First Sagittarius A* Event Horizon Telescope Results. VI. Testing the Black Hole Metric
Journal article, 2022

Astrophysical black holes are expected to be described by the Kerr metric. This is the only stationary, vacuum, axisymmetric metric, without electromagnetic charge, that satisfies Einstein's equations and does not have pathologies outside of the event horizon. We present new constraints on potential deviations from the Kerr prediction based on 2017 EHT observations of Sagittarius A* (Sgr A*). We calibrate the relationship between the geometrically defined black hole shadow and the observed size of the ring-like images using a library that includes both Kerr and non-Kerr simulations. We use the exquisite prior constraints on the mass-to-distance ratio for Sgr A* to show that the observed image size is within similar to 10% of the Kerr predictions. We use these bounds to constrain metrics that are parametrically different from Kerr, as well as the charges of several known spacetimes. To consider alternatives to the presence of an event horizon, we explore the possibility that Sgr A* is a compact object with a surface that either absorbs and thermally reemits incident radiation or partially reflects it. Using the observed image size and the broadband spectrum of Sgr A*, we conclude that a thermal surface can be ruled out and a fully reflective one is unlikely. We compare our results to the broader landscape of gravitational tests. Together with the bounds found for stellar-mass black holes and the M87 black hole, our observations provide further support that the external spacetimes of all black holes are described by the Kerr metric, independent of their mass.

Author

Kazunori Akiyama

Massachusetts Institute of Technology (MIT)

Harvard University

National Astronomical Observatory of Japan

Antxon Alberdi

Spanish National Research Council (CSIC)

Walter Alef

Max Planck Society

Juan Carlos Algaba

University of Malaya

Richard Anantua

Harvard-Smithsonian Center for Astrophysics

Harvard University

University of Texas

Keiichi Asada

Academia Sinica

Rebecca Azulay

Universitat de Valencia

Max Planck Society

Uwe Bach

Max Planck Society

Anne-Kathrin Baczko

Max Planck Society

David Ball

University of Arizona

Mislav Balokovic

Yale University

John Barrett

Massachusetts Institute of Technology (MIT)

Michi Baubock

University of Illinois

Bradford A. Benson

University of Chicago

Fermi National Accelerator Laboratory

Dan Bintley

James Clerk Maxwell Telescope

East Asian Observatory

Lindy Blackburn

Harvard-Smithsonian Center for Astrophysics

Harvard University

Raymond Blundell

Harvard-Smithsonian Center for Astrophysics

Katherine L. Bouman

California Institute of Technology (Caltech)

Geoffrey C. Bower

Academia Sinica

University of Hawaii

Hope Boyce

McGill University

Michael Bremer

Institut de Radioastronomie Millimétrique (IRAM)

Christiaan D. Brinkerink

Radboud University

Roger Brissenden

Harvard University

Harvard-Smithsonian Center for Astrophysics

Silke Britzen

Max Planck Society

Avery E. Broderick

University of Waterloo

Perimeter Institute for Theoretical Physics

Dominique Broguiere

Institut de Radioastronomie Millimétrique (IRAM)

Thomas Bronzwaer

Radboud University

Sandra Bustamante

University of Massachusetts

Do-Young Byun

Korea Astronomy and Space Science Institute

University of Science and Technology (UST)

John E. Carlstrom

University of Chicago

Chiara Ceccobello

Chalmers, Space, Earth and Environment, Astronomy and Plasmaphysics

Andrew Chael

Princeton University

National Aeronautics and Space Administration (NASA)

Chi-kwan Chan

University of Arizona

Koushik Chatterjee

Harvard University

Harvard-Smithsonian Center for Astrophysics

Shami Chatterjee

Cornell University

Ming-Tang Chen

Academia Sinica

Yongjun Chen

Chinese Academy of Sciences

Xiaopeng Cheng

Korea Astronomy and Space Science Institute

Ilje Cho

Spanish National Research Council (CSIC)

Pierre Christian

Fairfield University

Nicholas S. Conroy

University of Illinois

Harvard-Smithsonian Center for Astrophysics

John Conway

Chalmers, Space, Earth and Environment, Onsala Space Observatory

James M. Cordes

Cornell University

Thomas M. Crawford

University of Chicago

Geoffrey B. Crew

Massachusetts Institute of Technology (MIT)

