 
 
ESOcast 173: First Successful Test of Einstein’s General Relativity Near Supermassive Black Hole 
 
 
Artist's impression of star passing close to supermassive black hole 
 
 
Zooming in on the heart of the Milky Way 
 
 
The star S2 makes a close approach to the black hole at the centre of the Milky Way 
 
 
Stars orbiting the black hole at the heart of the Milky Way 
 
 
Simulation of the orbits of stars around the black hole at the centre of the Milky Way 
 
 
Animation of the orbit of the star S2 around the galactic centre black hole 
 
 
Fulldome view of stars orbiting the black hole at the heart of the Milky Way 
 
 
Orbiting a black hole near the event horizon (fulldome) 
 
 
Close-up of a black hole near the event horizon (fulldome) 
 
 
Orbiting a black hole near the event horizon 2 (fulldome) 
 
 
Orbiting a black hole near the event horizon 3 (fulldome) 
 
 
Orbiting a black hole near the event horizon 4 (fulldome) 
 
 
Flight from the Earth to the Milky Way Black Hole 
 
 
Testing general relativity at the Galactic Centre — compilation
 
Observations made with ESO’s Very Large 
Telescope have for the first time revealed the effects predicted by 
Einstein’s general relativity on the motion of a star passing through 
the extreme gravitational field near the supermassive black hole in the 
centre of the Milky Way. This long-sought result represents the climax 
of a 26-year-long observation campaign using ESO’s telescopes in Chile.
Obscured by thick clouds of absorbing dust, the closest 
supermassive black hole to the Earth lies 26 000 light-years away at the
 centre of the Milky Way. This gravitational monster, which has a mass 
four million times that of the Sun, is surrounded by a small group of 
stars orbiting around it at high speed. This extreme environment — the 
strongest gravitational field in our galaxy — makes it the perfect place
 to explore gravitational physics, and particularly to test Einstein’s 
general theory of relativity.
New infrared observations from the exquisitely sensitive 
GRAVITY [1], 
SINFONI and 
NACO instruments on 
ESO’s Very Large Telescope
 (VLT) have now allowed astronomers to follow one of these stars, called
 S2, as it passed very close to the black hole during May 2018. At the 
closest point this star was at a distance of less than 20 billion 
kilometres from the black hole and moving at a speed in excess of 25 
million kilometres per hour — almost three percent of the speed of light
 [2].
The team compared the position and velocity measurements 
from GRAVITY and SINFONI respectively, along with previous observations 
of S2 using other instruments, with the predictions of Newtonian 
gravity, general relativity and other theories of gravity. The new 
results are inconsistent with Newtonian predictions and in excellent 
agreement with the predictions of general relativity.
“This is the second time that we have observed the 
close passage of S2 around the black hole in our galactic centre. But 
this time, because of much improved instrumentation, we were able to 
observe the star with unprecedented resolution,” explains Genzel. “We
 have been preparing intensely for this event over several years, as we 
wanted to make the most of this unique opportunity to observe general 
relativistic effects.”
The new measurements clearly reveal an effect called 
gravitational redshift.
 Light from the star is stretched to longer wavelengths by the very 
strong gravitational field of the black hole. And the change in the 
wavelength of light from S2 agrees precisely with that predicted by 
Einstein’s theory of general relativity. This is the first time that 
this deviation from the predictions of the simpler Newtonian theory of 
gravity has been observed in the motion of a star around a supermassive 
black hole.
The team used 
SINFONI to measure the velocity of S2 towards and away from Earth and the 
GRAVITY instrument in the 
VLT Interferometer (VLTI) to make extraordinarily precise measurements of the changing position of S2 in order to define the shape of its orbit. 
GRAVITY
 creates such sharp images that it can reveal the motion of the star 
from night to night as it passes close to the black hole — 26 000 
light-years from Earth.
 
 
“
Our first observations of S2 with GRAVITY, about two years ago, already showed that we would have the ideal black hole laboratory,” adds Frank Eisenhauer (MPE), Principal Investigator of GRAVITY and the SINFONI spectrograph. “
During
 the close passage, we could even detect the faint glow around the black
 hole on most of the images, which allowed us to precisely follow the 
star on its orbit, ultimately leading to the detection of the 
gravitational redshift in the spectrum of S2.”
 
 
More than one hundred years after he published his paper 
setting out the equations of general relativity, Einstein has been 
proved right once more — in a much more extreme laboratory than he could
 have possibly imagined!
 
Françoise Delplancke, head of the System Engineering Department at ESO, explains the significance of the observations: “Here
 in the Solar System we can only test the laws of physics now and under 
certain circumstances. So it’s very important in astronomy to also check
 that those laws are still valid where the gravitational fields are very
 much stronger.”
 
Continuing observations are expected to reveal another relativistic 
effect very soon — a small rotation of the star’s orbit, known as 
Schwarzschild precession — as S2 moves away from the black hole.
Xavier Barcons, ESO’s Director General, concludes: “ESO
 has worked with Reinhard Genzel and his team and collaborators in the 
ESO Member States for over a quarter of a century. It was a huge 
challenge to develop the uniquely powerful instruments needed to make 
these very delicate measurements and to deploy them at the VLT in Paranal. The discovery announced today is the very exciting result of a remarkable partnership.”
Notes
 
 
[1] GRAVITY was developed by a collaboration consisting of 
the Max Planck Institute for Extraterrestrial Physics (Germany), LESIA 
of Paris Observatory–PSL / CNRS / Sorbonne Université / Univ. Paris 
Diderot and IPAG of Université Grenoble Alpes / CNRS (France), the Max 
Planck Institute for Astronomy (Germany), the University of Cologne 
(Germany), the CENTRA–Centro de Astrofisica e Gravitação (Portugal) and 
ESO.
 
