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Habibi, M. Horrobin, N.M. F\\\"orster Schreiber, O. Pfuhl, O. Straub, P. Garcia, P. Kervella, P. L\\'ena, P.T. de Zeeuw, R. Genzel, S. Gillessen, S. Hippler, S. Lacour, S. Rabien, S. Scheithauer, S. von Fellenberg, S. Yazici, Th. Henning, T. Ott, T. Paumard, V. Coud\\'e du Foresto, V. Lapeyr\\`ere, W. Brandner, X. Haubois, Y. Cl\\'enet, Z. Hubert","submitted_at":"2019-02-12T00:35:58Z","abstract_excerpt":"During its orbit around the four million solar mass black hole Sagittarius A* the star S2 experiences significant changes in gravitational potential. We use this change of potential to test one part of the Einstein equivalence principle: the local position invariance (LPI). We study the dependency of different atomic transitions on the gravitational potential to give an upper limit on violations of the LPI. This is done by separately measuring the redshift from hydrogen and helium absorption lines in the stellar spectrum during its closest approach to the black hole. 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