Alejandro Cruz-Osorio

Goethe University Frankfurt

Yuzhu Cui

The Graduate University for Advanced Studies (SOKENDAI)

National Astronomical Observatory of Japan

Shanghai Jiao Tong University

Jordy Davelaar

Flatiron Institute

Columbia University

Radboud University

Mariafelicia De Laurentis

Goethe University Frankfurt

National Institute for Nuclear Physics

University of Naples Federico II

Roger Deane

University of Witwatersrand

University of Pretoria

Rhodes University

Jessica Dempsey

James Clerk Maxwell Telescope

Netherlands Institute for Radio Astronomy (ASTRON)

East Asian Observatory

Gregory Desvignes

Paris Descartes University

Max Planck Society

Jason Dexter

University of Colorado

Vedant Dhruv

University of Illinois

Sheperd S. Doeleman

Harvard-Smithsonian Center for Astrophysics

Harvard University

Sean Dougal

University of Arizona

Sergio A. Dzib

Institut de Radioastronomie Millimétrique (IRAM)

Max Planck Society

Ralph P. Eatough

Max Planck Society

Chinese Academy of Sciences

Razieh Emami

Harvard-Smithsonian Center for Astrophysics

Heino Falcke

Radboud University

Joseph Farah

University of California

Las Cumbres Observatory Global Telescope Network

Vincent L. Fish

Massachusetts Institute of Technology (MIT)

Ed Fomalont

National Radio Astronomy Observatory

H. Alyson Ford

University of Arizona

Raquel Fraga-Encinas

Radboud University

William T. Freeman

Google Inc.

Massachusetts Institute of Technology (MIT)

Per Friberg

East Asian Observatory

James Clerk Maxwell Telescope

Christian M. Fromm

Goethe University Frankfurt

Max Planck Society

University of Würzburg

Antonio Fuentes

Spanish National Research Council (CSIC)

Peter Galison

Harvard University

Charles F. Gammie

University of Illinois

Roberto Garcia

Institut de Radioastronomie Millimétrique (IRAM)

Olivier Gentaz

Institut de Radioastronomie Millimétrique (IRAM)

Boris Georgiev

Perimeter Institute for Theoretical Physics

University of Waterloo

Ciriaco Goddi

University of Cagliari

Istituto nazionale di astrofisica (INAF)

Roman Gold

University of Southern Denmark

Goethe University Frankfurt

Gomez-Ruiz

National Institute of Astrophysics, Optics and Electronics

National Council for Science and Technology Mexico

Jose L. Gomez

Spanish National Research Council (CSIC)

Minfeng Gu

Chinese Academy of Sciences

Mark Gurwell

Harvard-Smithsonian Center for Astrophysics

Kazuhiro Hada

The Graduate University for Advanced Studies (SOKENDAI)

National Astronomical Observatory of Japan

Daryl Haggard

McGill University

Kari Haworth

Harvard-Smithsonian Center for Astrophysics

Michael H. Hecht

Massachusetts Institute of Technology (MIT)

Ronald Hesper

University of Groningen

Dirk Heumann

University of Arizona

Luis C. Ho

Beijing University of Technology

Paul Ho

James Clerk Maxwell Telescope

Academia Sinica

Mareki Honma

The Graduate University for Advanced Studies (SOKENDAI)

National Astronomical Observatory of Japan

University of Tokyo

Chih-Wei L. Huang

Academia Sinica

Lei Huang

Chinese Academy of Sciences

David H. Hughes

National Institute of Astrophysics, Optics and Electronics

Shiro Ikeda

University of Tokyo

The Graduate University for Advanced Studies (SOKENDAI)

National Astronomical Observatory of Japan

The Institute of Statistical Mathematics

C. M. Violette Impellizzeri

National Radio Astronomy Observatory

Leiden University

Makoto Inoue

Academia Sinica

Sara Issaoun

Harvard-Smithsonian Center for Astrophysics

National Aeronautics and Space Administration (NASA)