 
[2] S2 orbits the black hole
 every 16 years in a highly eccentric orbit that brings it within twenty
 billion kilometres — 120 times the distance from Earth to the Sun, or 
about four times the distance from the Sun to Neptune — at its closest 
approach to the black hole. This distance corresponds to about 1500 
times the Schwarzschild radius of the black hole itself. 
 
 
[3] Observations of the 
centre of the Milky Way must be made at longer wavelengths (in this case
 infrared) as the clouds of dust between the Earth and the central 
region strongly absorb visible light. 
More Information
 
This research was presented in a paper entitled “Detection 
of the Gravitational Redshift in the Orbit of the Star S2 near the 
Galactic Centre Massive Black Hole“, by the GRAVITY Collaboration, to 
appear in the journal Astronomy & Astrophysics on 26 July 2018.
 
The GRAVITY Collaboration team is composed of: R. Abuter 
(ESO, Garching, Germany), A. Amorim (Universidade de Lisboa, Lisbon, 
Portugal), N. Anugu (Universidade do Porto, Porto, Portugal), M. Bauböck
 (Max Planck Institute for Extraterrestrial Physics, Garching, Germany 
[MPE]), M. Benisty (Univ. Grenoble Alpes, CNRS, IPAG, Grenoble, France 
[IPAG]), J.P. Berger (IPAG; ESO, Garching, Germany), N. Blind 
(Observatoire de Genève, Université de Genève, Versoix, Switzerland), H.
 Bonnet (ESO, Garching, Germany), W. Brandner (Max Planck Institute for 
Astronomy, Heidelberg, Germany [MPIA]), A. Buron (MPE), C. Collin 
(LESIA, Observatoire de Paris, PSL Research University, CNRS, Sorbonne 
Universités, UPMC Univ. Paris 06, Univ. Paris Diderot, Meudon, France 
[LESIA]), F. Chapron (LESIA), Y. Clénet (LESIA), V. Coudé du Foresto 
(LESIA), P. T. de Zeeuw (Sterrewacht Leiden, Leiden University, Leiden, 
The Netherlands; MPE), C. Deen (MPE), F. Delplancke-Ströbele (ESO, 
Garching, Germany), R. Dembet (ESO, Garching, Germany; LESIA), J. Dexter
 (MPE), G. Duvert (IPAG), A. Eckart (University of Cologne, Cologne, 
Germany; Max Planck Institute for Radio Astronomy, Bonn, Germany), F. 
Eisenhauer (MPE), G. Finger (ESO, Garching, Germany), N.M. Förster 
Schreiber (MPE), P. Fédou (LESIA), P. Garcia (Universidade do Porto, 
Porto, Portugal), R. Garcia Lopez (MPIA), F. Gao (MPE), E. Gendron 
(LESIA), R. Genzel (MPE; University of California, Berkeley, California,
 USA), S. Gillessen (MPE), P. Gordo (Universidade de Lisboa, Lisboa, 
Portugal), M. Habibi (MPE), X. Haubois (ESO, Santiago, Chile), M. Haug 
(ESO, Garching, Germany), F. Haußmann (MPE), Th. Henning (MPIA), S. 
Hippler (MPIA), M. Horrobin (University of Cologne, Cologne, Germany), 
Z. Hubert (LESIA; MPIA), N. Hubin (ESO, Garching, Germany), A. Jimenez 
Rosales (MPE), L. Jochum (ESO, Garching, Germany), L. Jocou (IPAG), A. 
Kaufer (ESO, Santiago, Chile), S. Kellner (Max Planck Institute for 
Radio Astronomy, Bonn, Germany), S. Kendrew (MPIA, ESA), P. Kervella 
(LESIA; MPIA), Y. Kok (MPE), M. Kulas (MPIA), S. Lacour (LESIA), V. 
Lapeyrère (LESIA), B. Lazareff (IPAG), J.-B. Le Bouquin (IPAG), P. Léna 
(LESIA), M. Lippa (MPE), R. Lenzen (MPIA), A. Mérand (ESO, Garching, 
Germany), E. Müller (ESO, Garching, Germany; MPIA), U. Neumann (MPIA), 
T. Ott (MPE), L. Palanca (ESO, Santiago, Chile), T. Paumard (LESIA), L. 
Pasquini (ESO, Garching, Germany), K. Perraut (IPAG), G. Perrin (LESIA),
 O. Pfuhl (MPE), P.M. Plewa (MPE), S. Rabien (MPE), J. Ramos (MPIA), C. 
Rau (MPE), G. Rodríguez-Coira (LESIA), R.-R. Rohloff (MPIA), G. Rousset 
(LESIA), J. Sanchez-Bermudez (ESO, Santiago, Chile; MPIA), S. 
Scheithauer (MPIA), M. Schöller (ESO, Garching, Germany), N. Schuler 
(ESO, Santiago, Chile), J. Spyromilio (ESO, Garching, Germany), O. 
Straub (LESIA), C. Straubmeier (University of Cologne, Cologne, 
Germany), E. Sturm (MPE), L.J. Tacconi (MPE), K.R.W. Tristram (ESO, 
Santiago, Chile), F. Vincent (LESIA), S. von Fellenberg (MPE), I. Wank 
(University of Cologne, Cologne, Germany), I. Waisberg (MPE), F. Widmann
 (MPE), E. Wieprecht (MPE), M. Wiest (University of Cologne, Cologne, 
Germany), E. Wiezorrek (MPE), J. Woillez (ESO, Garching, Germany), S. 
Yazici (MPE; University of Cologne, Cologne, Germany), D. Ziegler 
(LESIA) and G. Zins (ESO, Santiago, Chile).