, K. Arai, M. A. Arain, M. C. Araya, C. C. Arceneaux, J. S. Areeda, N. Arnaud, K. G. Arun, S. Ascenzi, G. Ashton, M. Ast, S. M. Aston, P. Astone, P. Aufmuth, C. Aulbert, S. Babak, P. Bacon, M. K. M. Bader, P. T. Baker, F. Baldaccini, G. Ballardin, S. W. Ballmer, J. C. Barayoga, S. E. Barclay, B. C. Barish, D. Barker, F. Barone, B. Barr, L. Barsotti, M. Barsuglia, D. Barta, J. Bartlett, M. A. Barton, I. Bartos, R. Bassiri, A. Basti, J. C. Batch, C. Baune, V. Bavigadda, M. Bazzan, B. Behnke, M. Bejger, C. Belczynski, A. S. Bell, C. J. Bell, B. K. Berger, J. Bergman, G. Bergmann, C. P. L. Berry, D. Bersanetti, A. Bertolini, J. Betzwieser, S. Bhagwat, R. Bhandare, I. A. Bilenko, G. Billingsley, J. Birch, R. Birney, O. Birnholtz, S. Biscans, A. Bisht, M. Bitossi, C. Biwer, M. A. Bizouard, J. K. Blackburn, C. D. Blair, D. G. Blair, R. M. Blair, S. Bloemen, O. Bock, T. P. Bodiya, M. Boer, G. Bogaert, C. Bogan, A. Bohe, P. Bojtos. Observation of gravitational waves from a binary black hole merger. Phys. Rev. Lett., 116, 061102(2016).

[5] R. Abuter, GRAVITY Collaboration, A. Amorim, M. Bauboeck, J. P. Berger, H. Bonnet, W. Brandner, V. Cardoso, Y. Clenet, P. T. de Zeeuw, J. Dexter, A. Eckart, F. Eisenhauer, N. M. Foerster Schreiber, P. Garcia, F. Gao, E. Gendron, R. Genzel, S. Gillessen, M. Habibi, X. Haubois, T. Henning, S. Hippler, M. Horrobin, A. Jimenez-Rosales, L. Jochum, L. Jocou, A. Kaufer, P. Kervella, S. Lacour, V. Lapeyrere, J.-B. Le Bouquin, P. Lena, M. Nowak, T. Ott, T. Paumard, K. Perraut, G. Perrin, O. Pfuhl, G. Rodriguez-Coira, J. Shangguan, S. Scheithauer, J. Stadler, O. Straub, C. Straubmeier, E. Sturm, L. J. Tacconi, F. Vincent, S. von Fellenberg, I. Waisberg, F. Widmann, E. Wieprecht, E. Wiezorrek, J. Woillez, S. Yazici, G. Zins. Detection of the Schwarzschild precession in the orbit of the star S2 near the Galactic centre massive black hole. Astron. Astrophys., 636, L5(2020).

[6] J. B. Pendry, D. Schurig, D. R. Smith. Controlling electromagnetic fields. Science, 312, 1780-1782(2006).

[7] U. Leonhardt. Optical conformal mapping. Science, 312, 1777-1780(2006).

[8] H. Y. Chen, C. T. Chan, P. Sheng. Transformation optics and metamaterials. Nat. Mater., 9, 387-396(2010).

[9] V. M. Shalaev. Transforming light. Science, 322, 384-386(2008).

[10] D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry. Metamaterial electromagnetic cloak at microwave frequencies. Science, 314, 977-980(2006).

[11] W. S. Cai, U. K. Chettiar, A. V. Kildishev, V. M. Shalaev. Optical cloaking with metamaterials. Nat. Photonics, 1, 224-227(2007).

[12] H. Y. Chen, Z. X. Liang, P. J. Yao, X. Y. Jiang, H. R. Ma, C. T. Chan. Extending the bandwidth of electromagnetic cloaks. Phys. Rev. B, 76, 241104(2007).

[13] R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, D. R. Smith. Broadband ground-plane cloak. Science, 323, 366-369(2009).

[14] S. Tretyakov, P. Alitalo, O. Luukkonen, C. Simovski. Broadband electromagnetic cloaking of long cylindrical objects. Phys. Rev. Lett., 103, 103905(2009).

[15] J. Valentine, J. S. Li, T. Zentgraf, G. Bartal, X. Zhang. An optical cloak made of dielectrics. Nat. Mater., 8, 568-571(2009).

[16] L. H. Gabrielli, J. Cardenas, C. B. Poitras, M. Lipson. Silicon nanostructure cloak operating at optical frequencies. Nat. Photonics, 3, 461-463(2009).