David J. James

ASTRAVEO

Buell T. Jannuzi

University of Arizona

Michael Janssen

Max Planck Society

Britton Jeter

Academia Sinica

Wu Jiang

Chinese Academy of Sciences

Alejandra Jimenez-Rosales

Radboud University

Michael D. Johnson

Harvard-Smithsonian Center for Astrophysics

Harvard University

Svetlana Jorstad

Boston University

Joshi

University of Illinois

Taehyun Jung

Korea Astronomy and Space Science Institute

University of Science and Technology (UST)

Mansour Karami

University of Waterloo

Perimeter Institute for Theoretical Physics

Ramesh Karuppusamy

Max Planck Society

Tomohisa Kawashima

University of Tokyo

Garrett K. Keating

Harvard-Smithsonian Center for Astrophysics

Mark Kettenis

Joint Institute for VLBI in Europe (JIVE)

Dong-Jin Kim

Max Planck Society

Jae-Young Kim

Max Planck Society

Korea Astronomy and Space Science Institute

Kyungpook National University

Jongsoo Kim

Korea Astronomy and Space Science Institute

Junhan Kim

University of Arizona

California Institute of Technology (Caltech)

Motoki Kino

Kogakuin University of Technology and Engineering

National Astronomical Observatory of Japan

Jun Yi Koay

Academia Sinica

Prashant Kocherlakota

Goethe University Frankfurt

Yutaro Kofuji

University of Tokyo

National Astronomical Observatory of Japan

Patrick M. Koch

Academia Sinica

Shoko Koyama

Academia Sinica

Niigata University

Carsten Kramer

Institut de Radioastronomie Millimétrique (IRAM)

Michael Kramer

Max Planck Society

Thomas P. Krichbaum

Max Planck Society

Cheng-Yu Kuo

National Sun Yat-Sen University

Academia Sinica

Noemi La Bella

Radboud University

Tod R. Lauer

National Optical Astronomy Observatory

Daeyoung Lee

University of Illinois

Sang-Sung Lee

Korea Astronomy and Space Science Institute

Po Kin Leung

Chinese University of Hong Kong

Aviad Levis

California Institute of Technology (Caltech)

Zhiyuan Li

Nanjing University

Rocco Lico

Istituto nazionale di astrofisica (INAF)

Spanish National Research Council (CSIC)

Greg Lindahl

Harvard-Smithsonian Center for Astrophysics

Michael Lindqvist

Chalmers, Space, Earth and Environment, Onsala Space Observatory

Mikhail Lisakov

Max Planck Society

Jun Liu

Max Planck Society

Kuo Liu

Max Planck Society

Elisabetta Liuzzo

Istituto nazionale di astrofisica (INAF)

Italian ALMA Regional Centre

Wen-Ping Lo

Academia Sinica

National Taiwan University

Andrei P. Lobanov

Max Planck Society

Laurent Loinard

Universidad Nacional Autónoma de México

Colin J. Lonsdale

Massachusetts Institute of Technology (MIT)

Ru-Sen Lu

Chinese Academy of Sciences

Max Planck Society

Jirong Mao

Chinese Academy of Sciences

Nicola Marchili

Italian ALMA Regional Centre

Istituto nazionale di astrofisica (INAF)

Max Planck Society

Sera Markoff

University of Amsterdam

Daniel P. Marrone

University of Arizona

Alan P. Marscher

Boston University

Ivan Marti-Vidal

Universitat de Valencia

Satoki Matsushita

Academia Sinica

Lynn D. Matthews

Massachusetts Institute of Technology (MIT)

Lia Medeiros

University of Arizona

Institute for Advanced Study

Karl M. Menten

Max Planck Society

Daniel Michalik

European Space Agency (ESA)

University of Chicago

Izumi Mizuno

East Asian Observatory

James Clerk Maxwell Telescope

Yosuke Mizuno

Goethe University Frankfurt

Shanghai Jiao Tong University

James M. Moran

Harvard-Smithsonian Center for Astrophysics

Harvard University

Kotaro Moriyama

Goethe University Frankfurt

Massachusetts Institute of Technology (MIT)

National Astronomical Observatory of Japan

Monika Moscibrodzka

Radboud University

Cornelia Muller

Radboud University

Max Planck Society

Alejandro Mus

Universitat de Valencia

Gibwa Musoke

Radboud University

University of Amsterdam

Ioannis Myserlis

Institut de Radioastronomie Millimétrique (IRAM)

Andrew Nadolski

University of Illinois

Hiroshi Nagai

The Graduate University for Advanced Studies (SOKENDAI)

National Astronomical Observatory of Japan

Neil M. Nagar

University of Concepcion

Masanori Nakamura

Academia Sinica

National Institute of Technology (KOSEN)

Ramesh Narayan

Harvard University

Harvard-Smithsonian Center for Astrophysics

Gopal Narayanan

University of Massachusetts

Iniyan Natarajan

University of Witwatersrand

South African Radio Astronomy Observatory (SARAO)

Antonios Nathanail

Goethe University Frankfurt

National and Kapodistrian University of Athens

Santiago Navarro Fuentes

Institut de Radioastronomie Millimétrique (IRAM)

Joseph Neilsen

Villanova University

Roberto Neri

Institut de Radioastronomie Millimétrique (IRAM)

Chunchong Ni

University of Waterloo

Perimeter Institute for Theoretical Physics

Aristeidis Noutsos

Max Planck Society

Michael A. Nowak

Washington University in St. Louis

Junghwan Oh

Sejong University

Hiroki Okino

University of Tokyo

National Astronomical Observatory of Japan

Hector Olivares

Radboud University

Gisela N. Ortiz-Leon

Universidad Nacional Autónoma de México

Max Planck Society

Tomoaki Oyama

National Astronomical Observatory of Japan

Feryal Ozel

University of Arizona

Daniel C. M. Palumbo

Harvard University

Harvard-Smithsonian Center for Astrophysics

Georgios Filippos Paraschos

Max Planck Society

Jongho Park

Academia Sinica

Harriet Parsons

East Asian Observatory

James Clerk Maxwell Telescope

Nimesh Patel

Harvard-Smithsonian Center for Astrophysics

Ue-Li Pen

Academia Sinica

Canadian Institute for Advanced Research

University of Toronto

Perimeter Institute for Theoretical Physics

Dominic W. Pesce

Harvard-Smithsonian Center for Astrophysics

Harvard University

Vincent Pietu

Institut de Radioastronomie Millimétrique (IRAM)

Richard Plambeck

University of California

Aleksandar PopStefanija

University of Massachusetts

Oliver Porth

Goethe University Frankfurt

University of Amsterdam

Felix M. Potzl

Max Planck Society

University College Cork

Ben Prather

University of Illinois

Jorge A. Preciado-Lopez

Perimeter Institute for Theoretical Physics

Dimitrios Psaltis

University of Arizona

Hung-Yi Pu

National Taiwan Normal University

Academia Sinica

Venkatessh Ramakrishnan

University of Concepcion

University of Turku

Aalto University

Ramprasad Rao

Harvard-Smithsonian Center for Astrophysics

Mark G. Rawlings

James Clerk Maxwell Telescope

East Asian Observatory

Gemini Observatory North

Alexander W. Raymond

Harvard University

Harvard-Smithsonian Center for Astrophysics

Luciano Rezzolla

Frankfurt Institute for Advanced Studies

Goethe University Frankfurt

Trinity College Dublin

Angelo Ricarte

Harvard University

Harvard-Smithsonian Center for Astrophysics

Bart Ripperda

Flatiron Institute

Princeton University

Freek Roelofs

Radboud University

Harvard University

Harvard-Smithsonian Center for Astrophysics

Alan Rogers

Massachusetts Institute of Technology (MIT)

Eduardo Ros

Max Planck Society

Cristina Romero-Canizales

Academia Sinica

Arash Roshanineshat

University of Arizona

Helge Rottmann

Max Planck Society

Alan L. Roy

Max Planck Society

Ignacio Ruiz

Institut de Radioastronomie Millimétrique (IRAM)

Chet Ruszczyk

Massachusetts Institute of Technology (MIT)