[17] I. I. Smolyaninov, V. N. Smolyaninova, A. V. Kildishev, V. M. Shalaev. Anisotropic metamaterials emulated by tapered waveguides: application to optical cloaking. Phys. Rev. Lett., 102, 213901(2009).

[18] H. Y. Chen, C. T. Chan. Transformation media that rotate electromagnetic fields. Appl. Phys. Lett., 90, 241105(2007).

[19] H. Y. Chen, B. Hou, S. Y. Chen, X. Y. Ao, W. J. Wen, C. T. Chan. Design and experimental realization of a broadband transformation media field rotator at microwave frequencies. Phys. Rev. Lett., 102, 183903(2009).

[20] Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. J. Xiao, Z. Q. Zhang, C. T. Chan. Illusion optics: the optical transformation of an object into another object. Phys. Rev. Lett., 102, 253902(2009).

[21] H. Y. Chen, R. X. Miao, M. Li. Transformation optics that mimics the system outside a Schwarzschild black hole. Opt. Express, 18, 15183-15188(2010).

[22] E. E. Narimanov, A. V. Kildishev. Optical black hole: broadband omnidirectional light absorber. Appl. Phys. Lett., 95, 041106(2009).

[23] Q. Cheng, T. J. Cui, W. X. Jiang, B. G. Cai. An omnidirectional electromagnetic absorber made of metamaterials. New J. Phys., 12, 063006(2010).

[24] D. A. Genov. Optical black-hole analogues. Nat. Photonics, 5, 76-78(2011).

[25] H. Y. Chen, S. C. Tao, J. Bělin, J. Courtial, R. X. Miao. Transformation cosmology. Phys. Rev. A, 102, 023528(2020).

[26] H. W. Wang, L. W. Chen. A cylindrical optical black hole using graded index photonic crystals. J. Appl. Phys., 109, 103104(2011).

[27] S. Y. Liu, L. Li, Z. F. Lin, H. Y. Chen, J. Zi, C. T. Chan. Graded index photonic hole: analytical and rigorous full wave solution. Phys. Rev. B, 82, 054204(2010).

[28] C. Sheng, R. Bekenstein, H. Liu, S. N. Zhu, M. Segev. Wavefront shaping through emulated curved space in waveguide settings. Nat. Commun., 7, 10747(2016).

[29] M. Li, R. X. Miao, Y. Pang. Casimir energy, holographic dark energy and electromagnetic metamaterial mimicking de Sitter. Phys. Lett. B, 689, 55-59(2010).

[30] M. Li, R. X. Miao, Y. Pang. More studies on metamaterials mimicking de Sitter space. Opt. Express, 18, 9026-9033(2010).

[31] T. G. Mackay, A. Lakhtakia. Towards a metamaterial simulation of a spinning cosmic string. Phys. Lett. A, 374, 2305-2308(2010).

[32] C. Sheng, H. Liu, H. Y. Chen, S. N. Zhu. Definite photon deflections of topological defects in metasurfaces and symmetry-breaking phase transitions with material loss. Nat. Commun., 9, 4271(2018).

[33] J. Evans. The ray form of Newton’s law of motion. Am. J. Phys., 61, 347-350(1993).

[34] J. Evans. Simple forms for equations of rays in gradient-index lenses. Am. J. Phys., 58, 773-778(1990).

[35] D. A. Genov, S. Zhang, X. Zhang. Mimicking celestial mechanics in metamaterials. Nat. Phys., 5, 687-692(2009).

[36] U. Leonhardt, T. Philbin. Geometry and Light: The Science of Invisibility(2012).

[37] L. D. Landan, E. M. Lifshitz. The Classical Theory of Fields, Course of Theoretical Physics, 2(1975).

[38] H. Reissner. Über die Eigengravitation des elektrischen Feldes nach der Einsteinschen Theorie. Ann. Phys., 355, 106-120(1916).

[39] G. Nordström. On the energy of the gravitation field in Einstein’s theory. Proc. Kon. Ned. Akad. Wet., 20, 1238-1245(1918).

[40] B. James, T. Scott. Galactic Dynamics(2009).

[41] J. E. Eaton. On spherically symmetric lenses. IRE Trans. Antennas Propag., PGAP-4, 66-71(1952).

[42] T. Tyc, L. Herzánová, M. Šarbort, K. Bering. Absolute instruments and perfect imaging in geometrical optics. New J. Phys., 13, 115004(2011).

[43] R. K. Luneburg. Mathematical Theory of Optics(1964).

[44] H. Y. Chen, W. Xiao. Morse lens. Chin. Opt. Lett., 18, 062403(2020).