Kazi L. J. Rygl

Istituto nazionale di astrofisica (INAF)

Italian ALMA Regional Centre

Salvador Sanchez

Institut de Radioastronomie Millimétrique (IRAM)

David Sanchez-Arguelles

National Council for Science and Technology Mexico

National Institute of Astrophysics, Optics and Electronics

Miguel Sanchez-Portal

Institut de Radioastronomie Millimétrique (IRAM)

Mahito Sasada

Tokyo Institute of Technology

Hiroshima University

National Astronomical Observatory of Japan

Kaushik Satapathy

University of Arizona

Tuomas Savolainen

Max Planck Society

Aalto University

F. Peter Schloerb

University of Massachusetts

Jonathan Schonfeld

Harvard-Smithsonian Center for Astrophysics

Karl-Friedrich Schuster

Institut de Radioastronomie Millimétrique (IRAM)

Lijing Shao

Max Planck Society

Beijing University of Technology

Zhiqiang Shen

Chinese Academy of Sciences

Des Small

Joint Institute for VLBI in Europe (JIVE)

Bong Won Sohn

University of Science and Technology (UST)

Yonsei University

East Asian Observatory

James Clerk Maxwell Telescope

Korea Astronomy and Space Science Institute

Jason SooHoo

Massachusetts Institute of Technology (MIT)

Kamal Souccar

University of Massachusetts

He Sun

California Institute of Technology (Caltech)

Fumie Tazaki

National Astronomical Observatory of Japan

Alexandra J. Tetarenko

Texas Tech University

National Aeronautics and Space Administration (NASA)

Paul Tiede

Harvard-Smithsonian Center for Astrophysics

Harvard University

Remo P. J. Tilanus

Radboud University

University of Arizona

Leiden University

Netherlands Organisation for Scientific Research (NWO)

Michael Titus

Massachusetts Institute of Technology (MIT)

Pablo Torne

Institut de Radioastronomie Millimétrique (IRAM)

Max Planck Society

Efthalia Traianou

Spanish National Research Council (CSIC)

Max Planck Society

Tyler Trent

University of Arizona

Sascha Trippe

Seoul National University

Matthew Turk

University of Illinois

Ilse van Bemmel

Joint Institute for VLBI in Europe (JIVE)

Huib Jan van Langevelde

Leiden University

University of New Mexico

Joint Institute for VLBI in Europe (JIVE)

Daniel R. van Rossum

Radboud University

Jesse Vos

Radboud University

Jan Wagner

Max Planck Society

Derek Ward-Thompson

University of Central Lancashire

John Wardle

Brandeis University

Jonathan Weintroub

Harvard University

Harvard-Smithsonian Center for Astrophysics

Norbert Wex

Max Planck Society

Robert Wharton

Max Planck Society

Maciek Wielgus

Max Planck Society

Kaj Wiik

University of Turku

Gunther Witzel

Max Planck Society

Michael F. Wondrak

Radboud University

George N. Wong

Princeton University

Institute for Advanced Study

Qingwen Wu

Huazhong University of Science and Technology

Paul Yamaguchi

Harvard-Smithsonian Center for Astrophysics

Doosoo Yoon

University of Amsterdam

Andre Young

Radboud University

Ken Young

Harvard-Smithsonian Center for Astrophysics

Ziri Younsi

Goethe University Frankfurt

University College London (UCL)

Feng Yuan

Chinese Academy of Sciences

Ye-Fei Yuan

University of Science and Technology of China

James Clerk Maxwell Telescope

East Asian Observatory

J. Anton Zensus

Max Planck Society

Shuo Zhang

Bard College

Guang-Yao Zhao

Spanish National Research Council (CSIC)

Shan-Shan Zhao

Chinese Academy of Sciences

Astrophysical Journal Letters

2041-8205 (ISSN) 2041-8213 (eISSN)

Vol. 930 2 L17

Subject Categories (SSIF 2011)

Astronomy, Astrophysics and Cosmology

Other Physics Topics

Radiology, Nuclear Medicine and Medical Imaging

DOI

10.3847/2041-8213/ac6756

More information

Latest update

1/7/2026 3